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1. A retirement account has $40,000 in it and earns 12% interest per year compou

ID: 2900465 • Letter: 1

Question

1. A retirement account has $40,000 in it and earns 12% interest per year compounded monthly. At the end of every month for the next 12 years you will deposit $200 into this account. How much will be in the account at the end of 10 years? (Round to the nearest dollar.)


2. An investment of $8215 was made into an account that compounded interest monthly. At the end of 14 years, the balance in the account doubled. Find the interest rate to the nearest tenth of a percent.


3. Find the term of a loan of $1672 at 5.3% if simple interest is $73.85.


i need the formulas as well

Explanation / Answer

1. A retirement account has $40,000 in it and earns 12% interest per year compounded monthly. At the end of every month for the next 12 years you will deposit $200 into this account. How much will be in the account at the end of 10 years? (Round to the nearest dollar.)

pv =40000, rate =12/12 =1% , nper = 10*12 = 120, pmt = 200


Amount at the end of 10 year = fv(rate,nper,pmt,pv)

Amount at the end of 10 year = fv(1%,120,200,40000)

Amount at the end of 10 year = $ 178,023