Problema Solution

In 2001, a sum of $4000 is invested at a rate of 6.5% per year for 5 years.

a) what is the vale of the investment when it matures?

b) when will the investment be worth $1,000,000

Answer provided by our tutors

P = $4,000 the principal


t = 5 years


r = 0.065 or 6.5% annual rate


A = future value (the money available on the maturity date)


A = P(1 + r)^t


a) what is the vale of the investment when it matures?


A = 4000(1 + 0.065)^5


A = $5,480.35


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b) when will the investment be worth $1,000,000


we need to find t such that 4000(1 + 0.065)^t = 1,000,000


t = 87.68 years


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after 87.68 years the investment will be 87.68 years old.