Suppose that P dollars in principal is invested for 3 years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period. P = $14,000, 3: 14 yr (a) 3% interest (b) 4% interest (c) 4.5 % interest Part: 0/ 3 Part 1 of3 (a) At 3% interest rater the investment will be worth $| I at the end of 14 yr. Penelope needs to borrow $10.000. She can borrow the money at 4.5% simple interest for 5 yr or she can borrow at 3% with interest compounded continuously for 5 yr. (a) How much total interest would Penelope pay at 4.5% simple interest? (b) How much total interest would Penelope pay at 3% interest compounded continuously? (c) which option results in less total interest? Part: 0 I 3 Part 1 of 3 (a) How much total interest would Penelope pay at 4.5% simple interest? At 4.5% simple interest, the total interest Penelope would pay is $|