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ID: 3111360 • Letter: #

Question

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Bill Casler bought a $1000, 9-month certificate of deposit (CD) that would earn 8% annual simple interest. Three months before the CD was due to mature, Bill needed his CD money, so a friend agreed to lend him money and receive the value of the CD when it matured. (a) What is the value of the CD when it matures? $ (b) If their agreement allowed the friend to earn a 10% annual simple interest return on his loan to Bill, how much did Bill receive from his friend? (Round your answer to the nearest cent.) $

Explanation / Answer

P=$1000

t = 9 month = 9/12 year

r=8%

I= Interest = P*r*t/100 = 60

a) Mature value of CD = 1000+60 = $1060

b) Let x= ammount friend receive from Bill

r = 10%

t = 3months = 3/12 Year

1060-x = x*10*3/(12*100)

x =$ 1034.14