Exam 3: Additional Derivative Topics

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Provide an appropriate response. -Find the amount due on a loan of $8,500 at 7.5% simple interest at the end of 4 years.

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$11,050

Convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form. -11.6% to decimal

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C

Solve the problem. Round to the nearest cent as needed. -The rabbit population in a forest area grows at the rate of 6% monthly. If there are 230 rabbits in April, find how many rabbits (rounded to the nearest whole number) should be expected by next April. Use e Solve the problem. Round to the nearest cent as needed. -The rabbit population in a forest area grows at the rate of 6% monthly. If there are 230 rabbits in April, find how many rabbits (rounded to the nearest whole number) should be expected by next April. Use e

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D

Find the rate of interest required to achieve the conditions set forth. -A = $32,000 P = $8,000 T = 20 years Compounded annually

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Find the amount that will be accumulated in the account under the given conditions. -The principal $15,400 is accumulated with simple interest of 16% for 5 years.

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Find the compound interest earned. Round to the nearest cent. -$600 at 5% compounded quarterly for or Find the compound interest earned. Round to the nearest cent. -$600 at 5% compounded quarterly for or

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Solve the problem. Round to the nearest cent as needed. -The monthly payments on a $73,000 loan at 13% annual interest are $807.38. How much of the first monthly payment will go toward the principal?

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Solve the problem. Assume no new purchases are made with the credit card. -The annual interest rate on a credit card is 20.99%. If a payment of $100.00 is made each month, how long will it take to pay off an unpaid balance of $1546.15?

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Solve for the missing value. Round to four decimal places. -n = 24; i = 0.09; PMT = $1; PV = ?

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Use the formula A = P(1 + rt) to find the indicated quantity. -P = $7996; r = 6%; t = 10 months. Find A.

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Find the monthly house payment necessary to amortize the following loan. -In order to purchase a home, a family borrows $70,000 at 12% for 15 years. What is the monthly payment?

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Find the present value of the ordinary annuity. -Payments of $68 made quarterly for 10 years at 8% compounded quarterly

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Use I = Prt for simple interest to find the indicated quantity. -I = $750; r = 6%; t = 6 months. Find P.

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Solve the problem. Round to the nearest cent as needed. -How many months will it take until an account will have $3,500 if $2,500 is invested now at 5% compounded monthly?

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Use an amortization table to solve the problem. Round to the nearest cent. -You have agreed to pay off a $8,000 loan in 30 monthly payments of $298.79 per month. The interest rate of the loan is 0.75% per month on the unpaid balance. What is the unpaid balance after 12 monthly payments have been made?

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Solve the problem. -If $300,000 is to be saved over 25 years, how much should be deposited monthly if the investment earns 8% interest compounded monthly?

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Use an amortization table to solve the problem. Round to the nearest cent. -A home was purchased 14 years ago for $70,000. The home was financed by paying a 20% down payment and signing a 25 year mortgage at 8.5% compounded monthly on the unpaid balance. The market value is now $100,000. The owner wishes to sell the house. How much equity (to the nearest dollar) does the owner have in the house after making 168 monthly payments?

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What is the annual percentage yield (APY) for money invested at the given annual rate? Round results to the nearest hundredth of a percent. -3.5% compounded continuously.

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Solve the problem. Round dollar amounts to the nearest cent. Use 360 days. -What is the purchase price of a 26-week T-bill with a maturity value of $1000 that earns an annual interest rate of 5.25%?

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Use I = Prt for simple interest to find the indicated quantity. -P = $13,500; t = 4 months; I = $517.50. Find r.

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