Math

Problem 2701

Simplify the expression. 7m+27m+47 m+2-7 m+4

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Problem 2702

6. -4x-2y = 8 X-int (0) 86-24 4- int (0) y 6 5 4 3 2 72 1 0 -6-5-4-3-2-1 123456 1 -2 -3 34 -41 -5- -6-

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Problem 2703

7. Find the slope of the tangent line at point (2,2)(-2,2) on the curve f(x)=2x2+3xf(x)=2 x^{2}+3 x. [4 marks]

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Problem 2704

2 A group of 50 learners discuss the chances of their first ragby and hockey teams winning their respective matches the following day. The opinions of the learners were as follows: - 30 thought that their rugly team would win - 35 thought that their hockey teatn would win * Gthought that hoth their hockey and rugly teams would lose * nobody thought that there would be a draw in either game. 2.1 Copy and complete the contingency tatile \begin{tabular}{|l|l|l|l|} \cline { 2 - 4 } & Hockey will win & Hockey will lone & Fotal \\ \hline Kaghy will win & & & \\ \hline Haghy will lase & & & \\ \hline Total & & & \\ \hline \end{tabular} 2.2 Gased on these apinions, determine the probahility that: 2.2.1 both the hockey and rugby teams veill win their matcles. 2.2.2 the hockey team will win and the rugby team will lose- 2.3 Show that according to these opinions, winning hockey and winning rugby are independent events.

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Problem 2705

A rectangle has a perimeter of 40 cm and a length of x cmx \mathrm{~cm}. Show that its area is given by A=20xx2A=20 x-x^{2} and find the length when the area is
Xem 96 cm296 \mathrm{~cm}^{2}. P=40 cmP=40 \mathrm{~cm} A=96 cmA=96 \mathrm{~cm}

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Problem 2706

3nn2+m2 When m=8,n=6\begin{array}{c}3 n-\sqrt{n^{2}+m^{2}} \\ \text { When } m=8, n=-6\end{array}

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Problem 2707

A) solo II. B) I y III. C) solo I.
4. Si Marco emplea 15 días en recorrer la trayectoria l a razón de 6 h/d6 \mathrm{~h} / \mathrm{d}, ¿cuánto demorará en recorrer la trayectoria ll a 8 h/d8 \mathrm{~h} / \mathrm{d} ? 10.

Trayectoria I Trayectoria II (A) 18 B) 15 C) 12 D) 20 E) 14

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Problem 2708

16. Volume. Seutas kawat yang panjangnya 144 cm akan digunakan untuk membuat rangka balok yang alasnya berbentuk persegi dengan panjang sisi x cmx \mathrm{~cm}. a). Nyatakan volume balok tersebut sebagai fungsi terhadap xx. b). Tentukan daerah asal fungsi di bagian (a). c). Tentukan volume balok tersebut untuk x=12x=12.

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Problem 2709

Assignment: Show complete solution 1 Perform the following multiplications and simplify your results: (a) (8x4)(4x23x+2)(8 x-4)\left(4 x^{2}-3 x+2\right) (b) (2x+3)(5x3+3x4)(2 x+3)\left(5 x^{3}+3 x-4\right)

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Problem 2710

(Author, Title, Pages) Example: The Bus Ride Taking the Dory Jagna Transit costs P 15.00 for the first ten kilometers (10 km)(10 \mathrm{~km}). Each additional ten kilometers adds P5.00P 5.00 to the fare. Moreover, if the trip reaches forty kilometers, the additional rate becomes P10.00P 10.00 for each ten-kilometer additional distance. Note that the vehicle's route is from Jagna to Tagbilaran (vice versa) only.
How much will a passenger pay for: a) a 5-kilometer ride? b) a 30-kilometer ride? c) a 60-kilometer ride?
Solution: a) For a 5-km ride: Since P15.00P 15.00 is the minimum fare, then for a minimum distance of 10 km , therefore a passenger will pay P15.00P 15.00. b) For a 30km30-\mathrm{km} ride: Since 30 km is beyond the minimum distance, and since the additional rate becomes P5.00P 5.00 per ten kilometers, we then have,
Fare == minimum fare + additional fare We must solve for the "additional fare" first:  Additional Fare = additional rate ×( distance travelled  min.  distance ) Additional Fare =(P5.0010 km/h)×(3010)km=P10.00\begin{array}{l} \text { Additional Fare }=\text { additional rate } \times(\text { distance travelled }- \text { min. } \text { distance }) \\ \text { Additional Fare }=\left(\frac{\mathbf{P} 5.00}{10 \mathrm{~km} / \mathrm{h}}\right) \times(30-10) \mathrm{km}=\mathrm{P} 10.00 \end{array}
Therefore, we get,  Fare =P15+P10=P25.00\text { Fare }=\mathbf{P} 15+\mathbf{P} 10=\mathbf{P} \underline{25.00} Exercises: 1) Solve for item c in the example. (Hint: Solve first for the "new minimum fare" at the distance of 40 km , which is now the "new minimum distance" to be considered.) 2) If you are the passenger en route to Tagbilaran City (roughly 69.79 km . away from Jagna), how much will you pay for the fare? (Note: Think practical.)

