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George’s parents are saving for his college fund. They put $5,000 into an interest bearing account with a compound interest rate of 5.5%. George’s parents want to determine what the balance of his college fund account will be after 15 years. Using the formula. which is the correct substitution for the formula?

Respuesta :

Aliwohaish12
Hi there
The formula is
A=p (1+r)^t
A future value?
P present value 5000
R interest rate 0.055
T time 15 years
So
A=5,000×(1+0.055)^(15)
A=11,162.38

Hope it helps

Answer: $ 11162.38 (Approx)

Step-by-step explanation:

Here the principal amount is, P = $ 5000

Annual rate is, r = 5.5%

Total time, t = 15 years

Thus, the amount of saving after getting 5.5% compound annual interest for 15 years is,

[tex]A = P(1+\frac{r}{100} )^t[/tex]

[tex]A = 5000(1+\frac{5.5}{100} )^{15}[/tex]

[tex]A = 5000(1+0.055)^{15}[/tex]

[tex]A = 5000(1.055)^{15}[/tex]

[tex]A = 11162.3824612\approx 11162.38[/tex]

Thus, The balance of his college fund account will be after 15 years is  $ 11162.38 (Approx)

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