1. Charles invests his life savings of $4000 in an account that earns him an annual interest rate of 8%, compounded quarterly. How long will it take for this account to attain a value of $6000? show all work(Do not simplify your answer.)
2. Henry invests $10,000 at an interest rate of 4%, compounded continuously. Prove that the amount of money Henry has after 25 years is more than $25,000, without using a calculator.
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