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Problem 2711

9. Solve the following: b. Find the mean of the first 15 odd natural numbers. 2215=15\rightarrow \frac{22}{15}=15 Ars. c. Compare the mean, median, and mode of the following data: 8,15,15,178,15,15,17, and 20.8+15+15+134020 . \rightarrow 8+15+15+1340
10. The median of observations 4,5,8,11,x+2,x+4,19,26,29,324,5,8,11, x+2, x+4,19,26,29,32 is 13 . Find the value of xx if the values already written in ascending order.
11. The weight (in kg ) of 20 students of a class are as follows: 36,42,45,36,40,45,38,41,36,39,49,43,44,34,50,48,52,41,51,3636,42,45,36,40,45,38,41,36,39,49,43,44,34,50,48,52,41,51,36

Find the mean, median and mode of the given data.
12. A dice was rolled 30 times and the following scores were obtained: 1,6,5,2,6,3,5,1,6,5,3,5,1,3,3,2,6,4,4,4,5,3,4,6,6,2,1,3,5,31,6,5,2,6,3,5,1,6,5,3,5,1,3,3,2,6,4,4,4,5,3,4,6,6,2,1,3,5,3

Find the mode of the given data. 1) Find the mean of the following data: \begin{tabular}{|l|c|c|c|c|c|c|} \hline Agec| & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline No. of students & 23 & 19 & 35 & 18 & 32 & 46 \\ \hline \end{tabular}

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Problem 2712

Question 9
In your own words, explain how exploding dots work as presented in the videos.
Use the editor to format your answer I
Word count: 0

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Problem 2713

10. The median of observations 4,5,8,11,x+2,x+4,19,26,29,324,5,8,11, x+2, x+4,19,26,29,32 is 13 . Find the value of xx if the values already written in ascending order.
11. The weight (in kg ) of 20 students of a class are as follows: 36,42,45,36,40,45,38,41,36,39,49,43,44,34,50,48,52,41,51,3636,42,45,36,40,45,38,41,36,39,49,43,44,34,50,48,52,41,51,36

Find the mean, median and mode of the given data.
12. A dice was rolled 30 times and the following scores were obtained: 1,6,5,2,6,3,5,1,6,5,3,5,1,3,3,2,6,4,4,4,5,3,4,6,6,2,1,3,5,31,6,5,2,6,3,5,1,6,5,3,5,1,3,3,2,6,4,4,4,5,3,4,6,6,2,1,3,5,3

Find the mode of the given data.
3. Find the mean of the following data: \begin{tabular}{|l|c|c|c|c|c|c|} \hline Age & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline No. of students & 23 & 19 & 35 & 18 & 32 & 46 \\ \hline \end{tabular}

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Problem 2714

Solve tt is pair of simultaneous equation graphically, y=x2+4x5y=x^{2}+4 x-5 and y=2x2y=2 x-2. And also shade the region defined simultaneously by the inequalities yx2+4x5y \geq x^{2}+4 x-5 and y2x2y \leq 2 x-2 on the same graph.

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Problem 2715

sec5αtan5α\int \sec 5 \alpha \tan 5 \alpha

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Problem 2716

14. Find the value of pp from the following distribution, given that its mean is 40 .
15. Find the mean for the following frequency distribution: \begin{tabular}{|l|c|c|c|c|c|c|c|} \hline Variable (x)(x) & 14 & 4 & 8 & 5 & 11 & 4 \\ \hline Frequency (t(x))(t(x)) & 3 & 5 & 7 & 8 & 4 & 4 \\ \hline \end{tabular}
16. Construct a data set of seven items from your daily life based on the following conditions: a. The mean, median, and mode are 5 . b. The mean is 2, median is 3 , and mode is 4 .

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Problem 2717

sinx+cosxsin2xdx\int \frac{\sin x+\cos x}{\sin ^{2} x} d x

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Problem 2718

Find the values of the unknows ' xx and ' yy ' in the following diagrams.

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Problem 2719

Nilai dari 7232252=\frac{\sqrt[2]{7}-\sqrt[2]{3}}{2 \sqrt[2]{5}}=\ldots

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Problem 2720

pq=(2i+jk)(i3j+2k)p \cdot q=(2 i+j-k)(i-3 j+2 k)

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Problem 2721

Factor 2x27x+62 x^{2}-7 x+6 a. (x3)(2x2)(x-3)(2 x-2) c. (x2)(2x3)(x-2)(2 x-3) b. (x2)(2x+3)(x-2)(2 x+3) d. (x2)(x3)(x-2)(x-3)

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Problem 2722

SEKOTA COLLEGE OF TEACHERS EDUCATION MATHEMATICS DEPARTMENT Basic mathematics II(math: 102) test one 10%10 \% time Name \qquad IDNO cossin2Igg\cos ^{\circ} \sin ^{2} \mathrm{Ig}_{\mathrm{g}} Say true if the stetment is correct otherwise \qquad 1.A sequence is a function whose domain is the set of all real numb \qquad
2. {12,1,2,4,}\left\{\frac{1}{2}, 1,2,4, \ldots\right\} is example of Geometric sequence -
3. (1,2,3,4 )is example of Arithmetic sequence
4. A geometric sequence with q4=16\boldsymbol{q}_{\mathbf{4}}=16 and G1=2G_{\mathbf{1}}=2, the common ratic

Workout show the necessary steps each 2 Write the Difference between arithmetic and Geometric sequ re one example to each ve an Arithemetic sequence with a3=8,a5=15a_{3}=8, a_{5}=15, find a2a_{2} en a Geometric sequence G1=1G_{1}=1 and common ratio r=4r=4 fi

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Problem 2723

اوجد المشتقة من رتبة ا\cdotا للاقتران f(x)=xsin(x)f(x)=x \sin (x)

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Problem 2724

15 the line that Passes through the distict Points A(m,1),B(1,12m)A(m,-1), B(1,1-2 m) intersects the yy-axis atapoint of widthe 3 . At what length Woes this line intersect the xx-axis?

