You deposit $2000 in an account that pays 7% interest compounded semiannually. After 5 years, the interest rate is increased to 7.28% compounded quarterly. What will be the value of the account after a total of 10 years? The value of the account will be $. (Round to the nearest dollar as needed.)

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  $4047

Step-by-step explanation:

For an interest rate r compounded n times per year for t years, the effective multiplier is ...

  (1 +r/n)^(nt)

The multiplier for the first 5 years is ...

  (1 +0.07/2)^(2·5) = 1.41059876

The multiplier for the last 5 years is ...

  (1 +0.0728/4)^(4·5) = 1.43437218

Then the account value at the end of 10 years is ...

  $2000(1.41059876)(1.43437218) ≈ $4047 . . . . balance after 10 years

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