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(1 point) If you need $50,000 eight years from now, what is the minimum amount o

ID: 3138651 • Letter: #

Question

(1 point) If you need $50,000 eight years from now, what is the minimum amount of money you need to deposit into a bank account that pays 5% annual interest, compounded (give your answers to the nearest cent) (a) annually? $ (b) monthly?$ (c) daily (assuming 365 days in a year)? $ (1 point) If $7000 is deposited into an account paying a nominal interest rate of 3% per year, how much is in the account 5 years later if interest is compounded (round all answers to the nearest cent, do not write your answers with commas): (a) annually? s (b) continuously? $ (1 point) If 5000 dollars is invested at 4 percent interest, find the value of the investment at the end of 3 years if the interest is compounded: Annually: Monthly: Daily: Continuously:

Explanation / Answer

1) amount needed = $ 50000

time = 8 years

rate = 5%

a) annually

50000 = P ( 1 + .05)^8

P = $ 33841.97

b) monthly

50000 = P ( 1+.05/12)^12*8

P = 50000/1.490585

P = $ 33543.88

c) daily

50000 = P ( 1+.05/365 )^8*365

P = 50000/1.49178

P = $ 33517.01