In a long-distance foot race, how many different finishes among the first 5 places are possible if 50 people are running? (Exclude ties).
> At the time they retire, a couple has $200,000 in an account that pays 8.4% compounded monthly. (A) If the couple decides to withdraw equal monthly payments for 10 years, at the end of which time the account will have a zero balance, how much should the
> A family has a $210,000, 20-year mortgage at 6.75% compounded monthly. Find the monthly payment. Also find the unpaid balance after (A) 5 years (B) 10 years (C) 15 years
> A person establishes a sinking fund for retirement by contributing $7,500 per year at the end of each year for 20 years. For the next 20 years, equal yearly payments are withdrawn, at the end of which time the account will have a zero balance. If money i
> A family is thinking about buying a new house costing $120,000. The family must pay 20% down, and the rest is to be amortized over 30 years in equal monthly payments. If money costs 7.5% compounded monthly, what will the monthly payment be? How much tota
> A man establishes an annuity for retirement by depositing $50,000 into an account that pays 7.2% compounded monthly. Equal monthly withdrawals will be made each month for 5 years, at which time the account will have a zero balance. Each year taxes must b
> From a standard 52-card deck, how many 7-card hands consist of 3 hearts and 4 diamonds?
> Construct the amortization schedule for a $10,000 debt that is to be amortized in six equal quarterly payments at 2.6% interest per quarter on the unpaid balance.
> A recreational vehicle costs $80,000. You pay 10% down and amortize the rest with equal monthly payments over a 7-year period. If you pay 9.25% compounded monthly, what is your monthly payment? How much interest will you pay?
> You want to purchase an automobile for $28,500. The dealer offers you 0% financing for 60 months or a $6,000 rebate. You can obtain 6.2% financing for 60 months at the local bank. Which option should you choose? Explain.
> Refer to the following ads. The ad for a Bison SUV claims that a monthly payment of $399 constitutes 0% financing. Explain why that is false. Find the annual interest rate compounded monthly that is actually being charged for financing $23,997 with 72 m
> Assume that no new purchases are made with the credit card. The annual interest rate on a credit card is 22.99%. If the minimum payment of $25 is made each month, how long will it take to pay off an unpaid balance of $860.22?
> Assume that no new purchases are made with the credit card. The annual interest rate on a credit card is 24.99%. If a payment of $100.00 is made each month, how long will it take to pay off an unpaid balance of $2,487.56?
> If you buy a computer directly from the manufacturer for $3,500 and agree to repay it in 60 equal installments at 1.75% interest per month on the unpaid balance, how much are your monthly payments? How much total interest will be paid?
> E-Loan offers a 36-month auto loan at 9.84% compounded monthly to applicants with fair credit ratings. If you have a fair credit rating and can afford monthly payments of $350, how much can you borrow from E-Loan? What is the total interest you will pay
> American General offers a 7-year ordinary annuity with a guaranteed rate of 6.35% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $10,000 annually over the 7-year period?
> Explain why the last payment in an amortization schedule might differ from the other payments.
> From a standard 52-card deck, how many 5-card hands consist entirely of queens?
> Solve the present value formula (5) for n
> Use formula (5) or (6) to solve each problem. PV = $12,000; PMT = $400; n = 40; i = ? (Round answer to three decimal places.)
> Use formula (5) or (6) to solve each problem. PV = $20,000; i = 0.0175; PMT = $500; n = ?
> Use formula (5) or (6) to solve each problem. PV = $14,000; n = 72; i = 0.005; PMT = ?
> Use formula (5) or (6) to solve each problem. n = 40; i = 0.01; PMT = $400; PV = ?
> Find i (the rate per period) and n (the number of periods) for each loan at the given annual rate. Monthly payments of $433 are made for 3 years to repay a loan at 10.8% compounded monthly.
> Find i (the rate per period) and n (the number of periods) for each loan at the given annual rate. Quarterly payments of $610 are made for 6 years to repay loan at 8.24% compounded quarterly.
> Find i (the rate per period) and n (the number of periods) for each loan at the given annual rate. Annual payments of $1,045 are made for 5 years to repay a loan at 4.75% compounded annually.
