Question 1 25 pts A woman makes deposits into her IRA, which earns 7.3% compounded continuously, for her retirement in 28 years. She makes an initial deposit of $5000, and she plans to make continuous deposits of $2100 per year from that point until she retires. How many dollars will she have accumulated in her IRA at the time of her retirement? (Round your answer to the penny, i.e. correct to two decimal places.) Warning! Only round your nal answer according to the problem requirements. Be sure to keep as much precision as possible for the intermediate numbers. If you round the intermediate numbers, the accumulated rounding error might make your nal answer wrong. (This is true in general, not just in this problem.) Question 2 25 pts Suppose a rumor is going around a group of 181 people. Initially, only 30 members of the group have heard the rumor, but 3 days later 61 people have heard it. Using a logistic growth model, how many people are expected to have heard the rumor after 8 days total have passed since it was initially spread? (Round your answer to the nearest whole person.) Logistic Growth Model E = kP(C P) dt where k is a constant and C is the carrying capacity of the population P. HINT: 1 1(1+ 1 P(CP)_C P CP) Warning! Only round your nal answer according to the problem requirements. Be sure to keep as much precision as possible for the intermediate numbers. If you round the intermediate numbers, the accumulated rounding error might make your nal answer wrong. (This is true in general, not just in this problem.) Question 3 25 pts Newton's Law of Cooling yields a separable differential equation. 0 True 0 False Question 4 25 pts The logistic equation is not a separable differential equation. 0 True 0 False