Donation for a CauseYou are running a foundation for streetchildren. Mr. Orleans, a rich benefactor, offerstwo options for his donations:Option A: To give P1000 day 1, P999 on day 2,P998 on day 3, with the process to end after1000 days.Option B: To give P1 on day 1, P2 on day 2, P4on day 3, with the process to end after 19days.You have to tell him today which option totake.a. Which of the two options results in moremoney for the foundation? Show yourcomputation.b. Which option are you going to take? Explainyour choice.

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Answered: Donation for a Cause You are running a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 82E

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Sales Strategy A small business is considering hiring a new sales representative sales rep to market its product in a nearby city. Two pay scales are under consideration. Pay Scale 1 Pay the sales rep a base yearly salary of 10, 000 plus a commission of 8 of total yearly sales. Pay Scale 2 Pay the sales rep a base yearly salary of 13, 000 plus a commission of 6 of total yearly sales. a. For each of the pay scales above, use a formula to express the total yearly earnings for the sales rep as a function of total yearly sales. Be sure to identify clearly what the letters that you use mean. b. What amount of total yearly sales would result in the same total yearly earnings for the sales rep no matter which of the two pay scales is used? c. On the same screen, plot the graphs of the functions you made in part a. Copy the picture onto the paper you turn in. Be sure to label the horizontal and vertical axes, and be sure your picture includes the number you found in part b. d. If you were a sales rep negotiating for the new position, under what conditions would you prefer pay scale 1? Under what conditions would you prefer pay scale 2?
The Advantage Cash Card At the student union on a certain campus, you can save on food purchases by using the Advantage Cash Card. You deposit money into an Advantage Cash account and are issued a credit card the you use to purchase food. The card has several advantages: If you open your Advantage Cash account for 200 or more, a 5% bonus is added to your account balance. When you use your Advantage Cash Card, you receive 5% off the retail price of any food purchase. When you buy food with cash, you must pay a sales tax of 7.375%. With the Advantage Cash Card, you pay no sales tax. a.An item retails for 1.00. What do you pay if you use your Advantage Cash Card? b.An item retails for 1.00. What do you pay if you use cash? Round your answer to five decimal places for use in part d. c.What retail value of food will you be able to purchase if you open an Advantage Cash account for 300? Suggestion: Dont forget your 5% bonus and use the results of part a d.What retail value of food would you be able to purchase with 300 if you spend it as cash at the food court? Suggestion: Use the results of part b e.Calculate the percentage increase from your answer for part d to your answer for part c. Explain in practical terms the meaning of this percentage.

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