Week 8 Quiz (4.1, 4.2) Name Show your work. No work, no credit. 1. Solve the following elementary exponential equation. (2 points) 5 5x - 5 = 25 Answer: * =_ 2. The population of a certain inner-city area is estimated to be declining according to the model P(t) = 207,000e -0.01t, where t is the number of years from the present. What does this model predict the population will be in 2 years? Round to the nearest person. (2 points) Answer: people 3. The value of a machine, V, at the end of t years is given by V = C(1 - r), where C is the original cost and / is the rate of depreciation. Find the value of a machine at the end of 4 years if the original cost was $2604 and r = 0.2. Round to the nearest cent. (3 points) Answer: $ 4. Arianna invests $5800 in a new savings account which earns 5.1% annual interest, compounded quarterly. What will be the value of her investment after 3 years? Round to the nearest cent. (3 points)