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Problem 2725

20 shares of stock were purchased for $40\$ 40 per share with a $6\$ 6 commission. What is the total cost of this investment?

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Problem 2726

What is the dividend yield on Stock AA that sells at $25/\$ 25 / share, when Company A pays a quarterly dividend of $0.20\$ 0.20 per share?
Dividend Yield = [?]\% Dividend Yield = Annual Dividend  Share Price =\frac{\text { Annual Dividend }}{\text { Share Price }}

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Problem 2727

1) 2414\frac{2}{4}-\frac{1}{4}

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Problem 2728

Calculate the new balance on this account after these charges and payments are applied.
Credit Card Statement \begin{tabular}{|l|r|} \hline Previous Balance & $200.00\$ 200.00 \\ \hline Finance Charge & $12.00\$ 12.00 \\ \hline New Purchases & $80.00\$ 80.00 \\ \hline Payments & $(150.00)\$(150.00) \\ \hline Credits & $00.00\$ 00.00 \\ \hline \end{tabular}
New Balance == $[?]\$[?]

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Problem 2729

Find the missing terms in each geometric sequence below. Show your colutions. 3,,18,542.2,,116\begin{array}{l} -3, \ldots,-18,54 \\ 2 .-2, \ldots, \frac{1}{16} \end{array}

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Problem 2730

1.) Eine Parabel mit dem Scheitel S(2/12)S(2 / 12) schneidet die yy-Achse in der Höhe y0=6y_{0}=6. c) Bestimme die Funktionsgleichung in Scheitelpunktsform (SPF) und in allgemeiner Form (AF), d.h. f(x)=ax2+bx+cf(x)=a x^{2}+b x+c

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Problem 2731

5x445x25 x^{4}-45 x^{2}

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Problem 2732

الختر لد
42. 0 400 50 o 340 d @stemschool6

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Problem 2733

11. If 2y+3y2y=te2t2 y^{\prime \prime}+3 y^{\prime}-2 y=t e^{-2 t} and y(0)=y(0)=0y(0)=y^{\prime}(0)=0, then the Laplace transform of y(t)y(t) is a) 1(s1)(s+2)3\frac{1}{(s-1)(s+2)^{3}} b) 1(2s1)(s+2)3\frac{1}{(2 s-1)(s+2)^{3}} \checkmark c) 1(2s1)(2s+2)(s+2)2\frac{1}{(2 s-1)(2 s+2)(s+2)^{2}} d) 1(s1)(2s+2)(s+2)2\frac{1}{(s-1)(2 s+2)(s+2)^{2}} e) None

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Problem 2734

Henrietta managed a plantation of pine trees which were grown and sold for their timber. The plantation was developed from an initial planting of 45000 trees, with a net increase, after sales and plantings, of 2500 trees each year over a period of 15 years. At the beginning of the 16 th year of the plantation, it was decided to sell-off 40%40 \% of the trees remaining on the plantation each year for timber, without any further plantings, so that the land could ultimately be used for another purpose. Questions:
1. How many trees were on the plantation at the beginning of the 5 th year of the plantation?
2. At the beginning of which year of the plantation there were 65000 trees on the plantation?

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Problem 2735

Question 1
Find the Laplace Transform of t3(2e1At+(sinBt)(cosBt))t^{3}\left(2 e^{1-A t}+(\sin B t)(\cos B t)\right) given that: A=9B=5\begin{array}{l} A=9 \\ B=5 \end{array}
Assumes that s=4.722s=4.722
Round your answer to 4 decimal places.

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Problem 2736

Question 2
Find the Laplace Transform of AeBt+12tCA e^{B t+1}-2 t^{C} given that: A=2B=7C=7\begin{array}{l} A=-2 \\ B=7 \\ C=7 \end{array}
Assumes that s=3.478\mathrm{s}=3.478
Round your answer to 4 decimal places.

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Problem 2737

14. Barb and John Cooper's family had the following co-payments: 9 in-network physicians visits, 10 out-of-network physicians, 2 specialist visits in-network, 10 out-of-network specialists, 15 out-of-network physical therapy visits at $110\$ 110 each, and 1 emergency room visits plus an ambulance fee of $200\$ 200. Since they prefer brand drugs, they had pharmacy charges for 15 brand-name drugs. After the insurance company payment, there was a hospital balance of $9,260\$ 9,260 (which includes the family deductible of $4,500\$ 4,500 ). What was the total amount the family paid for health care, excluding their monthly insurance premium cost? a. $15,945.00\$ 15,945.00 b. $11,445.00\$ 11,445.00 c. $9,445.00\$ 9,445.00 d. $9,145.00\$ 9,145.00
Business Math - Exam 16 - Page 4 Go On
16. Using all of the medical services defined in question 14, how much would Barb and John Cooper have saved if they had used all in-network physicians, specials, and therapists instead of using out-of-network physicians, specialists, and therapists? a. $365.00\$ 365.00 b. $300.00\$ 300.00 c. $200.00\$ 200.00 $150.00\$ 150.00

