# 107finalAS2020.pdf - Math 107 Final Exam A June 2020 Name...

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Math& 107 Final Exam A June 2020 Name ________________________________ This exam is worth 200 points. Please show all of your work. Partial credit will be given for correct work shown and NO credit will be given if no work is shown. 1. HONOR PLEDGE: I will not photograph, share, or discuss this exam with anyone, including anyone who has not taken it yet. I will not get help from anyone while I am taking this exam, although I may ask my instructor questions. Your signature ______________________________________ Date_________________ 2. (8 pts) You join a swimming club that charges a \$400 initiation fee and then \$175 per month. a. Give an explicit formula for your total charges for n months. ______________________________ b. What will your total charges be for 3 years of membership? Total cost for 3 years will be ___________________________ 3. (9 pts) A population of beetles was 13 million in 2017 and the population increases at the rate of 2% per year. Assuming the population follows an exponential growth model, find the following: a. Give an explicit formula for the population of beetles n years after 2002. ___________________________ b. What will the population of beetles be in 2032? 4. (6 pts) The population of Tanzania is growing according to the growth model where n is the number of years after 2018. If growth continues at the same rate, about when
will the population be about 70 million? (Note: you must show your work using logarithms to receive credit for this problem.) About _________________ years after 2018