> Find i (the rate per period) and n (the number of periods) for each loan at the given annual rate. Semiannual payments of $3,200 are made for 12 years to repay a loan at 9.9% compounded semiannually.
> Find i (the rate per period) and n (the number of periods) for each annuity. Monthly deposits of $350 are made for 6 years into an annuity that pays 6% compounded monthly.
> From a standard 52-card deck, how many 6-card hands consist entirely of clubs?
> Find the sum of the finite geometric series a + ar + ar2 + …+ arn - 1 . a = 4, r = 10, n = 6
> Find the sum of the finite geometric series a + ar + ar2 + …+ arn - 1 . a = 25, r = -1, n = 81
> Find the sum of the finite geometric series a + ar + ar2 + …+ arn - 1 . 1 + 5 + 25 + 125 + …+ 58
> use graphical approximation techniques to answer the questions. When would an ordinary annuity consisting of monthly payments of $200 at 5% compounded monthly be worth more than a principal of $10,000 invested at 7.5% compounded monthly?
> Use graphical approximation techniques or an equation solver to approximate the desired interest rate. Express each answer as a percentage, correct to two decimal places. An employee opens a credit union account and deposits $90 at the end of each month.
> Use graphical approximation techniques or an equation solver to approximate the desired interest rate. Express each answer as a percentage, correct to two decimal places. A person invests $2,000 annually in an IRA. At the end of 6 years, the amount in th
> A company establishes a sinking fund for upgrading office equipment with monthly payments of $2,000 into an account paying 6.6% compounded monthly. How long will it be before the account has $100,000? (Round up to the nexthigher month if not exact.)
> American Express’s online banking division offered a money market account with an APY of 2.243%. (A) If interest is compounded monthly, what is the equivalent annual nominal rate? (B) If a company wishes to have $1,000,000 in this account after 8 years
> Refer to Problems 39 and 40. Suppose that Bob decides to continue to make $1,000 deposits into his IRA every year until his 65th birthday. If John still waits until he is 36 to start his IRA, how much must he deposit each year in order to have the same a
> Refer to Problem 39. John procrastinates and does not make his first $1,000 deposit into an IRA until he is 36, but then he continues to deposit $1,000 each year until he is 65 (30 deposits in all). If John’s IRA also earns 6.4% compounded annually, how
> Nine cards are numbered with the digits from 1 to 9. A 3-card hand is dealt, 1 card at a time. How many hands are possible in which? (A) Order is taken into consideration? (B) Order is not taken into consideration?
> If $500 is deposited each quarter into an account paying 8% compounded quarterly for 3 years, find the interest earned during each of the 3 years
> If $2,000 is deposited at the end of each quarter for 2 years into an ordinary annuity earning 7.9% compounded quarterly, construct a balance sheet showing the interest earned during each quarter and the balance at the end of each quarter.
> Parents have set up a sinking fund in order to have $120,000 in 15 years for their children’s college education. How much should be paid semiannually into an account paying 6.8% compounded semiannually?
> The Hartford offered an annuity that pays 5.5% compounded monthly. What equal monthly deposit should be made into this annuity in order to have $100,000 in 10 years?
> A self-employed person has a Keogh retirement plan. (This type of plan is free of taxes until money is withdrawn.) If deposits of $7,500 are made each year into an account paying 8% compounded annually, how much will be in the account after 20 years?
> USG Annuity and Life offered an annuity that pays 7.25% compounded monthly. If $1,000 is deposited into this annuity every month, how much is in the account after 15 years? How much of this is interest?
> Solve the future value formula (6) for i if n = 2.
> Explain why no interest is credited to an ordinary annuity at the end of the first period.
> Use the future value formula (6) to find each of the indicated values. FV = $4,100; PMT = $100; n = 20; i = ? (Round answer to two decimal places.)
> Use the future value formula (6) to find each of the indicated values. FV = $8,000; i = 0.04; PMT = 500; n = ?
> Use the future value formula (6) to find each of the indicated values. FV = $2,500; n = 10; i = 0.08; PMT = ?
