17).A particular person has tracked the balance of her banking account (B) the last 7 dayssince her paycheck. She has compiled the following data:Balance ($)160280 250 1903Days since paycheck256a) Find a formula for B as a function of t.b) What will her balance be 10 days after her paycheck?c) Explain the meaning of the slope of your formula in context of the problemd) Explain the meaning of the B intercept in context of the problem.

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Answered: 17). A particular person has tracked…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A local car rental company rents out each of its cars on a daily basis, i.e. the car must be returned at the end of the day it is rented. The company has a fixed cost of $300 per day and there is an extra cost (for cleaning, maintenance, etc.) of $40 for each car that is rented out. For each car, the company charges $65 rent for the day. (a) Define an appropriate variable x, and write down the daily cost function C(x). (b) Write down the daily revenue function R(x). (c) Find how many cars must be rented out each day for the company to break even. Find the new rental charge p that would result in a profit of $360 per day for renting out 20 cars each day.
Can you help with parts d, e, and f please? The Admission director for a college far from mart and town believes that an inverse relationship exists between a private college's average discount rate(determined by the average amount of scholarships students receive) and the annual yield (the percentage of admitted students who actually attend). The Director's independent variable is a private college's discount rate measured as a percentage, and the dependent variable is the college's annual yield measured as a percentage. The following results were obtained for a sample of 30 private colleges: x- Discount rate(percentage) - range: 35 to 72 percent y- Annual Yield(percentage) - range: 12 o 81 percent Σxi = 1612 Σyi = 898Σxiyi = 44,377Σxi2 = 89,790Σyi2 = 35,704a. Calculate the sample regression line's slope estimate. Interpret the sample regression line's slope estimate.b. Calculate the sample regression line's intercept estimate. Interpret the sample regression line's intercept…
A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine after 5 years? Select one: O 7500 O 17500 12500 10000 15000
8. Egg production in the United States was 12936.8 million pounds in 2016 up from 9074.4 million pounds in 1996. Assume that the increase is linear. Write a formula for the situation. round values to thousandths. Define variables as Y = Years since 1996and E = Eggs in ? of pounds a. Formula: b. Use your formula and algebra to complete the sentence: The number of eggs produced will surpass 14000 million in the year
The line graph shows the cost of inflation. The graph shows subsequent years from 1982, comparing what $10,000 bought in 1982, to what it would buy in the years shown. There are two possible mathematical functions for the data.
Each month, a salesman earns a base salary of $621.00 plus 5% commission on sales. Use C for total monthlycompensation and S for total monthly sales, both in dollars.A: Find a formula that gives total compensation as a linear function of total monthly sales.B: What monthly sales lead to a total monthly compensation of $3850?C: How is total monthly compensation affected if sales are increased by $5156.00?
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A new car worth $22,000 is depreciating in value by $2000 per year. Complete parts (a) through (c) a. Write a formula that models the car's value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car's value will be $16,000. c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system Then, show your solution to part (b) on the graph. a. A formula that models the car's value, y, in dollars, after x years is (Type an equation.) b. After years, the car's value will be $16,000. (Type a whole number.) c. Choose the correct graph below. OA. OB. Oc. OD. Ay 22,000 Ay 10+ 10- 22,000- 0+ 10 2200 2200 Click to select your answer(s). P Type here to search A 4) C PrtSc Insert Delete F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 F1 F2 @ & Backspace
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13. LANDSCAPE George hired some people to work on his yard one day per week for a month. At the end of the month George received a bill. On the bill he was charged $230 for 12 hours worth of work, including a monthly service fee of $50. a. Assuming that the relationship between the amount of the bill and the number of hours worked is linear, write an equation for this relationship. b. What is the slope of the line? What are the units associated with the slope of the line? What does the slope tell you about the problem situation? C. What is the vertical intercept of the line? What does the vertical intercept tell you about the problem situation?
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