Hello, I just want to know if these answers are correct. I appreciate all the assistance you can give.

To what amount will the following investments accumulate?

1. $5,000 invested for 10 years at 10 percent compounded annually
5,000 x 1.1 ^ 10 = $12,968.27

2. $8,000 invested for 7 years at 8 percent compounded annually
8,000 x 1.08 ^ 7 = $13,710.60

3. $775 invested for 12 years at 12 percent compounded annually
775 x 1.12 ^ 12 = $3,019.40

4. $21,000 invested for 5 years at 5 percent compounded annually
21,000 x 1.05 ^ 5 = $26,801.90

All correct. Except I'm getting different cents only, which is probably some rounding issue. Are you rounding after doing the exponent? Unless you know for sure your instructor is not picky about such things, I would not do that.