Use the formula 2 = = (1 + nt 100n to find the doubling time t, in years, for an investment at r% compounded n times per year. Write this exponential statement in logarithmic form for an investment at 7% compounded quarterly. t = Use a change-of-base formula to find the doubling time (in years) for this investment. (Round your answer to two decimal places.) t = yr

Suppose that $70000 is invested at 5% interest per year. Find the amount of money in the account after 2 years if the interest is compounded annually. Find the amount of money in the account after 2 years if the interest is compounded continuously. If interest is compounded annually, what is the amount of money at t=2 years? $ (Simplify your answer. Type an integer or a decimal. Round to the nearest cent if needed.) If interest is compounded continuously, what is the amount of money at t=2 years? $ (Simplify your answer. Type an integer or a decimal. Round to the nearest cent if needed.)

nt r Use the compound interest formulas A = P1+ in and A = Pet to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of $25,000 for 4 years at an interest rate of 4% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? 2$ (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) b.What is the accumulated value if the money is compounded quarterly? $ (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) c. What is the accumulated value if the money is compounded monthly? $ (Round your answer to the nearest cent. Do not include the $ symbol in your answer.) d. What is the accumulated value if the money is compounded continuously? $ (Round your answer to the nearest cent. Do not include the $ symbol in your answer.)

An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find the instantaneous rate of change in the amount in the account at the time the amount is equal to $14,907.  Round to the nearest cent. $                     per year.