3rd Edition

ISBN: 9781285607160

Author: Larson

Publisher: CENGAGE CO

Concept explainers

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Question

Chapter 7, Problem 51RE

To determine

Analyse the Investment data.

Expert Solution & Answer

Answer to Problem 51RE

$16000,$13000,$11000

Explanation of Solution

Given information:

Investment Analysis An inheritance of $40,000 was divided among three investments yielding $3500 in interest per year. The interest rates for the three investments were 7% , 9% , and 11% . Find the amount placed in each investment when the second and third were $3000 and $5000 less than the first, respectively

Calculation:

Consider x,y,z be the amount in each investment.

Total investment amount is = $40,000

x+y+z=40,000......(1)

The interest rates 7% , 9% , and 11% total interest rate in a year is $3500 given.

0.07x+0.09y+0.11z=3500......(2)

Multiply equation (2) with 100 .

7x+9y+11z=350000........(2)

Second and third investment amount is less than first by $3000 and $5000 so,

y=x−3000x=y+3000z=x−5000x=z+5000

On equating the above equations.

y+3000=z+5000y−z=2000......(3)

The new system of equations is,

{x+y+z=40,0007x+9y+11z=350,000y−z=2000

Multiply equation (1) with −7 and add to equation (2)

−7x−7y−7z=−280,0007x+9y+11z=350,000_2y+4z=70,000ory+2z=35000

The new system of equations is,

{x+y+z=40,000y+2z=35000y−z=2000

Multiply equation (2) with −1 and add to equation (3)

−y−2z=−35000y−z=2000_−3z=−33000z=11000

Substitute z=11000 equation (2)

y+2(11000)=−35000y=13000

Substitute z=11000 , y=13000 in equation (1)

x+13000+11000=40000x=40000−24000x=16000

Hence, the investment amount will be $16000,$13000,$11000 in to investment scheme of interest rates 7% , 9% , and 11% respectively.

Chapter 7, Problem 50RE

Chapter 7, Problem 52RE

Chapter 7 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Prob. 34E Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - Prob. 52E Ch. 7.1 - Prob. 53E Ch. 7.1 - Prob. 54E Ch. 7.1 - Prob. 55E Ch. 7.1 - Prob. 56E Ch. 7.1 - Prob. 57E Ch. 7.1 - Prob. 58E Ch. 7.1 - Prob. 59E Ch. 7.1 - Prob. 60E Ch. 7.1 - 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