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Problem 2738

50 La somma di 200000200000 € viene spartita tra Ugo e Alessio in modo che a Ugo tocchi il 65\% del totale. Quanto spetta ad Alessio? [70000][70000 €]

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Problem 2739

14. Barb and John Cooper's family had the following co-payments: 9 in-network physicians visits, 10 out-of-network physicians, 2 specialist visits in-network, 10 out-of-network specialists, 15 out-of-network physical therapy visits at $110\$ 110 each, and 1 emergency room visits plus an ambulance fee of $200\$ 200. Since they prefer brand drugs, they had pharmacy charges for 15 brand-name drugs. After the insurance company payment, there was a hospital balance of $9,260\$ 9,260 (which includes the family deductible of $4,500\$ 4,500 ). What was the total amount the family paid for health care, excluding their monthly insurance premium cost? a. $15,945.00\$ 15,945.00 b. $11,445.00\$ 11,445.00 c. $9,445.00\$ 9,445.00 d. $9,145.00\$ 9,145.00 Business Math - Exam 16 - Page 4 Go On
15. How much would Barb and John Cooper have saved if they had used all generic drugs instead of brand-name drugs? a. $300.00\$ 300.00 b. $250.00\$ 250.00 c. $200.00\$ 200.00 $150.00\$ 150.00
16. Using all of the medical services defined in question 14, how much would Barb and John Cooper have saved if they had used all in-network physicians, specials, and therapists instead of using out-of-network physicians, specialists, and therapists? a. $365.00\$ 365.00 b. $300.00\$ 300.00 c. $200.00\$ 200.00 $150.00\$ 150.00

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Problem 2740

4. En el ABC\triangle A B C, rectángulo en C,CDC, C D altura. Si BC=5 cmB C=5 \mathrm{~cm} y DB=4 cmD B=4 \mathrm{~cm}, entonces AC=A C=

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Problem 2741

54. Correct IUPAC name of the given compound is (1) 2-methylbutan-2-ol (2) 2-methylbutan-4-ol (3) 2-methylbutan-1-ol (4) 2-Ethylbutan-1-ol

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Problem 2742

14. Barb and John Cooper's family had the following co-payments: 9 in-network physicians visits, 10 out-of-network physicians, 2 specialist visits in-network, 10 out-of-network specialists, 15 out-of-network physical therapy visits at $110\$ 110 each, and 1 emergency room visits plus an ambulance fee of $200\$ 200. Since they prefer brand drugs, they had pharmacy charges for 15 brand-name drugs. After the insurance company payment, there was a hospital balance of $9,260\$ 9,260 (which includes the family deductible of $4,500\$ 4,500 ). What was the total amount the family paid for health care, excluding their monthly insurance premium cost? a. $15,945.00\$ 15,945.00 b. $11,445.00\$ 11,445.00 c. $9,445.00\$ 9,445.00 d. $9,145.00\$ 9,145.00

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Problem 2743

If GG is the midpoint of FH\overline{F H} and FH=6y2F H=6 y-2, find yy.

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Problem 2744

14. Barb and John Cooper's family had the following co-payments: 9 in-network physicians visits, 10 out-of-network physicians, 2 specialist visits in-network, 10 out-of-network specialists, 15 out-of-network physical therapy visits at $110\$ 110 each, and 1 emergency room visits plus an ambulance fee of $200\$ 200. Since they prefer brand drugs, they had pharmacy charges for 15 brand-name drugs. After the insurance company payment, there was a hospital balance of $9,260\$ 9,260 (which includes the family deductible of $4,500\$ 4,500 ). What was the total amount the family paid for health care, excluding their monthly insurance premium cost? a. $15,945.00\$ 15,945.00 b. $11,445.00\$ 11,445.00 c. $9,445.00\$ 9,445.00 d. $9,145.00\$ 9,145.00
Business Math - Exam 16 - Page 4 Go On
15. How much would Barb and John Cooper have saved if they had used all generic drugs instead of brand-name drugs? a. $300.00\$ 300.00 b. $250.00\$ 250.00 c. $200.00\$ 200.00 $150.00\$ 150.00
16. Using all of the medical services defined in question 14, how much would Barb and John Cooper have saved if they had used all in-network physicians, specials, and therapists instead of using out-of-network physicians, specialists, and therapists? a. $365.00\$ 365.00 b. $300.00\$ 300.00 c. $200.00\$ 200.00 $150.00\$ 150.00

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Problem 2745

x25x2x2a2÷x27x+102x25a+2\frac{x^{2}-5 x}{2 x^{2}-a^{2}} \div \frac{x^{2}-7 x+10}{2 x^{2}-5 a+2}

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Problem 2746

Find म्ट्रिप्र 0 क्या xx und yy

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Problem 2747

1.) (fg)(x)=f(x)g(x) wheren f(x)=3x2+4x+1g(x)=2x3\begin{aligned} (f \cdot g)(x) & =f(x) \cdot g(x) \\ \text { wheren } & f(x)=3 x^{2}+4 x+1 \\ g(x) & =2 x-3 \end{aligned}

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Problem 2748

Déterminer suivant le paramètre réel mm, le nombre de solutions du système (S):{2mx+m2yxmx=1m(S):\left\{\begin{array}{l}-2 m x+m^{2} y \\ x-m x=1-m\end{array}\right.

