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MATH 114 Homework 8 Liberty University answers complete solutions
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Question 1
Write the repeated multiplication in exponential form. Do not simplify.
Question 2
Simplify using the order of operations.
Question 3
Solve the equation by using the square root property. Express your answers in simplified form using integers, fractions or radicals.
Part 1
The equation has solution(s).
Answer
Part 2
The solutions are and .
Question 4
Determine if the statement is true or false.
Exponential functions are very useful in modeling real-world situations like population changes.
Exponential functions are very useful in modeling real-world situations like the motion of a falling object.
Question 5
The richest family in town hires you to do two weeks of work landscaping their estate, but they’re a little bit eccentric. Instead of just making an offer, they give you three choices of payment. With choice 1, your start out at $20 the first day, then $20 is added to the payment for each additional day until the 14th For choice 2, you get one dollar the first day, and your pay in dollars for any day is the square of the number of days into the job. For choice 3, you get a dime the first day, 30 cents the second day, 90 cents the third, and your pay triples every day until the 14th day.
Part 1
(a) Calculate how much money you would make in those 14 days with each option.
You would make with choice 1, $ with choice 2, and with choice 3.
Part 2
(b) Which type of growth is illustrated by each option?
STATUS
Part 1
(a) Calculate how much money you would make in those 14 days with each option.
You would make with choice 1, $ with choice 2, and with choice 3.
Question 6
A new resort opens in Costa Rica that is managed by a retired math professor with a strange sense of humor. Patrons can choose one of three payment options. In each case, the cost decreases each day, and you have to leave when it reaches zero. Option 1: Per-person cost is $500 the first day, $250 the second day, and in general, every day is half as much as the previous day. Option 2: Per-person cost is $300 the first day, and in each successive day, you subtract 10 times the square of the number of days you’ve been there from the previous day’s cost. Option 3: Per-person cost is $200 the first day, then decreases by $25 every day.
Part 1
(a) Which option is the best if your primary goal is to spend the least amount of money? How much would you spend, and for how many days?
If your goal is to spend the least amount of money then the cheapest option is Option . You would spend $ and stay days.
Part 2
(b) Which option is best if your primary goal is to stay the longest?
If your goal is to stay the longest you should choose
Part 3
(c) Which type of decline is illustrated by each option?
Question 7
Graph the exponential function.
Choose the correct graph of the exponential function.
