How much value of 400 invested 4 interest compounded monthly for 10 years?

To calculate the future value of an investment with compound interest, you can use the formula: ( A = P \left(1 + \frac{r}{n}\right)^{nt} ), where ( A ) is the amount of money accumulated after n years, including interest, ( P ) is the principal amount (initial investment), ( r ) is the annual interest rate (in decimal), ( n ) is the number of times that interest is compounded per year, and ( t ) is the number of years the money is invested.

Assuming a 4% annual interest rate, the future value of $400 invested for 10 years, compounded monthly, would be:

[ A = 400 \left(1 + \frac{0.04}{12}\right)^{12 \times 10} \approx 400 \left(1 + 0.003333\right)^{120} \approx 400 \times 1.48024 \approx 592.10 ]

So, the investment would grow to approximately $592.10.