> Use the future value formula (6) to find each of the indicated values. n = 25; i = 0.04; PMT = $100; FV = ?
> The buying and selling commission schedule shown in the table is from an online discount brokerage firm. Taking into consideration the buying and selling commissions in this schedule, find the annual compound rate of interest earned by each investment. A
> Find i (the rate per period) and n (the number of periods) for each annuity. Quarterly deposits of $1,200 are made for 18 years into an annuity that pays 7.6% compounded quarterly.
> The buying and selling commission schedule shown in the table is from an online discount brokerage firm. Taking into consideration the buying and selling commissions in this schedule, find the annual compound rate of interest earned by each investment. A
> Find i (the rate per period) and n (the number of periods) for each annuity. Semiannual deposits of $1,900 are made for 7 years into an annuity that pays 8.5% compounded semiannually.
> Refer to zero coupon bonds. A zero-coupon bond is a bond that is sold now at a discount and will pay its face value at some time in the future when it matures—no interest payments are made. If you pay $32,000 for a 5-year zero coupon bond with a face va
> Find i (the rate per period) and n (the number of periods) for each annuity. Annual deposits of $2,500 are made for 15 years into an annuity that pays 6.25% compounded annually
> Refer to zero coupon bonds. A zero-coupon bond is a bond that is sold now at a discount and will pay its face value at some time in the future when it matures—no interest payments are made. A zero-coupon bond with a face value of $20,000 matures in 10 y
> What annual nominal rate compounded continuously has the same annual percentage yield as 6% compounded monthly?
> A book club meets monthly at the home of one of its 10 members. In December, the club selects a host for each meeting of the next year
> A payday loan is a short-term loan that is repaid on the next payday, often by giving the lender electronic access to a personal checking account. Some states have statutes that regulate the fees that may be charged for payday loans. express the annual i
> What is the annual nominal rate compounded monthly for a bond that has an annual percentage yield of 2.95%?
> A payday loan is a short-term loan that is repaid on the next payday, often by giving the lender electronic access to a personal checking account. Some states have statutes that regulate the fees that may be charged for payday loans. express the annual i
> using graphical approximation techniques on a graphing calculator. One investment pays 9% simple interest and another pays 6% compounded monthly. Which investment would you choose? Why?
> Assume that the annual interest rate on a credit card is 19.99% and interest is calculated by the average daily balance method. The unpaid balance at the start of a 30-day billing cycle was $475.17. A purchase of $125.93 was made on day 3. No payment wa
> using graphical approximation techniques on a graphing calculator How long does it take for a $4,800 investment at 8% compounded monthly to be worth more than a $5,000 investment at 5% compounded monthly?
> Assume that the annual interest rate on a credit card is 19.99% and interest is calculated by the average daily balance method. The unpaid balance at the start of a 30-day billing cycle was $1,583.44. No purchases were made during the billing cycle and
> Show that the exact annual compound rate of growth of an investment that doubles in n years is given by r = 100 (21/n – 1) . Graph this equation and the rule of 72 on a graphing calculator for 5 ≤ n ≤ 20.
> Assume that the annual interest rate on a credit card is 25.74% and interest is calculated by the average daily balance method. The unpaid balance at the start of a 28-day billing cycle was $1,837.23. Purchases of $126.54 and $52.89 were made on days 21
> How long will it take money to triple if it is invested at 5% compounded daily? 6% compounded continuously?
> A student bought 4 books: 1 for his father, 1 for his mother, 1 for his younger sister, and 1 for his older brother.
