> Compound Interest question!?

Compound Interest question!?

Posted at: 2014-12-05 
a. 40,000=15,000(1+r/4)^80

8/3=(1+r/4)^80

1.01234=1+r/4

0.01234=r/4; r=0.04934 or 4.934%

A sales representative describes a "guaranteed investment fund" that if offered to new investors. By depositing $15,000 in the fund, you will be guaranteed to receive a total of at least $40,000 after 20 years. Assuming that interest is compounded quarterly, determine the fixed annual rates of interest that yield.

(a) the minimum that yield

(b) a return of $48,00 after 20 years

Formula :

A=P(1+r/n) ^nt

A=balance in account

P=Principal (original)

r=annula interest rate

n= # of compounds in a year

t=time in years