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Problem 2749

FACULDADE DA ECONOMIA
EXAME ESPECIAL DE ESTATISTICA II TURMAS: 22^{\circ} ANO TARDE E NOTTE DATA: 02/09/2024 DURAÇAO: 14H00\mathbf{1 4} \mathrm{H} \mathrm{00}^{\circ} - 16H00
1. Suponha que: P(A)=0,4P(B)=0,3P(C)=0,7P(A)=0,4 \quad P(B)=0,3 \quad P(C)=0,7 \quad e P(ABCˉ)=0,1P(A \cap B \cap \bar{C})=0,1 Determine : P[C\(AB)]P[C \backslash(A \cap B)] ( 5 valores)
2. Seja XX a variável aleatória com a seguinte distribuição de probabilidade: \begin{tabular}{|c|c|c|c|c|} \hlineXiX_{i} & 12k1-2 k & k1k-1 & kk & 2k2 k \\ \hlinepip_{i} & pp & 3p3 p & pp & pp \\ \hline \end{tabular} a) Sabendo que E[X]=13E[X]=\frac{1}{3}, calcule os valores de pp e de kk. ( 2,5 valores). b) Calcule V[X]V[X]. ( 2,5 valores).
3. Suponha que uma pequena estação de serviço é abastecida com gasolina todos sábados à tarde. O seu volume de vendas , em milhares de litros, é uma variável aleatória X. Considerando que a função densidade de X é: f(X)={6x(1x),x[0,1]0,x[0,1]f(X)=\left\{\begin{array}{ll} 6 x(1-x), & x \in[0,1] \\ 0, & x \notin[0,1] \end{array}\right. a) Determine P(0<X<0,75)P(0<X<0,75) (2,5(2,5 valores )) b) Determine o volume médio de vendas e a sua variância. ( 2,5 valores ))

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Problem 2750

Déterminer suivant le paramètre réel mm, le nombre de solutions du système (S):{2mx+m2yxmx=1m(S):\left\{\begin{array}{l}-2 m x+m^{2} y \\ x-m x=1-m\end{array}\right.

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Problem 2751

Déterminer suivant le paramètre réel mm, le nombre de solutions du système (S):{2mx+m2yxmx=1m(S):\left\{\begin{array}{l}-2 m x+m^{2} y \\ x-m x=1-m\end{array}\right.

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Problem 2752

(1) If x=sec(z),y=tan(z)x=\sec (z), \sqrt{y}=\tan (z), find: d2ydx2\frac{d^{2} y}{d x^{2}} (A) 0 (B) 1 (C) 2 (D) 3

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Problem 2753

poble lell 5. Find the area of the surface generated by revolving 2xx=(y4/4)+1/(8y2),1y2{ }^{2} x^{x}=\left(y^{4} / 4\right)+1 /\left(8 y^{2}\right), 1 \leq y \leq 2, about the xx-axis.

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Problem 2754

Déterminer suivant le paramètre réel mm, le nombre de solutions du système (S):{2mx+m2yxmx=1m(S):\left\{\begin{array}{l}-2 m x+m^{2} y \\ x-m x=1-m\end{array}\right.

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Problem 2755

Qhenstion 1 [16] A sample at 15 hothehotds in T thwane wore surveyod to identify their average water usage per month (it) Kiloitres). The usage per househods were given below \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|} \hline 24 & 32 & 14 & 26 & 15 & 10 & 37 & 16 & 14 & 17 & 19 & 24 & 20 & 19 & 33 \\ \hline \end{tabular} 1 1 Calculiate the sample mean water usage for the sample I E Catculate the median water usage for the sample (2) 1 i f find the first and the second quartite for the sample. (3) 1.3 Ciaturate the sample standard deviation for the is househots. (6) (S)(S)

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Problem 2756

c) Round the following number to the given significant figures 44.27453 i. 3 significant figures. ii. 4 significant figures

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Problem 2757

12. If OA=OB=14 cm,AOB=90\mathrm{OA}=\mathrm{OB}=14 \mathrm{~cm}, \angle \mathrm{AOB}=90^{\circ}, find the area of shaded region 1) 23 cm223 \mathrm{~cm}^{2} 2) 46 cm246 \mathrm{~cm}^{2} 3) 21 cm221 \mathrm{~cm}^{2} 4) 108 cm2108 \mathrm{~cm}^{2}
13. Which of the following is inversely proportion? 1) Number of goods and their cost 2) Wages and hours of work 3) Speed and duration 4) All of these
14. Ratio between 10 months and 1 year 1) 10:110: 1 2) 1:101: 10 3) 5:65: 6 4) 6:56: 5
15. Circle the false statement 1) All radii of a circle are equal length 2) Each diameter of a circle is a chord 3) Two diameters cannot have the same endpoints 4) Every chord of a circle is a diameter

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Problem 2758

(2) Let x1,x2,00,xnx_{1}, x_{2}, \infty 00, x_{n} be a random sample from Γ(ω1Θ)\Gamma\left(\omega_{1} \Theta\right) (a) Find the minimum variance umbiased est (MVVE) of θ2\theta^{2}. (b) Find the MVUE of 1ϵ\frac{1}{\epsilon}.

