Math 1320 Name:D. WilsonExam #2AWednesday, October 22, 2008Show all work for partial credit. Good luck!#1 /24#2 /28#3 /12#4 /16#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.• (8 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. (a) PART I (6 points) Do not use a calculator to solve this system. Show all work.2x − 7y = 31−4x + 14y = 8(b) PART II Jane invests a total of $160,000 into three savings accounts. Account #1earns 8.2% annual interest; Account #2 earns 6% annual interest; and Account #3earns 4.8% annual interest. Jane will earn a total of $9,400 in interest after one year.If she invested $10,000 more into the first account than into the second, how muchdid she invest in each account?• (4 points) Clearly define the variables.• (12 points) Set up the system of equations.• (6 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) (7 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) (9 points) Ten years ago, a real estate investment was worth $175,000. The investmentsteadily lost value at a rate of 0.9% per quarter. What is the investment worth today?5. A family buys a home for $300,000. They mortgage the entire amount. The mortgage isa 25-year loan, at 6.12% annual interest, compounded monthly.(a) (10 points) Determine the family’s monthly mortgage payment.(b) (5 points) What is the total amount of money that they will pay for their home?(c) (5 points) What is the total interest they will pay on the