Question

Instructions: This project consists of 10problems, with eachproblemום eing worth 10 points. Properly round your answers. Please show all work in order to receive full or partial credit. Don't forget your units. Good luck! Comments: This project contains similar type problems that were given on the previous exams. However, this is roughly about 80%. Your instructor will mention other important concepts that you should know. 1. Perform the following activities: a) Find the fourth derivative of P(s) -Vs6e9t3 b) Determine where the function gfx) is concave upward and where it is concave downward and find the inflection point(s) if any. gx)x6x3 10 2. For the last 20 years, Daphne has put $1,200 per month into an investment account at 2.35% per year compounded monthly. a) What is the value of her account today? b) Daphne has decided to withdraw her entire investment account in 15 years through equal monthly withdrawals. How much will she receive each month? c) At the same time she decided to start her withdrawal of her investment account, Daphne obtained a 15 year loan at 2.85% per year compounded monthly from the Kahala Bank to purchase her dream art studio on the slopes of Diamond Head. Her monthly payment is exactly the same as the amount she will withdraw from her investment account each month. If she puts a down payment of $50,000, what was the price of the art studio? d) Also at the same time, Daphne decided to replace her car in 7 years. The projected cost of the new car is $24,000. She decide to accumulate this amount by depositing monies at the end of each month into a special automobile account that pays 1.17% per year compounded monthly. 1. What should be the monthly payment into the automobile account? 2. What will be the total payment made? 3. What will be the total interest eaned? e) Daphne has decided to refinance her loan 5 years later. How much does she need to refinance?

Answer 1