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Tom opens a bank account and makes an initial deposit of $15,000. The banker tells Tom that he is going to receive an annual rate of 3.5% on his investment. Find the bank balance assuming Tom leaves the account untouched for 15 years. In your final answer, include all of your calculations.

Respuesta :

well if the interest is compounding  yearly at 3.5% the amount would be $25,130.23

Answer:

His balance will be $ 25,130.232( approx )

Step-by-step explanation:

Since, the future value of an amount that is increasing per period,

[tex]A=P(1+r)^t[/tex]

Where, P is the principal amount,

r is the rate per period ( in decimal ),

t is number of periods,

Here, P = $ 15000,

r = 3.5 % = 0.035,

t = 15 years,

By substituting the values in the above formula,

The Tom's bank balance after 15 years is,

[tex]A=15000(1+0.035)^{15}[/tex]

[tex]=15000(1.035)^{15}[/tex]

[tex]=15000(1.67534883075)[/tex]

[tex]=\$25130.2324613\approx \$25130.232[/tex]

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