Solve

Problem 21501

Find the intervals where production of $x$ units of wire breaks even, given $C=55x+450$ and $R=80x$ .

See Solution

Problem 21502

Solve the equation step-by-step and simplify:
$3(x+3)+x = 2x+15$
Find $x$ .

See Solution

Problem 21503

Solve the equation: $\frac{1}{2} x+\frac{3}{7}=\frac{2}{3}+\frac{8}{21} x$

See Solution

Problem 21504

Solve the inequality and graph the solution: $|x - \frac{7}{2}| < 7$

See Solution

Problem 21505

Leonard has 25 coins (quarters and nickels) worth \$1.65. Find the number of each type of coin.

See Solution

Problem 21506

If 18 adults volunteer, how many students can join the trip based on a 2:9 adult to student ratio? Use a tape diagram and ratio table.

See Solution

Problem 21507

If 18 adults volunteer, how many students can attend the trip based on a 2:9 adult to student ratio? Use diagrams and tables.

See Solution

Problem 21508

A company awarded \$3000 in bonuses of \$250 or \$750. If at least one of each was given, how many \$250 bonuses could there be?

See Solution

Problem 21509

A company awarded bonuses totaling \$3000 in \$250 or \$750 amounts. If both types were given, how many \$250 bonuses could there be?

See Solution

Problem 21510

A psychologist models recall after $t$ months with $f(t)=90-22 \ln (t+1)$ . What is the recall after 2 months?

See Solution

Problem 21511

Solve $-10 \leq \frac{9x-4}{4} < 8$ and express the solution in interval notation.

See Solution

Problem 21512

Find the pH of apple juice with a hydrogen ion concentration of [H⁺]=0.00042. Round to the nearest hundredth.

See Solution

Problem 21513

Antimony has isotopes ${ }^{121} \mathrm{Sb}$ (120.9038 u) and ${ }^{123} \mathrm{Sb}$ (122.9042 u). Find their percent abundances.

See Solution

Problem 21514

Find the frequency of note $F$ , 4 half steps below $A_{3}$ (220 Hz), using $F(x)=F_{0}(1.059463)^{x}$ . Round to nearest whole number.

See Solution

Problem 21515

Bacteria quadruple each minute. If there are 1 at 9:00 a.m., how many are there at 9:13 a.m.? Calculate using $N = 1 \cdot 4^{t}$ .

See Solution

Problem 21516

The price of milk rises by $1\%$ yearly. If it costs \$3.5 in 2016, what will it cost in 2018?

See Solution

Problem 21517

Find the population on January 1, 2028, using the model $f(x)=18,791(1.023)^{x}$ where $x=16$ .

See Solution

Problem 21518

What is the earthquake magnitude for intensity $I = 3 \times 10^{7}$ using $R=\log \left(\frac{I}{1}\right)$ ? Round to the nearest hundredth.

See Solution

Problem 21519

What is the result of dividing 213 by 20? Calculate $213 \div 20$ .

See Solution

Problem 21520

El equipo Argonautas ganó 3/4 en casa y 2/3 fuera, con 40 victorias más que derrotas. ¿Cuál es su récord final?

See Solution

Problem 21521

A child is 20 inches at birth. Use $f(x)=20+47 \log (x+2)$ to find age for $70\%$ adult height. Round to nearest year.

See Solution

Problem 21522

Find the 4-digit ATM code for Mr. Nolan using the prime factors of 84 listed in order.

See Solution

Problem 21523

A child is 20 inches at birth. Use $f(x)=20+47 \log (x+2)$ to find height percentage at age 3. Round to nearest percent.

See Solution

Problem 21524

Calculate $130 - 20$ .

See Solution

Problem 21525

If the credit card balance grows exponentially as $f(x)=700(1+0.13)^{x}$ , what is the balance after 40.5 months?

See Solution

Problem 21526

A child is 20 inches long at birth. Find the percent of adult height at age 7 using $f(x)=20+47 \log (x+2)$ .

See Solution

Problem 21527

A company's net income of \ $400,000 grows by 13% yearly. When will it reach \$3,600,000? Use$ f(x)=400,000(1+0.13)^{x}$.

See Solution

Problem 21528

Calculate $5,621 \div 20$ .

See Solution

Problem 21529

Find the initial total sales of a spy novel modeled by $f(x)=18,245(1.021)^{x}$ when $x=0$ .

See Solution

Problem 21530

Solve $4^{\lg 2}=\left(\frac{1}{9 x}\right)^{\lg 4}$ without a calculator.

See Solution

Problem 21531

Find the intensity, $I$ , of an earthquake with a magnitude of 6.7 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

See Solution

Problem 21532

Find the percentage of information retained after 3 months using the function $f(t)=89-22 \ln (t+1)$ for $1 \leq t \leq 12$ .

See Solution

Problem 21533

A baby is 20 inches at birth. Find the percentage of adult height at age 6 using $f(x)=20+47 \log (x+2)$ .

See Solution

Problem 21534

A baby is 20 inches long at birth. Use the function $f(x)=20+47 \log (x+2)$ to find when she reaches $90\%$ of her adult height.

See Solution

Problem 21535

Find the total sales of a strategy game on January 1, 2030, using $f(x)=10,333(1.046)^{x}$ with $x=17$ .

See Solution

Problem 21536

Calculate the GPA from grades A, C, B, A, D with credit hours 4, 4, 3, 3, 2. Is the GPA ≥ 3.00 for the dean's list?

See Solution

Problem 21537

Find the frequency of note A# (1 half step above A3 at 220 Hz) using the formula $F(x)=F_{0}(1.059463)^{x}$ . Round to the nearest whole number.

See Solution

Problem 21538

Calculate the final score for a student with midterm 70, project 93, homework 87, final exam 74 using weights: midterm $5\%$ , project $20\%$ , homework $50\%$ , final $25\%$ . What letter grade did he earn?

See Solution

Problem 21539

What is the balance after 61.5 months if it grows exponentially as $f(x)=800(1+0.122)^{x}$ ? Round to the nearest cent.

See Solution

Problem 21540

Find the intensity $I$ of an earthquake with a magnitude of 4.5 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

See Solution

Problem 21541

Find the fraction of an atom's volume occupied by its nucleus, given diameters of 3.00 \AA and 7.50 \times 10^{-5} \AA.

See Solution

Problem 21542

Milk's price rises by $2\%$ yearly. If it was $\$3.75$ in 2014, what will it cost in 2019?

See Solution

Problem 21543

Plot points $(2,5)$ and $(7,5)$ . Find coordinates of the other vertices of a parallelogram with area 10 square units.

See Solution

Problem 21544

Convert $0.386 \mathrm{~g}$ to milligrams using the metric system.

See Solution

Problem 21545

If your credit card balance grows exponentially as $f(x)=700(1+0.13)^{x}$ , what is the balance after 46.9 months? Round to the nearest cent.

See Solution

Problem 21546

Calculate the ordinary annuity value for \$500, quarterly deposits, 8\%, over 6 years. Round to the nearest cent.

See Solution

Problem 21547

What was the initial population of a Texas town modeled by $f(x)=10,906(1.032)^{x}$ on January 1, 2013?

See Solution

Problem 21548

A company's income of \ $200,000 in 2020 grows by 10% yearly. When will it reach \$800,000? Use$ f(x)=200,000(1+0.1)^{x}$.

See Solution

Problem 21549

Calculate the product: $0.2 \times 0.8=$

See Solution

Problem 21550

Calculate $7,854 \div 21$ .

See Solution

Problem 21551

Solve the equations: $2^{x+1}-3^{y+1}=4$ and $2^{2(x+1)}-3^{2(y+1)}=64$ to three significant figures.

See Solution

Problem 21552

Round the number $5430$ to the closest thousand.

See Solution

Problem 21553

Calculate $0.085631 \times 1.32$ and round the result to the correct number of significant figures.

See Solution

Problem 21554

Solve: $\frac{5}{8} \div \frac{3}{4}$

See Solution

Problem 21555

Solve: $26.04 \div -6.2$

See Solution

Problem 21556

Calculate the monthly payment $\mathrm{R}$ for a sinking fund to reach \$5,000 at a 7% annual interest rate over 1 year.

See Solution

Problem 21557

Find the density of a metal piece with mass 30.4571 g and water volume change from $6.45 \mathrm{~cm}^{3}$ to $9.90 \mathrm{~cm}^{3}$ .

