To calculate the amount John will have after two years with a principal of $10,000 invested at an annual compound interest rate of 10%, we can use the formula for compound interest:
[ A = P(1 + r)^n ]
where ( A ) is the amount after time ( n ), ( P ) is the principal, ( r ) is the interest rate, and ( n ) is the number of years. Plugging in the values, we get:
[ A = 10000(1 + 0.10)^2 = 10000(1.10)^2 = 10000(1.21) = 12100. ]
Thus, after two years, John will have $12,100.
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