Emma is going to invest in an account paying an interest rate of 5. 5% compounded annually. How much would emma need to invest, to the nearest hundred dollars, for the value of the account to reach $480 in 8 years?.

Respuesta :

The amount she need to invest is $313.72

Emma is going to invest in an account paying an interest rate of 5. 5% compounded annually

For the value of the account to reach $480

Time period is 8 years

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

When p stands for the principle amount invested, r is the rate of interest, t is the time period of investment

and n is the number of times the compounding takes place in a year.

480 = (1 + 5.5/100)^8

480 = P x 1.534

P = 313.72

Therefore, if the rate of interest is 5.5% and the  the value of the account to reach $480 in 8 years then the amount she need to invest is $313.72

To learn more about compound interest refer here

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