See Solution

Problem 21558

Convert 23.2 kilometers to centimeters using the conversion factor: 1 km = 100,000 cm.

See Solution

Problem 21559

A tree grew 2.62 feet in 4 years. What is its annual growth rate in feet per year?

See Solution

Problem 21560

How many distinct arrangements can be made with the letters in "ROBBERS"?

See Solution

Problem 21561

Matt saves \$65 monthly at 5.5% annual interest. How much will he have in 30 months? Round to the nearest cent.

See Solution

Problem 21562

Find the intercepts of the line given by $y-3=5(x-2)$ . $y$ -intercept: $(\quad, \quad)$ , $x$ -intercept: $(, \quad)$ .

See Solution

Problem 21563

Julio saves \$1,350/year from age 21-35; Max saves \$2,700/year from age 41-65. How much do they have at age 65?

See Solution

Problem 21564

How many unique arrangements can be made from the letters in "PROGRAMMING"? There are $\square$ distinct permutations.

See Solution

Problem 21565

Find the intercepts of the line given by $y=-9x-14$ . $x$ -intercept: $(\quad, \quad)$ , $y$ -intercept:

See Solution

Problem 21566

How many ways can six city commissioners be selected from fourteen candidates? Use the combination formula: $\binom{14}{6}$ .

See Solution

Problem 21567

Tyler took 36 pictures and puts 6 on each page. How many pages does he need? Calculate: $36 \div 6$ .

See Solution

Problem 21568

Find the number of distinct arrangements of the digits in $8,663,333$ .

See Solution

Problem 21569

Find $\cos (\theta)$ given $\sin (\theta)<0$ and $\cot (\theta)=\frac{9}{2}$ . Provide an exact answer.

See Solution

Problem 21570

Find the number of committees of 2 teachers and 3 students from 6 teachers and 41 students. Answer: 3003.

See Solution

Problem 21571

Hank cut blocks that are $2 \frac{3}{8}$ feet long. What is the total length of 8 blocks laid end-to-end?

See Solution

Problem 21572

Hank cut blocks of wood $2 \frac{3}{8}$ feet long. What is the total length of 8 blocks laid end-to-end?

See Solution

Problem 21573

Find the coordinates of point $B$ if the midpoint $M(0,-2)$ and point $A(8,-8)$ are given.

See Solution

Problem 21574

Find the coordinates of point $B$ if the midpoint $M(2,-5)$ and point $A(3,-7)$ are given.

See Solution

Problem 21575

Find the coordinates of point $B$ if the midpoint $M(-3,1)$ and point $A(1,8)$ are given.

See Solution

Problem 21576

Find $\tan (\theta)$ given $\sin (\theta)<0$ and $\sec (\theta)=\frac{\sqrt{35}}{4}$ . Provide the exact answer.

See Solution

Problem 21577

How many ways can you choose 5 books from 18 available books for your vacation? Use the formula for combinations: $\binom{18}{5}$ .

See Solution

Problem 21578

Mac bought 48 lbs of hamburger, using bags that hold $2 \frac{2}{3}$ lbs each. How many bags did he use?

See Solution

Problem 21579

Doug, Dick y Dean son trillizos con un promedio de clase de $74\%$ . Al irse, el promedio sube a $75\%$ . Sus puntajes están en la proporción $6:5:3$ . ¿Cuáles son sus puntajes?

See Solution

Problem 21580

Find the coordinates of point $B$ if the midpoint $M(-2,-2)$ and point $A(-3,-6)$ are given.

See Solution

Problem 21581

Solve $\cos \left(\frac{x}{2}\right)=-\frac{\sqrt{3}}{2}$ for $x$ in $[0,2\pi)$ . Provide exact radian solutions.

See Solution

Problem 21582

How many ways can you form a committee of 3 teachers and 4 students from 9 teachers and 43 students?

See Solution

Problem 21583

Find the inverse function $f^{-1}$ of $f(x)=\left(x^{4}+4\right)^{-1}$ for $x \in (-\infty, 0]$ .

See Solution

Problem 21584

Solve $\cos \left(\frac{x}{2}\right)=\frac{1}{2}$ for $x$ in $[0,2 \pi)$ , and give the answer in exact radians.