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Problem 2759

Question 3 【14]
Consider the following cross- tabulation of brand preference for digital cameras and their primary usage (professional or personal): \begin{tabular}{|c|c|c|c|c|} \hline \multirow{2}{*}{ Usage } & \multicolumn{3}{|c|}{ Camera Brand } & Total \\ \cline { 2 - 5 } & Nixon & Canon & Pentax & \\ \hline Professional & 46 & 42 & 64 & 152 \\ \hline Personal & 54 & 60 & 46 & 150 \\ \hline Total & 100 & 102 & 110 & 312 \\ \hline \end{tabular} (a) What is the probability of selecting a professional user? (3) (b) Find the probability that a user prefers the Pentax brand given that their usage is primarily personal. (4) (c) Find the probability of randomly selecting either a professional user or a user who prefers the Nikon brand of digital camers or both. (3) (d) Are the two events primary usage and brand preference mutually exclusive? (2) Justify your answer statistically (e) What is the likelihood that a randomly selected user prefers the Canon trand and is a professional user?

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Problem 2760

Simplify this expression. 5+10÷55+10 \div 5 3 7 10 15

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Problem 2761

1. 822×9\begin{array}{r} 822 \\ \times \quad 9 \\ \hline \\ \hline \end{array}

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Problem 2762

1. Which of the following measures of three angles can be those of a triangle? 1) 40,60,8040^{\circ}, 60^{\circ}, 80^{\circ} 2) 90,60,2090^{\circ}, 60^{\circ}, 20^{\circ} 3) 100,80,50100^{\circ}, 80^{\circ}, 50^{\circ} 4) 40,80,9040^{\circ}, 80^{\circ}, 90^{\circ}
2. The measures of the four angles of a quadrilateral are in the ratio of 12.3:4. What is the measure of the greatest angle of quadrilateral? 1) 144144^{\circ} 2) 135135^{\circ} 3) 125125^{\circ} 4) 150150^{\circ}
3. Difference between two complementary angles is 1010^{\circ}. Calculate the vatues of both angles. 1) 45,4545^{\circ}, 45^{\circ} 2) 40,5040^{\circ}, 50^{\circ} 3) 50,6050^{\circ}, 60^{\circ}
4. What is the next row of numbers? 4) 100,10100^{\circ}, 10^{\circ} \begin{tabular}{|l|l|l|} \hline 48 & 144 & 192 \\ \hline 38 & 114 & 152 \\ \hline 28 & 84 & 112 \\ \hline \end{tabular} 1) 18547218 \quad 54 \quad 72 2) 5818424458 \quad 184 \quad 244 3) 6820427268 \quad 204 \quad 272
5. If 1=135,4=45\angle 1=135^{\circ}, \angle 4=45^{\circ}. Then, find 2\angle 2 and 3\angle 3, respectively 4) 6821429268 \quad 214 \quad 292 1) 145,35145^{\circ}, 35^{\circ} 2) 130,50130^{\circ}, 50 3) 140,40140^{\circ}, 40 4) 45,13545^{\circ}, 135^{\circ}
6. A quadrilateral ABCDA B C D is inscribed in a circle. If ABA B is parallel to CDC D and AC=BDA C=B D, then the quadrilateral must be a 1) parallelogram 2) rhombus 3) trapezium - 4) None of these
7. Which of the following is true if PQ=RS\mathrm{PQ}=\mathrm{RS} ? 1) PQ+QR=RSP Q+Q R=R S 2) PR=QSP R=Q S 3) PQ+QS=RSP Q+Q S=R S 4) PQRS=QRP Q-R S=Q R

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Problem 2763

710×8\begin{array}{r}710 \\ \times \quad 8 \\ \hline \\ \hline\end{array}

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Problem 2764

876×7\begin{array}{r}876 \\ \times \quad 7 \\ \hline\end{array}

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Problem 2765

A property analyst wishes to investigate the relationship between the town council's valuation of residential property in Johannesturg and the market value (current selling price in R 100.000) of properties. A random sample of 13 recent property transactions was examined. \begin{tabular}{|c|c|} \hline Council valuation & Markel value \\ \hline 1659 & 1850 \\ \hline 1920 & 2000 \\ \hline 1900 & 1959 \\ \hline 1200 & 1400 \\ \hline 1000 & 1200 \\ \hline 850 & 1000 \\ \hline 780 & 920 \\ \hline 870 & 990 \\ \hline 915 & 1100 \\ \hline 820 & 978 \\ \hline 1300 & 1700 \\ \hline 1500 & 1900 \\ \hline 1700 & 1850 \\ \hline \end{tabular}
4. 1 Define the independent and the dependent variabies 42 Draw a scatter plot to portrait the relationstip between independent varabies and the dependent variabies interpret the scatter plot (3) 4.3 Find the equation of the regression tine describing the best fir of the relationship 4 A Calculate the coefficient of correlation (4) 45 find the coefficient of determination (2) 4.5 Estimate the market value of properties in fohannesturg that have a councif vartation of 81200 ( in R 100000 ) 47 interpret the meaning of the cosflicient of regression coelticient ( b, ) (2)

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Problem 2766

Question 2 of 10 Which algebraic expression is a product with a factor of 5 ? A. 5(y6)5(y-6) B. 3y+13 y+1 C. 5y75 y-7 D. 2y+5+3-2 y+5+3

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Problem 2767

227×8\begin{array}{r}227 \\ \times \quad 8 \\ \hline\end{array}

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Problem 2768

Kelly has \$25 in her purse and Dante has d dollars in his wallet.
Which algebraic expression represents the total amount that Kelly and Dante hove? A. d-25 B. 25+d25+d C. 25d25-d D. 25 d

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Problem 2769

(1) Diffwentiale fam the first principle (i) x\sqrt{x} bit. m-itiply by x+h+xx+h+x\frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}} x+h+x\sqrt{x+h}+\sqrt{x} (2) Diffenenhiahe withe naspoct to xx (a) y=(x2+4)(x7+8)+x5y=\left(x^{2}+4\right)\left(x^{7}+8\right)+x^{5} (b) y=xx2y=\sqrt{x-x^{2}} (c) y=tnxsinxy=\frac{\operatorname{tn} x}{\sin x}

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Problem 2770

A property analyst wishes to investigate the relationship between the town coundi's valuation of residential property in Johannesburg and the market value (current selling price in R 100.000) of properties. A random sample of 13 recent property transactions was examined. \begin{tabular}{|c|c|} \hline Council valuation & Markel value \\ \hline 1659 & 1850 \\ \hline 1920 & 2000 \\ \hline 1900 & 1959 \\ \hline 1200 & 1400 \\ \hline 1000 & 1200 \\ \hline 850 & 1000 \\ \hline 780 & 920 \\ \hline 870 & 990 \\ \hline 915 & 1100 \\ \hline 820 & 978 \\ \hline 1300 & 1700 \\ \hline 1500 & 1900 \\ \hline 1700 & 1850 \\ \hline \end{tabular}
4. 1 Define the independent and the dependent variabies 4.2 Draw a scatter plot to portrait the relationstip between independent variables and the Gependent variabies. interpret the scatter piot 43 Find the equation of the regression line describing the best fit of the relationship 44 Calculate the coefficient of correlation
4. 5 find the cocflicient of determination A.5 Estimate the market value of properties in fohannestburg that have a counctif variation of R 1200 (in R100\mathbf{R} 100 000) 4 interpret the meaning of the cosflicient of regression coetlicent (8,4)(8,4)

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Problem 2771

at these numbers in order from greatest to least 4 810-\frac{8}{10} 41104 \frac{1}{10}

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Problem 2772

A property analyst wishes to investigate the relationship between the town council's valuation of residential property in Johannesburg and the market value (current selling price in R 100.000) of properties. A random sample of 13 recent property transactions was examined. \begin{tabular}{|c|c|} \hline Council valuation & Markel value \\ \hline 1659 & 1850 \\ \hline 1920 & 2000 \\ \hline 1900 & 1959 \\ \hline 1200 & 1400 \\ \hline 1000 & 1200 \\ \hline 850 & 1000 \\ \hline 780 & 920 \\ \hline 870 & 990 \\ \hline 915 & 1100 \\ \hline 820 & 978 \\ \hline 1300 & 1700 \\ \hline 1500 & 1900 \\ \hline 1700 & 1850 \\ \hline \end{tabular}
4. 1 Define the independent and the dependent variabies. 42 Draw a scatter plot to portrait the relationship between independent varables and the dependent variabies interpret the scatter plot 4.3 Find the equation of the regression line describing the best fir of the relationship
4. Calculate the coefficient of correlation. (4) 45 find the coefficient of determination (a) A. 5 Estimate the market value of properties in fohannestourg that have a council vartation of R 1200 (in R 100000 )
4. 7 interpret the meaning of the conflicuent of regressian coeltiaent ( b3b_{3} ) (2)

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Problem 2773

2. Nesta questāo π:2x3yz+5=0,r:(x,y,z)=(2,1,4)+t(2,3,4),tRA(1,2,3)\pi: 2 x-3 y-z+5=0, r:(x, y, z)=(2,1,4)+t(2,-3,4), t \in R \in A(-1,2,3) representam um plano uma reta e um ponto, respectivamente. (a) (Valor: 1,0) Encontre uma equação de um plano perpendicular a rr que passa por AA : (b) (Valor: 1,5) A reta rr e o plano π\pi sâo transversais? Em caso afirmativo, encontre o ponto de interseção entre esses objetos. Em caso negativo, determine a distância entre estes dois objetos.
Faça upload de 1 arquivo aceito: PDF ou image. O tamanho máximo é de 10 MB .

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Problem 2774

Part 1 of 2
Plot, compare, and order the square root, cube root, and expression. (5242),13,(12)2+36\sqrt{\left(5^{2}-4^{2}\right)}, \sqrt[3]{-1},\left(\frac{1}{2}\right)^{2}+\sqrt{36}

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Problem 2775

The diagram below shows a regular octagon inscribed in a circle of radius r cmr \mathrm{~cm} centre O . A and B are 2 vertices of the octagon on the circumference of the circle. 7.2.1 Determine the perimeter of the octagon in terms of rr. 7.2.2 Show that the area of the octagon is 22r2 cm22 \sqrt{2} \cdot r^{2} \mathrm{~cm}^{2}

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Problem 2776

 fil a,b(16(a+b))1=[3133]ab=[5162], bas [2031]\begin{array}{l}\text { fil } a, b \\ \left(\frac{1}{6}(a+b)\right)^{-1}=\left[\begin{array}{ll}3 & 1 \\ 3 & 3\end{array}\right] \\ a b=\left[\begin{array}{cc}5 & -1 \\ -6 & 2\end{array}\right], \text { bas }\left[\begin{array}{cc}2 & 0 \\ -3 & 1\end{array}\right]\end{array}

