3. Regina deposits $4,500 in a savings account that pays 7 1/2% interest, compounded semiannually. a. How much interest does the account earn in the first six months?​

Respuesta :

How much interest does the account earn in the first six mmonth is $168.75

First step is to calculate the future amount Using this formula

A = P(1+r/n)^nt  

Where:

A represent Future amount

P represent Principal investment =$4,500

r represent Interest rate as a decimal = .075

n represent Number times compounded each year = 2

t represent Time in years = 1/2  

Let plug in the formula

A = $4,500(1+.075/2)2(.5)

A= $4,500(1.0375)

A=$4,668.75

Now let determine much interest does the account earn in the first six mmonth

Using this formula

I = A-P

Let plug in the formula

I = $4,668.75 - $4,500

I = $168.75

Inconclusion How much interest does the account earn in the first six month is $168.75

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