Donna deposits $850 in an account that earns 2.9% compound annually. Find the amount of interest earned and the total value of the account after 60 months.​

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Answer:

In 5 years, you will have $980.61

Step-by-step explanation:

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The Amount of interest earned should be $130.56 and total value of the account should be $980.56.

What information do we have:

  • Total money deposit in account is(P) $850.
  • Interest rate is 2.9% compounded annually.
  • We need to find the value after 60 months or 5 years.

Calculation of the interest earned and total value:

Future value = [tex]P (1+r)^{t}[/tex]

By putting the value, we get

FV = [tex]850 (1+0.029)^{5}[/tex]

= $850 [tex]\times[/tex] [tex]1.029^{5}[/tex]

= $850 [tex]\times[/tex] 1.1536

= $980.56

Total value of account after 5 years = $980.56

Now, amount of interest = $980.56 - $850

= $130.56

Hence, The Amount of interest earned should be $130.56 and total value of the account should be $980.56.

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