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Problem 2777

8x+8x+8x4x+4x=12\frac{8^{x}+8^{x}+8^{x}}{4^{x}+4^{x}}=12

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Problem 2778

What is the total amount of money being deducted from the account in the table of payments shown below? \begin{tabular}{|l|r|} \hline \multicolumn{1}{|c|}{ Payments } & \multicolumn{1}{|c|}{ Amount } \\ \hline Outgoing ACH for. Auto Loan & $210.00\$ 210.00 \\ \hline Outgoing Phone Transfer & $33.00\$ 33.00 \\ \hline Outgoing App Transfer & $195.48\$ 195.48 \\ \hline E-pay Electricity Bill & $84.00\$ 84.00 \\ \hline \end{tabular} θ[?]\theta[?]

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Problem 2779

11. What is the slope of the line that runs between the points (2,1)(-2,1) and (3,6)(3,6) ? Assign your variables and use the slope formula. x1=y1=x2=y2=m=y2y1x2x1==\begin{array}{l} x_{1}= \\ y_{1}= \\ x_{2}= \\ y_{2}= \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\square= \end{array}

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Problem 2780

4. (Valor: 2,5) Incontre a equaçáo da hipérbole de excentricidade 2 e focos coincidentes com os focos da elipse x225+y29=1\frac{x^{2}}{25}+\frac{y^{2}}{9}=1.
Faça upload de 1 arquivo aceito: PDF ou image. O tamanho maximo e de 10 MB . I. Adtcionar arquivo
Voltar Enviar

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Problem 2781

4. (Valor: 2,5 ) Encontre a equaçao da hipérbole de excentricidade 2 e focos coincidentes com os focos da ellipse x225+y29=1\frac{x^{2}}{25}+\frac{y^{2}}{9}=1.
Faca upload de 1 arquivo aceito: PDF ou image. o tamanho maximo e de 10 MB Adiclonar arquivo

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Problem 2782

Your bank charges a \$35 fee on debit card transactions without enough funds. Which of the following remedies will help you avoid this fee? A. Keep a balance above a certain threshold set by the bank. B. Get your paychecks through direct deposit. C. Always ensure that your account has sufficient funds when paying using checks. D. Have the bank decline your card when you can't cover a transaction.

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Problem 2783

If a customer is going to leave their money in a bank account for a few years to earn interest, which type of account should they open? savings checking

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Problem 2784

x223x5=0x^{2}-\frac{2}{3} x-5=0

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Problem 2785

11. Lucy examined the table of values to determine which points to add to ensure the relations remain a function. Select all the points to be added. A. (2,0)(2,0) B. (0,2)(0,2) C. (4,0)(4,0) D. (1,4)(1,4) E. (5,9)(5,9) \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-1 & 2 \\ \hline 0 & 3 \\ \hline 1 & 4 \\ \hline 2 & 5 \\ \hline 3 & 6 \\ \hline?? & ?? \\ \hline \end{tabular}

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Problem 2786

x4x2=5a0\frac{x-4}{\sqrt{x}-2}=5 a^{0}

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Problem 2787

What is the balance after 2 years in a savings account with an initial investment of $800\$ 800 and a 3.5\% annual compound interest rate?

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Problem 2788

21.12 is what percent of 82.5 ?

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Problem 2789

x32=125x^{\frac{3}{2}}=125

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Problem 2790

Suppose a charity recievet a danation of 22. it villion. If this represents 278 d of the charitys doarted funds, what is totol amom Rits denated funds?

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Problem 2791

The amount of water in the cooler ww dropped by 37 cups during the day at a work site, ending at 15 cups. Write an equation to represent this situation. Then, solve the equation for ww to determine the amount of water in the cooler at the beginning of the day.

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Problem 2792

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $810\$ 810 and the annual interest rate is 2.3%2.3 \% ?

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Problem 2793

35323^{-5} \cdot 3^{2}

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Problem 2794

If you borrow $700\$ 700 for 4 years at an annual interest rate of 8%8 \%, how much will you pay altogether?

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Problem 2795

If you borrow $300\$ 300 for 14 years at an annual interest rate of 4%4 \%, how much will you pay altogether?

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Problem 2796

If you borrow $900\$ 900 for 4 years at an annual interest rate of 5%5 \%, how much will you pay altogether?

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Problem 2797

If you borrow $400\$ 400 for 3 years at an annual interest rate of 4%4 \%, how much will you pay altogether?

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Problem 2798

1&1 \& \quad For the function f(x)=4x12x+5f(x)=\frac{4 x-12}{x+5}, complete the following parts. (a) Find f(x)f(x) for x=1x=-1 and dd, if possible. (b) Find the domain of ff. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. \square A. f(1)=5f(-1)=-5 (Simplify your answer.) B. The value of f(1)f(-1) is undefined.

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Problem 2799

Use the graph of the function ff to estimate its domain and range. Evaluate f(0)f(0).
Find the domain of ff. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is \square (Type your answer in interval notation.) B. The domain is undefined.

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Problem 2800

Add. 34.231+45.23034.231+45.230 38.754 79.434 79.461 79.462

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