SOLUTION: (Compound value solving for n)How many years will the following take? a) $500 to grow to $1,039.50 invested at 5 percent compounded annually b) $35 to grow to $53.87 invested a

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Question 426965: (Compound value solving for n)How many years will the following take?
a) $500 to grow to $1,039.50 invested at 5 percent compounded annually
b) $35 to grow to $53.87 invested at 9 percent compounded annually
c) $100 to grow to $298.60 invested at 20 percent compounded annually
d) $53 to grow to $78.76 invested at 2 percent compounded annually

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Note: In genernal, A= p(1+r/n) ^nt
Compounded annually; A = p(1+r)^t OR log(A/p) /log(1+r) = t
a) $500 to grow to $1,039.50 invested at 5 percent compounded annually
log(1039.50/500)/log(1.05) = 15yr
b) $35 to grow to $53.87 invested at 9 percent compounded annually
log(53.87/35)/log(1.09) = t
c) $100 to grow to $298.60 invested at 20 percent compounded annually
log(298.60/100)/log(1.20) = t
d) $53 to grow to $78.76 invested at 2 percent compounded annually
log(78.76/53)/log(1.02) = t


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