A student's parents offer him one of two options to receive scholarship money for college. Option A: Deposit $40,000.00 into his savings account and then add an additional $250.00 each day for 30 days or Option B: Deposit $1.00 into his savings account and then double that amount each day for only 16 days When rounded to the nearest cent, how much money is deposited into his savings account on the last day (day 30) for Option A, and how much is deposited into his savings account on the last day (day 16) for Option B? If the student keeps only what is deposited on the last day, which option should he choose? (7 points)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A student's parents offer him one of two options to receive scholarship money for college.

Option A: Deposit $40,000.00 into his savings account and then add an additional $250.00 each day for 30 days

or

Option B: Deposit $1.00 into his savings account and then double that amount each day for only 16 days

When rounded to the nearest cent, how much money is deposited into his savings account on the last day (day 30) for Option A, and how much is deposited into his savings account on the last day (day 16) for Option B? If the student keeps only what is deposited on the last day, which option should he choose? (7 points)

Option A Versus Option B
Option A Option B
Day Amount Deposited Day Amount Deposited
0 $40,000.00 0 $1.00
1 $40,250.00 1 $2.00
2 $40,500.00 2 $4.00


A
A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more
B
A = $48,221.06, B = $17.00; A, because he receives $48,204.06 more
C
A = $48,221.06, B = $65,536.00; B, because he receives $17,314.94 more
D
A = $47,500.00, B = $34,952.53; A, because he receives $12,547.47 more
 
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