Finance

Problem 101

Rafael took a taxi, paid $46\$ 46 and gave a 15%15\% tip. (a) Create a proportion to find the tip amount xx. (b) Use the proportion to find the tip amount without rounding. Amount of tip: $x\$ x

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Problem 102

Compute the tax owed by a married couple with $226,000\$ 226,000 taxable income and a $6,000\$ 6,000 tax credit, using the 2021 marginal tax rates.

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Problem 103

Find the range of the cost function C=98+0.12nC = 98 + 0.12n for newspaper printing. Express the range as CyC \geq y and the domain as nxn \geq x.

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Problem 104

Find the monthly payment PMTPMT for a loan with P=$25,823P=\$25,823, n=80n=80, and i=0.023i=0.023. (Round PMTPMT to two decimal places.)

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Problem 105

Find the amount owed on a $5500\$5500 loan at 3%3\% annual interest with no payments, after 1 year and 2 years.

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Problem 106

Calculate the interest, II, paid on a $5,250.00\$5,250.00 loan with a 3.75% annual interest rate over 20 days.

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Problem 107

Determine if the percent change between 231.2and231.2 and 236.4 is an increase or decrease, then find the rounded percent.

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Problem 108

Find the original principal for an account earning 2.4% interest compounded continuously, where the account earns 806.07ininterestover4years.Usethemodel806.07 in interest over 4 years. Use the model A=P e^{r t}andsubstitute and substitute P+806.07for for A$ to find the original principal, rounded to the nearest dollar.

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Problem 109

Rewrite the table of worldwide box office (in billions $) for the movie industry into ordered pairs (year, box office).
{(1999,24.6),(2001,25.9),(2003,28.2),(2005,29.8),(2007,31.5)}\{(1999, 24.6), (2001, 25.9), (2003, 28.2), (2005, 29.8), (2007, 31.5)\}

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Problem 110

Cammy bought a jacket at $43.50\$ 43.50. The price was 25%25 \% off the regular price. What was the regular price?
Jim bought a pair of pants at $16.80\$ 16.80. The price was 40%40 \% off the regular price. What was the regular price?

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Problem 111

Calculate the annual property tax for a home with a purchase price of 200,000andmarketvalueof200,000 and market value of 230,000 at a rate of 1.1%1.1\%.

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Problem 112

Jim needs $7500\$7500 for a project. He can invest $6000\$6000 at 12%12\% annual rate, compounded semiannually. How long until he has enough?

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Problem 113

Find the linear cost function C(x)C(x) for an artist who makes handmade earrings with fixed costs of $100\$ 100 and marginal cost of $9\$ 9 per pair.
C(x)=100+9xC(x)=100 + 9x

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Problem 114

Find the account balance after 6 years using the compound interest formula: A=P(1+rn)(nt)A=P\left(1+\frac{r}{n}\right)^{(n-t)} with P=$18,000P=\$18,000, r=9%r=9\%, and n=2n=2 (semiannual).

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Problem 115

A real estate agent earns a 4%4\% commission on a $389,700\$ 389,700 house sale. Find the agent's commission, rounded to the nearest cent.

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Problem 116

Melissa borrowed $18,000 at 4.25% interest for 6 years to buy a fishing boat. Find her (a) monthly payment, (b) total repayment, and (c) total interest paid.
(a) Monthly payment: $318.08\$ 318.08 (b) Total repayment: $22,780.80\$ 22,780.80 (c) Total interest paid: $4,780.80\$ 4,780.80

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Problem 117

Calculate the markup percentage for lawn mowers priced at $42\$ 42 each, if the store paid $14\$ 14 for each.

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Problem 118

Find the dividend yield on Stock A selling at 30pershare,whenCompanyApaysaquarterlydividendof30 per share, when Company A pays a quarterly dividend of 0.15 per share. Round the dividend yield to the nearest tenth percent.

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Problem 119

Determine the inflation rate in an economy with 3% real GDP growth and 4% money growth.
π=μg\pi = \mu - g, where π\pi is the inflation rate, μ\mu is the money growth rate, and gg is the real GDP growth rate.

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Problem 120

Examine the given price and quantity data for TVs and milk in 2015 and 2019. Calculate the nominal and real GDP in 2015 and 2019 using £31,000£ 31,000, £38,125£ 38,125, £32,600£ 32,600.

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Problem 121

A company estimates 0.9%0.9\% of products fail within 2 years after warranty. Replacement cost is $500\$ 500. What is the expected value of a $80\$ 80 2-year extended warranty?

