New clients, Mr. and Mrs. Perez are planning on starting a family and would like to start saving for their child’s college education. The want to know what they can afford when their child is ready for college. They would like to utilize our Yearly College Savings Plan which grows a yearly deposit at an APR of 5% with continuous compounding. From the Perez's - As satisfied customers of Firmament Financial, we of course look to you to help us save for our upcoming child’s college education. We feel that we can afford $200 per month for the 18 years until college in your College Savings Plan. We would prefer to send them to an elite private university if we can afford it. If this is not possible, how much would we need to save each month to afford the elite private university?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 4E
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New clients, Mr. and Mrs. Perez are planning on starting a family and would like to start saving for their child’s college education. The want to know what they can afford when their child is ready for college. They would like to utilize our Yearly College Savings Plan which grows a yearly deposit at an APR of 5% with continuous compounding.

From the Perez's - As satisfied customers of Firmament Financial, we of course look to you to help us save for our upcoming child’s college education. We feel that we can afford $200 per month for the 18 years until college in your College Savings Plan. We would prefer to send them to an elite private university if we can afford it. If this is not possible, how much would we need to save each month to afford the elite private university?

See attached graph - use calculus to define your answer

University/College Type
Cost per Year
Elite Private
$100,000
Elite Public
$80,000
State Private
$60,000
State Public
$40,000
Out of State Community College
$6,000
In-State Community College
$2,500
Transcribed Image Text:University/College Type Cost per Year Elite Private $100,000 Elite Public $80,000 State Private $60,000 State Public $40,000 Out of State Community College $6,000 In-State Community College $2,500
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