A thousand dollars is left in a credit union drawing 7% compounded monthly.
What is the balance at the end of 10 years?




Please show the work to answer compound interest work

Respuesta :

Answer: $2009.66

Step-by-step explanation:

A = P(1 + r/n)^nt

The balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

A thousand dollars is left in a credit union drawing 7% compounded monthly. The balance at the end of 10 years has to be find out.

Here the data given are,

  • Principal amount $1000.
  • The rate of interest is 7%.
  • Time period is 10 years.
  • The number of month in a year is 12.

Put these values in the above formula as,

[tex]A=1000\times\left(1+\dfrac{7}{12\times100}\right)^{12\times10}\\A=2009.66[/tex]

Thus, the balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66

Learn more about the compound interest here;

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