Math 1320 Name:D. WilsonExam #2CFriday, October 24, 2008Show all work for partial credit. Good luck!#1 /26#2 /22#3 /12#4 /20#5 /20Total /100You have Exam # .If I do not receive this exam by the end of class, you will receive ascore of zero.1. (a) PART I (6 points each) Solve for x. Round the answer to four decimal places.• 2 ln(9 − 6x) + 8 = 11• 45x+1− 1 = 17(b) PART II A biology lab begins an experiment with 1000 bacteria in a Petri dish. Inseven hours, there are 3500 bacteria.• (10 points) Find the exponential model that gives the number of bacteria in thours.y = Abt• (4 points) How many bacteria will be in the dish after 1 day? Round the answerto the nearest bacteria, and include the units in your answer.2. Jane invests a total of $160,000 into three savings accounts. Account #1 earns 8.2%annual interest; Account #2 earns 6% annual interest; and Account #3 earns 4.8% annualinterest. Jane will earn a total of $9,400 in interest after one year. If she invested $10,000more into the first account than into the second, how much did she invest in each account?(a) (6 points) Clearly define the variables.(b) (12 points) Set up the system of equations.(c) (4 points) Solve the system. You may use a graphing calculator.3. (12 points) A check-cashing company charges a $10 fee to cash a personal post-dated checkfor $150. If the fee is viewed as simple interest on a one-month loan, what is the annualinterest rate? Write the answer as a percentage.4. (a) (10 points) Find the present value of an investment that will be worth $60,000 in 10years, if interest is compounded every 6 months, at a rate of 8% per year.(b) (10 points) Ten years ago, a real estate investment was worth $175,000. The invest-ment steadily lost value at a rate of 0.9% per quarter. What is the investment worthtoday?5. Harry just graduated from college and has landed a full-time job. When Harry retires,he would like his retirement account to pay him $3,500 per month, for 20 years. Hisretirement fund earns 4.8% annually, comp ounded monthly.(a) (10 points) Determine the amount that Harry must have in his retirement fund onthe day he retires.(b) (10 points) In order to save up for his retirement, Harry and his employer will makemonthly deposits into his fund. If Harry is planning to work for 30 years, whatmonthly deposit must he and his employer sink into his retirement fund? Assumethat the fund earns 4.8% compounded