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Problem 122

Find the mortgage amount given a 22,750downpaymentona22,750 down payment on a 325,000 property.

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Problem 123

Find the adjusting entry for a supplies account with a balance of $7,200\$ 7,200 and $1,200\$ 1,200 in supplies inventory at the end of the fiscal year.

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Problem 124

Print 14 copies of a 160-page report. Paper is sold in reams (500 pages) for $3.07\$ 3.07 each. How much will the paper cost?

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Problem 125

If total liabilities increased by $9,000\$ 9,000 and owner's equity decreased by $25,000\$ 25,000, then the change in total assets is: a. $34,000\$ 34,000 increase b. $16,000\$ 16,000 increase c. $34,000\$ 34,000 decrease d. $16,000\$ 16,000 decrease

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Problem 126

Calculate the percent change in grocery expenditures from March to April. Groceries: 112inMarch,112 in March, 120 in April. Round to nearest whole percent.

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Problem 127

Calculate the total liabilities of White Cleaning Services on 31/12/202231/12/2022 given that total assets on 31/12/202231/12/2022 were $126,000\$ 126,000, total assets on 1/1/20221/1/2022 were $85,000\$ 85,000, total liabilities on 1/1/20221/1/2022 were $17,000\$ 17,000, total revenue in 2022 was $61,000\$ 61,000, total expenses in 2022 were $35,000\$ 35,000, and Mr. Mansoor made an additional investment of $12,000\$ 12,000 to the business in 2022.
Response: 29000

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Problem 128

Company bought a 3-year insurance policy for $25,200\$25,200 on 1/4/20201/4/2020. Reported net income for 2020 was $63,000\$63,000. If the accountant missed the insurance adjustment on 12/31/202012/31/2020, the correct 2020 net income should be $56,700\$56,700.

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Problem 129

Diane bought $12,600\$ 12,600 in lab equipment, paying $1200\$ 1200 down and taking out a loan for the rest. She paid $505.26\$ 505.26 monthly for 2 years to pay off the loan. (a) What was the total cost? (b) How much interest did she pay?

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Problem 130

Find the hourly wage given the relationship between hours worked and money earned: $x\$ x per hour.

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Problem 131

Find the present value of a firm's 3-year cash flow stream with 5,000,5,000, 25,000, and $14,000 at 8% discount rate.

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Problem 132

The beach house costs $800000\$ 800000 now. Inflation is expected to increase the price by 5%5\% annually over 20 years. How much will the house cost after 20 years? If they invest equal end-of-year payments earning 13%13\% annually, how much must they invest each year to buy the house in 20 years?

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Problem 133

Calculate the ratio of input and output power in decibels, given input power is 20 W20 \mathrm{~W} and output power is 40 W40 \mathrm{~W}.

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Problem 134

Find the future cost of a CD after 12 years, given an inflation rate of 4.5%4.5 \% and a present cost of $12.95\$ 12.95. Round the answer to the nearest cent.

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Problem 135

Determine the cost in 2018 of an item that cost 100in1999usingalinegraphandtwomodels:100 in 1999 using a line graph and two models: C = 1.9x + 120.4and and C = 0.03x^2 + 1.8x + 120.7,where, where Cisthecost is the cost x$ years after 2010.

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Problem 136

Determine the number of shares issued given that 100,000 shares are authorized, 60,000 were originally issued, and 10,000 were reacquired.

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Problem 137

Jill Company's trial balance includes Accounts Receivable of 850,000(Dr.)and850,000 (Dr.) and 18,000 (Cr.). Bad debts are estimated at 5%5\% of receivables. What is the bad debt expense?

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Problem 138

Gannon Co. borrowed $200,000 for 4 years at 0% interest. Lucky Finance received a note. On the transaction date, the market rate was 8%. Calculate the amount credited to Cash on Lucky Finance's books.
Given: PVPV of $200,000\$ 200,000 at 6%, 4 years = $158,420\$ 158,420 PVPV of $200,000\$ 200,000 at 8%, 4 years = $147,000\$ 147,000

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Problem 139

Find the break-even production level for a product sold at $23.5\$ 23.5 per unit, with fixed cost $29000\$ 29000 and variable cost $18.5\$ 18.5 per unit.

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Problem 140

The function f(x)=370(1.15)xf(x)=370(1.15)^{x} models a first-edition comic's value. What does xx represent?