See Solution

Problem 21585

Calculate the density of a liquid weighing $5.1754 \mathrm{~g} \pm 0.0002 \mathrm{~g}$ from a $10.00 \mathrm{~mL} \pm 0.02 \mathrm{~mL}$ pipet.

See Solution

Problem 21586

Calculate the total mass of a beaker (35.4478 g ± 0.0002 g) and two metals (3.1162 g ± 0.0002 g, 4.6617 g ± 0.0002 g) with error.

See Solution

Problem 21587

Calculate the mass of water added to a beaker that weighed $26.2411 \mathrm{~g} \pm 0.0002 \mathrm{~g}$ and now weighs $33.1932 \mathrm{~g} \pm 0.0002 \mathrm{~g}$ .

See Solution

Problem 21588

Carmike Cinema combos: Small: 4.5 cups for \$6.50, Medium: 5.5 cups for \$8.00, Large: 6.5 cups for \$9.50. Find unit rate.

See Solution

Problem 21589

Find $Q A$ if $M Q=7.3$ , $A M=8.5$ , and $Q$ is between $A$ and $M$ . A. 5.8 B. 1.2 C. 7.3 D. 14.6

See Solution

Problem 21590

Find $x$ if $K$ is between $H$ and $J$ , $H K=2x-5$ , $K J=3x+4$ , and $H J=24$ . Choices: A. 9 B. 5 C. 19 D. 3

See Solution

Problem 21591

Find $K J$ if $K$ is the midpoint of $\overline{H J}$ , $H K=x+6$ , and $H J=4 x-6$ . A. 15 B. 9 C. 4 D. 10

See Solution

Problem 21592

See Solution

Problem 21593

Convert $0.0001 \mathrm{dg}$ to $\mathrm{pg}$ .

See Solution

Problem 21594

Convert $9.87 \times 10^{-30} \mathrm{ml}$ to $\mathrm{Tl}$ .

See Solution

Problem 21595

Find the measure of $m \angle R S T$ given $m \angle R S P=40^{\circ}$ and $m \angle T S P=10^{\circ}$ . Choices: A. $100^{\circ}$ B. $50^{\circ}$ C. $30^{\circ}$ D. $10^{\circ}$ .

See Solution

Problem 21596

Find the inverse function $f^{-1}$ for $f(x)=\left(x^{8}+1\right)^{-1}, \quad(-\infty, 0]$ .

See Solution

Problem 21597

Find $m \angle R S T$ if $m \angle R S P=40^{\circ}$ and $m \angle T S P=10^{\circ}$ . Options: A. $100^{\circ}$ B. $50^{\circ}$ C. $30^{\circ}$ D. $10^{\circ}$

See Solution

Problem 21598

Find the variance of the pumpkin weights: 12, 18, 15, 13, 17. Round to one decimal place.

See Solution

Problem 21599

Find the value of $f(x)=5 \sin^{-1}(\sin(x)) + 3 \cos^{-1}(\sin(4x))$ at $x=\frac{\pi}{3}$ .

See Solution

Problem 21600

Find the value of $\sin ^{-1}\left[\sin \left(-\frac{7 \pi}{6}\right)\right]$ without a calculator.

See Solution

1 ...213 214 215 216 217 218 219 ...307

Solve

Problem 21501

Find the intervals where production of xxx units of wire breaks even, given C=55x+450C=55x+450C=55x+450 and R=80xR=80xR=80x.

Problem 21502

Solve the equation step-by-step and simplify: 3(x+3)+x=2x+15 3(x+3)+x = 2x+15 3(x+3)+x=2x+15 Find xxx.

Problem 21503

Solve the equation: 12x+37=23+821x\frac{1}{2} x+\frac{3}{7}=\frac{2}{3}+\frac{8}{21} x21​x+73​=32​+218​x

Problem 21504

Solve the inequality and graph the solution: ∣x−72∣<7|x - \frac{7}{2}| < 7∣x−27​∣<7

Problem 21505

Leonard has 25 coins (quarters and nickels) worth \$1.65. Find the number of each type of coin.

Problem 21506

If 18 adults volunteer, how many students can join the trip based on a 2:9 adult to student ratio? Use a tape diagram and ratio table.

Problem 21507

If 18 adults volunteer, how many students can attend the trip based on a 2:9 adult to student ratio? Use diagrams and tables.

Problem 21508

A company awarded \$3000 in bonuses of \$250 or \$750. If at least one of each was given, how many \$250 bonuses could there be?

