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Suppose your parents deposited $1500 in an account paying 6.5% interest compounded annually when you were born. Find the account balance after 18 years.

Respuesta :

Answer:

Option A. [tex]\$4,659.98[/tex]  

Step-by-step explanation:

The options are

A. $4659.98

B. $12,325,434.98

C. 1653.18

D. 4817.75

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=18\ years\\ P=\$1,500\\ r=6.5\%=6.5/100=0.065\\n=1[/tex]  

substitute in the formula above

[tex]A=1,500(1+\frac{0.065}{1})^{1*18}[/tex]

[tex]A=1,500(1.065)^{18}[/tex]  

[tex]A=\$4,659.98[/tex]