PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

8th Edition

ISBN: 9781337904285

Author: Larson

Publisher: CENGAGE L

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Question

Chapter 3.1, Problem 76E

To determine

To find equations that model the growth of each investment and graph the models over a 15 year period.

Expert Solution

Explanation of Solution

Given information:

The given statement is:

“There are three options for investing $1200 . The first earns 8% compounded annually, the second earns 8% compounded yearly and the third earns 8% compounded continuously.”

Graph:

The equations that model the growth of each investment are:

Compounded annually: A=1200(1+0.081)t

Compounded quarterly: A=1200(1+0.084)4t

Compounded continuously: A=1200e0.08t

The graph of the equations are:

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 3.1, Problem 76E

To determine

To find which investment will return the highest return after 15 years.

Expert Solution

Answer to Problem 76E

The interest compounded continuously yields the highest return.

The second investment yields $130.64 more than the first investment and the third investment yields $46.90 more than the second investment and $177.54 more than the first investment.

Explanation of Solution

Given information:

The given statement is:

“There are three options for investing $1200 . The first earns 8% compounded annually, the second earns 8% compounded yearly and the third earns 8% compounded continuously.”

As it is seen from the graph, the interest compounded continuously yields the highest return.

The differences in earning among the three investment can be calculated by:

Compounded annually: A=1200(1+0.081)15=3806.60

Compounded quarterly: A=1200(1+0.084)4t=3937.24

Compounded continuously: A=1200e0.08t=3984.14

Hence, the second investment yields $130.64 more than the first investment and the third investment yields $46.90 more than the second investment and $177.54 more than the first investment.

Chapter 3.1, Problem 75E

Chapter 3.1, Problem 77E

Chapter 3 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

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Prob. 111CR Ch. 3 - Prob. 112CR Ch. 3 - Prob. 113CR Ch. 3 - Prob. 114CR Ch. 3 - Prob. 115CR Ch. 3 - Prob. 116CR Ch. 3 - Prob. 117CR Ch. 3 - Prob. 118CR Ch. 3 - Prob. 119CR Ch. 3 - Prob. 120CR Ch. 3 - Prob. 121CR Ch. 3 - Prob. 122CR Ch. 3 - Prob. 123CR Ch. 3 - Prob. 124CR Ch. 3 - Prob. 125CR Ch. 3 - Prob. 126CR Ch. 3 - Prob. 1CT Ch. 3 - Prob. 2CT Ch. 3 - Prob. 3CT Ch. 3 - Prob. 4CT Ch. 3 - Prob. 5CT Ch. 3 - Prob. 6CT Ch. 3 - Prob. 7CT Ch. 3 - Prob. 8CT Ch. 3 - Prob. 9CT Ch. 3 - Prob. 10CT Ch. 3 - Prob. 11CT Ch. 3 - Prob. 12CT Ch. 3 - Prob. 13CT Ch. 3 - Prob. 14CT Ch. 3 - Prob. 15CT Ch. 3 - Prob. 16CT Ch. 3 - Prob. 17CT Ch. 3 - Prob. 18CT Ch. 3 - Prob. 19CT Ch. 3 - Prob. 20CT Ch. 3 - Prob. 21CT Ch. 3 - Prob. 22CT Ch. 3 - Prob. 23CT Ch. 3 - Prob. 24CT Ch. 3 - Prob. 25CT Ch. 3 - Prob. 26CT Ch. 3 - Prob. 27CT Ch. 3 - Prob. 28CT Ch. 3 - Prob. 29CT Ch. 3 - Prob. 30CT Ch. 3 - Prob. 1STP Ch. 3 - Prob. 2STP Ch. 3 - Prob. 3STP Ch. 3 - Prob. 4STP Ch. 3 - Prob. 5STP Ch. 3 - Prob. 6STP Ch. 3 - Prob. 7STP Ch. 3 - Prob. 8STP Ch. 3 - Prob. 9STP Ch. 3 - Prob. 10STP Ch. 3 - Prob. 11STP Ch. 3 - Prob. 12STP Ch. 3 - Prob. 13STP Ch. 3 - Prob. 14STP Ch. 3 - Prob. 15STP Ch. 3 - Prob. 16STP Ch. 3 - Prob. 17STP Ch. 3 - Prob. 18STP Ch. 3 - Prob. 19STP Ch. 3 - Prob. 20STP Ch. 3 - Prob. 21STP Ch. 3 - Prob. 22STP Ch. 3 - Prob. 23STP Ch. 3 - Prob. 24STP Ch. 3 - Prob. 25STP Ch. 3 - Prob. 26STP

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