Partial Question 7 3/4 pts Compound interest. Suppose that Po is invested into an account for which interest is compounded continuously at 4.3% per year. That is, the balance P grows at the rate given by = 0.043P a) Find the function that satisfies this equation. Write it in terms of Po and 0.043. P(1) =Pge 0.043 b) Suppose that $20,000 is invested. What is the balance after 1 yr? After 2 yr? 1 Year = $ 20879 (Round to the next whole number) 2 Year = $ 21796 (Round to the next whole number) c) When will an investment of $20,000 double itself? 16.1 yr (Round to 1 Decimal)Compound interest. Suppose that Po is invested in the Mandelbrot Bond Fund for which interest is compounded continuously at 5.9% per year. That is, the balance P grows at the rate given by =0.059P a) Find the function that satisfies this equation. Write it in terms of Po and 0.059. P(t) =Pge 0.059 b) Suppose that $1000 is invested. What is the balance after 1 yr? After 2 yr? 1 Year = $ 1061 (Round to the next whole number) 2 Year = $ 1125 (Round to the next whole number) c) When will an investment of $1000 double itself? T= 11.7 yr (Round to 1 Decimal)Partial Question 13 7 / 8 pts Interest compounded continuously. Complete the following: Initial Investment Interest Doubling Time, T Amount at t=0, Po Rate, k (in years) after 5 yr $ $75,000 6.2% 11.2 102256.88 7.1 $5,000 9.8 $7,130.90 % $ 8.3 7500 8.4% $11,414.71 $ 6.3 11 $17,539.32 12800 % Note: When calculating the interest rate, round your decimal to 3 decimals then convert your result into a percent. Note: When calculating your time T. round to 1 decimal. Note: When calculating your dollar amount, round to 2 decimals