Problem 21509

A company awarded bonuses totaling \$3000 in \$250 or \$750 amounts. If both types were given, how many \$250 bonuses could there be?

Problem 21510

A psychologist models recall after ttt months with f(t)=90−22ln⁡(t+1)f(t)=90-22 \ln (t+1)f(t)=90−22ln(t+1). What is the recall after 2 months?

Problem 21511

Solve −10≤9x−44<8-10 \leq \frac{9x-4}{4} < 8−10≤49x−4​<8 and express the solution in interval notation.

Problem 21512

Find the pH of apple juice with a hydrogen ion concentration of [H⁺]=0.00042. Round to the nearest hundredth.

Problem 21513

Antimony has isotopes 121Sb{ }^{121} \mathrm{Sb}121Sb (120.9038 u) and 123Sb{ }^{123} \mathrm{Sb}123Sb (122.9042 u). Find their percent abundances.

Problem 21514

Find the frequency of note FFF, 4 half steps below A3A_{3}A3​ (220 Hz), using F(x)=F0(1.059463)xF(x)=F_{0}(1.059463)^{x}F(x)=F0​(1.059463)x. Round to nearest whole number.

Problem 21515

Bacteria quadruple each minute. If there are 1 at 9:00 a.m., how many are there at 9:13 a.m.? Calculate using N=1⋅4tN = 1 \cdot 4^{t}N=1⋅4t.

Problem 21516

The price of milk rises by 1%1\%1% yearly. If it costs \$3.5 in 2016, what will it cost in 2018?

Problem 21517

Find the population on January 1, 2028, using the model f(x)=18,791(1.023)xf(x)=18,791(1.023)^{x}f(x)=18,791(1.023)x where x=16x=16x=16.

Problem 21518

What is the earthquake magnitude for intensity I=3×107I = 3 \times 10^{7}I=3×107 using R=log⁡(I1)R=\log \left(\frac{I}{1}\right)R=log(1I​)? Round to the nearest hundredth.

Problem 21519

What is the result of dividing 213 by 20? Calculate 213÷20213 \div 20213÷20.

Problem 21520

El equipo Argonautas ganó 3/4 en casa y 2/3 fuera, con 40 victorias más que derrotas. ¿Cuál es su récord final?

Problem 21521

A child is 20 inches at birth. Use f(x)=20+47log⁡(x+2)f(x)=20+47 \log (x+2)f(x)=20+47log(x+2) to find age for 70%70\%70% adult height. Round to nearest year.

Problem 21522

Find the 4-digit ATM code for Mr. Nolan using the prime factors of 84 listed in order.

Problem 21523

A child is 20 inches at birth. Use f(x)=20+47log⁡(x+2)f(x)=20+47 \log (x+2)f(x)=20+47log(x+2) to find height percentage at age 3. Round to nearest percent.

Problem 21524

Calculate 130−20130 - 20130−20.

Problem 21525

If the credit card balance grows exponentially as f(x)=700(1+0.13)xf(x)=700(1+0.13)^{x}f(x)=700(1+0.13)x, what is the balance after 40.5 months?

Problem 21526

A child is 20 inches long at birth. Find the percent of adult height at age 7 using f(x)=20+47log⁡(x+2)f(x)=20+47 \log (x+2)f(x)=20+47log(x+2).

Problem 21527

A company's net income of \400,000growsby13400,000 grows by 13% yearly. When will it reach \$3,600,000? Use 400,000growsby13f(x)=400,000(1+0.13)^{x}$.

Problem 21528

Calculate 5,621÷205,621 \div 205,621÷20.

Problem 21529

Find the initial total sales of a spy novel modeled by f(x)=18,245(1.021)xf(x)=18,245(1.021)^{x}f(x)=18,245(1.021)x when x=0x=0x=0.

Problem 21530

Solve 4lg⁡2=(19x)lg⁡44^{\lg 2}=\left(\frac{1}{9 x}\right)^{\lg 4}4lg2=(9x1​)lg4 without a calculator.

Problem 21531

Find the intensity, III, of an earthquake with a magnitude of 6.7 using R=log⁡(I1)R=\log \left(\frac{I}{1}\right)R=log(1I​). Round to the nearest whole number.

