4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

Concept explainers

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Question

Chapter 3.4, Problem 95E

To determine

To find out the total amount for the given values of the principal, rate of interest and time compounded annually.

Expert Solution

Explanation of Solution

Given Information:

The given values are-

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 1

Calculation:

Since EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 2 dollars is invested at an annual rate of compounded continuously for years

Therefore, the formula for the amount after EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 5 years is given by

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 6 ......(1)

Consider the following values

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 7

Substitute these values in the above formula

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 8

When the invested amount is doubled, then

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 9

Substitute these values in the (1)

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 10

To determine

To find out the amount if the interest rate is doubled.

Expert Solution

Explanation of Solution

When the interest rate is doubled, then

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 11

Substitute these values in the (1)

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 12

To determine

To find out amount if the number of year is doubled.

Expert Solution

Explanation of Solution

When the number of year is doubled, then

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 13

Substitute these values in the (1)

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 95E , additional homework tip 14

Hence, from the above the three parts, note that ‘doubling the invested amount’ gives the highest value of investment

Chapter 3.4, Problem 94E

Chapter 3.4, Problem 96E

Chapter 3 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.1 - Prob. 52E Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - 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