(a) Explanation Given information: The provided model is f ( t ) = 450 t for 18 years at 7 % and tuition cost is $ 30 , 452 for one year. The provided equation is shown below: Future value = e r t 1 ∫ 0 t 1 f ( t ) e − r t d t Consider the future value from exercise 79 and 80 , Future value = e r t 1 ∫ 0 t 1 f ( t ) e − r t d t Where r is interest rate and t 1 is time period. Here the Interest rate that is, r = 7 % = 0.07 The time period that is t 1 = 18 years and model is f ( t ) = 450 t . Now substitute all the values in the future formula as: Future value = e ( 0.07 ) ⋅ 18 ∫ 0 18 450 t e − ( 0.07 ) t d t = 450 e ( 1.26 ) ∫ 0 18 t e − ( 0.07 ) t d t Now integration with respect to t and use integration by parts as: Let u = t and v = e − ( 0 (b) To determine Whether the fund is sufficient or not to cover the tuition cost after four years. If tuition cost is $ 26 , 537 for one year. If f ( t ) = 450 t for 18 years at 7 % annual interest rate by using the equation from exercise 79 and 80 .

MindTap Math, 1 term (6 months) Printed Access Card for Larson’s Calculus: An Applied Approach, 10th

10th Edition

ISBN: 9781305967120

Author: Larson, Ron

Publisher: Cengage Learning

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Chapter 6.1, Problem 82E

(a)

To determine

Whether the fund is sufficient or not to cover the tuition cost after four years. If tuition cost is $30,452 for one year. If f(t)=450t for 18 years at 7% annual interest rate.

(b)

To determine

Whether the fund is sufficient or not to cover the tuition cost after four years. If tuition cost is $26,537 for one year. If f(t)=450t for 18 years at 7% annual interest rate by using the equation from exercise 79 and 80.

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Chapter 6.1, Problem 81E

Chapter 6.2, Problem 1CP

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MindTap Math, 1 term (6 months) Printed Access Card for Larson’s Calculus: An Applied Approach, 10th

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Whether the fund is sufficient or not to cover the tuition cost after four years. If tuition cost is $ 30 , 452 for one year. If f ( t ) = 450 t for 18 years at 7 % annual interest rate.

Solution Summary: The author explains how to determine whether the fund is sufficient or not to cover the tuition cost after four years.