Problem 21532

Find the percentage of information retained after 3 months using the function f(t)=89−22ln⁡(t+1)f(t)=89-22 \ln (t+1)f(t)=89−22ln(t+1) for 1≤t≤121 \leq t \leq 121≤t≤12.

Problem 21533

A baby is 20 inches at birth. Find the percentage of adult height at age 6 using f(x)=20+47log⁡(x+2)f(x)=20+47 \log (x+2)f(x)=20+47log(x+2).

Problem 21534

A baby is 20 inches long at birth. Use the function f(x)=20+47log⁡(x+2)f(x)=20+47 \log (x+2)f(x)=20+47log(x+2) to find when she reaches 90%90\%90% of her adult height.

Problem 21535

Find the total sales of a strategy game on January 1, 2030, using f(x)=10,333(1.046)xf(x)=10,333(1.046)^{x}f(x)=10,333(1.046)x with x=17x=17x=17.

Problem 21536

Calculate the GPA from grades A, C, B, A, D with credit hours 4, 4, 3, 3, 2. Is the GPA ≥ 3.00 for the dean's list?

Problem 21537

Find the frequency of note A# (1 half step above A3 at 220 Hz) using the formula F(x)=F0(1.059463)xF(x)=F_{0}(1.059463)^{x}F(x)=F0​(1.059463)x. Round to the nearest whole number.

Problem 21538

Calculate the final score for a student with midterm 70, project 93, homework 87, final exam 74 using weights: midterm 5%5\%5%, project 20%20\%20%, homework 50%50\%50%, final 25%25\%25%. What letter grade did he earn?

Problem 21539

What is the balance after 61.5 months if it grows exponentially as f(x)=800(1+0.122)xf(x)=800(1+0.122)^{x}f(x)=800(1+0.122)x? Round to the nearest cent.

Problem 21540

Find the intervals where production of $x$ units of wire breaks even, given $C=55x+450$ and $R=80x$ .

Solve the equation step-by-step and simplify:
$3(x+3)+x = 2x+15$
Find $x$ .

Solve the equation: $\frac{1}{2} x+\frac{3}{7}=\frac{2}{3}+\frac{8}{21} x$

Solve the inequality and graph the solution: $|x - \frac{7}{2}| < 7$

A psychologist models recall after $t$ months with $f(t)=90-22 \ln (t+1)$ . What is the recall after 2 months?

Solve $-10 \leq \frac{9x-4}{4} < 8$ and express the solution in interval notation.

Antimony has isotopes ${ }^{121} \mathrm{Sb}$ (120.9038 u) and ${ }^{123} \mathrm{Sb}$ (122.9042 u). Find their percent abundances.

Find the frequency of note $F$ , 4 half steps below $A_{3}$ (220 Hz), using $F(x)=F_{0}(1.059463)^{x}$ . Round to nearest whole number.

Bacteria quadruple each minute. If there are 1 at 9:00 a.m., how many are there at 9:13 a.m.? Calculate using $N = 1 \cdot 4^{t}$ .

The price of milk rises by $1\%$ yearly. If it costs \$3.5 in 2016, what will it cost in 2018?

Find the population on January 1, 2028, using the model $f(x)=18,791(1.023)^{x}$ where $x=16$ .

What is the earthquake magnitude for intensity $I = 3 \times 10^{7}$ using $R=\log \left(\frac{I}{1}\right)$ ? Round to the nearest hundredth.

What is the result of dividing 213 by 20? Calculate $213 \div 20$ .

A child is 20 inches at birth. Use $f(x)=20+47 \log (x+2)$ to find age for $70\%$ adult height. Round to nearest year.

A child is 20 inches at birth. Use $f(x)=20+47 \log (x+2)$ to find height percentage at age 3. Round to nearest percent.

Calculate $130 - 20$ .

If the credit card balance grows exponentially as $f(x)=700(1+0.13)^{x}$ , what is the balance after 40.5 months?

A child is 20 inches long at birth. Find the percent of adult height at age 7 using $f(x)=20+47 \log (x+2)$ .

A company's net income of \ $400,000 grows by 13% yearly. When will it reach \$3,600,000? Use$ f(x)=400,000(1+0.13)^{x}$.

Calculate $5,621 \div 20$ .