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Problem 141

Calculate the variance of payout per policy holder for an insurance company with 1580 customers and payout scenarios: $690000\$ 690000 (0.001), $120000\$ 120000 (0.05), and 0 (0.949).

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Problem 142

Find the time tt in years given the formula A=P(1+rt)A=P(1+r t) where A=$1,024A=\$1,024, P=$640P=\$640, and r=12%r=12\%.

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Problem 143

Redefine the car's value function c(ω)=3125ω+5000c(\omega) = 3125\omega + 5000 and find its value after 30 days.

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Problem 144

Find the present value of $100,000\$ 100,000 due in 6 years at a continuous 7% interest rate. The present value is $\$ \square.

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Problem 145

Depreciate a 2,100computerover7yearsusingstraightlinemethod.Findthebookvaluefunction,domain,graph,valueafter3years,andwhenvalueis2,100 computer over 7 years using straight-line method. Find the book value function, domain, graph, value after 3 years, and when value is 600.

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Problem 146

Solve for the amount of money left after buying 4 tires that each cost $41\$ 41 plus $2.25\$ 2.25 tax and weigh 25 pounds, given you have $269\$ 269 to spend. The piece of given information that is not necessary is the weight of the tires.

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Problem 147

Find the annual return percentage for a stock purchased at 70pershare,soldafter4yearsfor70 per share, sold after 4 years for 8200, with 100 shares.

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Problem 148

Find the energy efficiency of a system with energy output of 25 units and energy input of 100 units.
EnergyEfficiency=EnergyOutputEnergyInput×100Energy\,Efficiency = \frac{Energy\,Output}{Energy\,Input} \times 100

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Problem 149

Evaluate the compound interest formula A=P(1+rn)ntA=P\left(1+\frac{r}{n}\right)^{n t} with P=2000,r=0.05,n=12,t=5P=2000, r=0.05, n=12, t=5. Round the result to the nearest cent and show the exact calculation.

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Problem 150

An individual sets up an IRA at age 21 with a 6% APR, depositing $45 monthly. How much will the IRA contain at age 65? Compare to total deposits.
The IRA will contain $318,443.15\$ 318,443.15 after retirement.

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Problem 151

Find the doubling time of an economic indicator increasing at 3% per year. Discuss the validity of the doubling time formula. Calculate the indicator's increase over 5 years.
Doubling time=ln2r\text{Doubling time} = \frac{\ln 2}{r}, where rr is the growth rate. Determine if this formula is appropriate for the given case.

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Problem 152

a. Janessa paid $390.96\$ 390.96 for a 2-year magazine subscription. After receiving 25 magazines in the second year, she cancelled. How many magazines will she receive a refund for? Round up to a whole number.
b. Calculate the pro-rated refund Janessa should receive from the magazine company. Round up to the nearest cent.

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Problem 153

Classic Movie DVDs are on sale from June 19-25. 60 titles available. 2 for $15.00\$ 15.00, 3 for $20.00\$ 20.00, or 5 for $30.00\$ 30.00 with coupon. After June 25, $8.50\$ 8.50 each. Cost of 5 DVDs on June 26 is $32.50\$ 32.50.

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Problem 154

Find the simple interest rate rr for a loan with principal P=$2300P=\$2300, future value A=$2775A=\$2775, and duration t=3t=3 months.

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Problem 155

Find the capital position (CP) when the selling price (SP) is Rs.0.924Rs. 0.924 and the gain is 10%.

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Problem 156

a) The nursing home's annual profit is approximately P(18,70,350000,10)=$2,289,526 P(18, 70, 350000, 10) = \$ 2,289,526
b) The partial derivatives of PP are: Pw=0.487294w1.647r1.097s0.867t2.461 \frac{\partial P}{\partial w} = -0.487294w^{-1.647}r^{1.097}s^{0.867}t^{2.461}

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Problem 157

Find the price that maximizes revenue for personal CD players, given that a $1\$ 1 decrease in price leads to 5 more units sold over 2 weeks, and the regular price is $90\$ 90.

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Problem 158

Find the price of a used book sold at a bookstore, where the owner buys them for $2.25\$ 2.25 each and resells them for 300%300\% of the purchase price.

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Problem 159

Solve for P in the equation A=P+PrtA=P+\operatorname{Pr} t. Options: a) P=ArtP=A-r t, b) P=Art2P=\frac{A-r t}{2}, c) P=A1+rtP=\frac{A}{1+r t}, d) P=A2rtP=\frac{A}{2 r t}.

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