> Assume that the annual interest rate on a credit card is 25.74% and interest is calculated by the average daily balance method. The unpaid balance at the start of a 28-day billing cycle was $955.13. A $50 payment was credited to the account on day 21 of
> If $1 had been placed in a bank account in the year 1066 and forgotten until now, how much would be in the account at the end of 2026 if the money earned 2% interest compounded annually? 2% simple interest? (Now you can see the power of compounding and w
> Many tax preparation firms offer their clients a refund anticipation loan (RAL). For a fee, the firm will give a client his refund when the return is filed. The loan is repaid when the IRS refund is sent to the firm. The RAL fee is equivalent to the inte
> A married couple has $15,000 toward the purchase of a house. For the house that the couple wants to buy, a down payment of $20,000 is required. How long will the money have to be invested at 7% compounded quarterly to grow to $20,000? (Round up to the ne
> Many tax preparation firms offer their clients a refund anticipation loan (RAL). For a fee, the firm will give a client his refund when the return is filed. The loan is repaid when the IRS refund is sent to the firm. The RAL fee is equivalent to the inte
> If you deposit $10,000 in a savings account now, what rate compounded continuously would be required for you to withdraw $12,500 at the end o
> Use the commission schedule from Company B shown in Table 3 to find the annual rate of interest earned by each investment. An investor purchases 75 shares at $37.90 a share, holds the stock for 150 days, and then sells the stock for $41.20 a share.
> (A) Starting with formula (1), derive each of the following formulas: (B) Explain why it is unnecessary to memorize the formulas above for P, i, and n if you know formula (1).
> Use the commission schedule from Company A shown in Table 2 to find the annual rate of interest earned by each investment. An investor purchases 450 shares at $21.40 a share, holds the stock for 26 weeks, and then sells the stock for $24.60 a share.
> In a suburb, housing costs have been increasing at 5.2% per year compounded annually for the past 8 years. A house worth $260,000 now would have had what value 8 years ago?
> The university president selected 2 of her vice-presidents to attend the dedication ceremony of a new branch campus.
> To complete the sale of a house, the seller accepts a 180-day note for $10,000 at 7% simple interest. (Both interest and principal are repaid at the end of 180 days.) Wishing to use the money sooner for the purchase of another house, the seller sells the
> If the inflation rate averages 4% per year compounded annually for the next 5 years, what will a car that costs $17,000 now cost 5 years from now?
> Assume that the minimum payment on a credit card is the greater of $27 or 3% of the unpaid balance. Find the minimum payment on an unpaid balance of $927.38.
> A person with $14,000 is trying to decide whether to purchase a car now, or to invest the money at 6.5% compounded semiannually and then buy a more expensive car. How much will be available for the purchase of a car at the end of 3 years?
> Assume that the minimum payment on a credit card is the greater of $20 or 2% of the unpaid balance. Find the minimum payment on an unpaid balance of $936.24.
> How long will it take money to double if it is invested at (A) 21% compounded continuously? (B) 33% compounded continuously?
> What is the purchase price of a 26-week T-bill with a maturity value of $1,000 that earns an annual interest rate of 4.903%?
> How long will it take money to double if it is invested at (A) 8% compounded semiannually?
> What annual interest rate is earned by a 33-day T-bill with a maturity value of $1,000 that sells for $996.16?
> Use compound interest formula (1) to find n to the nearest larger integer value A = 2P; i = 0.05; n = ?
> simplify each expression assuming that n is an integer and n ( 2.
> Evaluate the expression. If the answer is not an integer, round to four decimal places. (52 – 47)!
> Assume Down, Inc., was organized on May 1 to compete with Despair, Inc.—a company that sells de-motivational posters and office products. Down, Inc., encountered the following events during its first month of operations. a. Received $60,000 cash from the
> Rawlco Communications operates 15 radio stations. The following events occurred during September. a. Placed an order for office supplies costing $2,000. Supplier intends to deliver later in the month. b. Purchased equipment that cost $30,000; paid $10,
> Match each term with its related definition by entering the appropriate letter in the space provided. There should be only one definition per term (that is, there are more definitions than terms).
> Five individuals organized Miami Music Corporation on January 1. At the end of January 31, the following monthly financial data are available: No dividends were declared or paid during January. Required: 1. Complete the following income statement and
> Review the chapter explanations of the income statement and the balance sheet equations. Apply these equations in each of the following independent cases to compute the two missing amounts for each case. Assume that it is the end of the first full year o
> Home Realty, Incorporated, has been operating for three years and is owned by three investors. J. Doe owns 60 percent of the total outstanding stock of 9,000 shares and is the managing executive in charge. On December 31, the following financial items fo