Find the initial total sales of a spy novel modeled by $f(x)=18,245(1.021)^{x}$ when $x=0$ .

Solve $4^{\lg 2}=\left(\frac{1}{9 x}\right)^{\lg 4}$ without a calculator.

Find the intensity, $I$ , of an earthquake with a magnitude of 6.7 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

Find the percentage of information retained after 3 months using the function $f(t)=89-22 \ln (t+1)$ for $1 \leq t \leq 12$ .

A baby is 20 inches at birth. Find the percentage of adult height at age 6 using $f(x)=20+47 \log (x+2)$ .

A baby is 20 inches long at birth. Use the function $f(x)=20+47 \log (x+2)$ to find when she reaches $90\%$ of her adult height.

Find the total sales of a strategy game on January 1, 2030, using $f(x)=10,333(1.046)^{x}$ with $x=17$ .

Find the frequency of note A# (1 half step above A3 at 220 Hz) using the formula $F(x)=F_{0}(1.059463)^{x}$ . Round to the nearest whole number.

Calculate the final score for a student with midterm 70, project 93, homework 87, final exam 74 using weights: midterm $5\%$ , project $20\%$ , homework $50\%$ , final $25\%$ . What letter grade did he earn?

What is the balance after 61.5 months if it grows exponentially as $f(x)=800(1+0.122)^{x}$ ? Round to the nearest cent.

Find the intensity $I$ of an earthquake with a magnitude of 4.5 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

Milk's price rises by $2\%$ yearly. If it was $\$3.75$ in 2014, what will it cost in 2019?

Plot points $(2,5)$ and $(7,5)$ . Find coordinates of the other vertices of a parallelogram with area 10 square units.

Convert $0.386 \mathrm{~g}$ to milligrams using the metric system.

If your credit card balance grows exponentially as $f(x)=700(1+0.13)^{x}$ , what is the balance after 46.9 months? Round to the nearest cent.

What was the initial population of a Texas town modeled by $f(x)=10,906(1.032)^{x}$ on January 1, 2013?

A company's income of \ $200,000 in 2020 grows by 10% yearly. When will it reach \$800,000? Use$ f(x)=200,000(1+0.1)^{x}$.

Calculate the product: $0.2 \times 0.8=$

Calculate $7,854 \div 21$ .

Solve the equations: $2^{x+1}-3^{y+1}=4$ and $2^{2(x+1)}-3^{2(y+1)}=64$ to three significant figures.

Round the number $5430$ to the closest thousand.

Calculate $0.085631 \times 1.32$ and round the result to the correct number of significant figures.

Solve: $\frac{5}{8} \div \frac{3}{4}$

Solve: $26.04 \div -6.2$

Calculate the monthly payment $\mathrm{R}$ for a sinking fund to reach \$5,000 at a 7% annual interest rate over 1 year.

Find the density of a metal piece with mass 30.4571 g and water volume change from $6.45 \mathrm{~cm}^{3}$ to $9.90 \mathrm{~cm}^{3}$ .

Find the intercepts of the line given by $y-3=5(x-2)$ . $y$ -intercept: $(\quad, \quad)$ , $x$ -intercept: $(, \quad)$ .

How many unique arrangements can be made from the letters in "PROGRAMMING"? There are $\square$ distinct permutations.

Find the intercepts of the line given by $y=-9x-14$ . $x$ -intercept: $(\quad, \quad)$ , $y$ -intercept:

How many ways can six city commissioners be selected from fourteen candidates? Use the combination formula: $\binom{14}{6}$ .

Tyler took 36 pictures and puts 6 on each page. How many pages does he need? Calculate: $36 \div 6$ .

Find the number of distinct arrangements of the digits in $8,663,333$ .

Find $\cos (\theta)$ given $\sin (\theta)<0$ and $\cot (\theta)=\frac{9}{2}$ . Provide an exact answer.

Hank cut blocks that are $2 \frac{3}{8}$ feet long. What is the total length of 8 blocks laid end-to-end?

Hank cut blocks of wood $2 \frac{3}{8}$ feet long. What is the total length of 8 blocks laid end-to-end?

Find the coordinates of point $B$ if the midpoint $M(0,-2)$ and point $A(8,-8)$ are given.

Find the coordinates of point $B$ if the midpoint $M(2,-5)$ and point $A(3,-7)$ are given.