you iherited $12,000 from great-uncle michael. If you invest it and average an 8% annual rate of return, compounded anually how much will you have in 20 years

Respuesta :

Answer:

$55,931.49

Explanation:

The formula for compound interest is to be used for this question

           FV = P(1+r)^n

Where:

            FV = Future Value of investment

              P = Principal

              r =  Interest rate

              n = Number of years

              P = $12,000

              r =  8%

              n = 20 years

            FV = 12,000(1+8%)^20

            FV = 12,000(1+.08)^20

            FV = 12,000(1.08)^20

            FV = 12,000(4.660957144)

            FV = 55,931.48573

            FV = $55,931.49              (To 2 Decimal Places)

That is, the investment $12,000 will become the sum of $55,931.49 in 20 years at 8% annual rate of return compounded annually

Answer

Compound interest=P(1+I)^-1

Where P=principal

I=norminal annual interest rate in percentage.

^=Compounding periods.

Therefore,

#12,000(1 +0.08)20

=12,000(1.08)^20

=12,000(4.660_1)

=12,000(3.666)

=43,920

In twenty years ,I will have #43,920 dollars.

Explanation: