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High School Math Algebra High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

How much money was invested in each fund if a teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return rate of 12%, the income fund had a return rate of 8% and the money market fund had a return rate of 5%. The teacher invested twice as much in the income fund as in the money market fund. He invested $2000 in growth fund, $2000 in income fund and $1000 in market fund. Given information: A teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return rate of 12%, the income fund had a return rate of 8% and the money market fund had a return rate of 5%. The teacher invested twice as much in the income fund as in the money market fund. Calculation: Consider the given information. Let x represents the amount invested in growth fund, y represents the amount invested in income fund and z represented the amount invested in money market fund. He invested $5000 in three funds. x + y + z = 5000 …(1) He invested twice as much in the income fund as in the money market fund. y = 2 z …(2) After a year he had $5450. The growth fund had a return rate of 12%, the income fund had a return rate of 8% and the money market fund had a return rate of 5%. So the income earned is: 0.12 x + 0.08 y + 0.05 z = 5450 − 5000 0.12 x + 0.08 y + 0.05 z = 450 12 x + 8 y + 5 z = 45000 ... 3 Multiply equation 1 by 12 and subtract to equation 3. 12 x + 8 y + 5 z − 12 x + 12 y + 12 z = 45000 − 60000 4 y + 7 z = 15000 ... 4 By equation 2 and 4: 4 2 z + 7 z = 15000 15 z = 15000 z = 1000 Put value of z in equation 2. y = 2 1000 = 2000 Put value of y and z in equation 1. x + 2000 + 1000 = 5000 x = 2000 He invested $2000 in growth fund, $2000 in income fund and $1000 in market fund.

How much money was invested in each fund if a teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return rate of 12%, the income fund had a return rate of 8% and the money market fund had a return rate of 5%. The teacher invested twice as much in the income fund as in the money market fund. He invested $2000 in growth fund, $2000 in income fund and $1000 in market fund. Given information: A teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return rate of 12%, the income fund had a return rate of 8% and the money market fund had a return rate of 5%. The teacher invested twice as much in the income fund as in the money market fund. Calculation: Consider the given information. Let x represents the amount invested in growth fund, y represents the amount invested in income fund and z represented the amount invested in money market fund. He invested $5000 in three funds. x + y + z = 5000 …(1) He invested twice as much in the income fund as in the money market fund. y = 2 z …(2) After a year he had $5450. The growth fund had a return rate of 12%, the income fund had a return rate of 8% and the money market fund had a return rate of 5%. So the income earned is: 0.12 x + 0.08 y + 0.05 z = 5450 − 5000 0.12 x + 0.08 y + 0.05 z = 450 12 x + 8 y + 5 z = 45000 ... 3 Multiply equation 1 by 12 and subtract to equation 3. 12 x + 8 y + 5 z − 12 x + 12 y + 12 z = 45000 − 60000 4 y + 7 z = 15000 ... 4 By equation 2 and 4: 4 2 z + 7 z = 15000 15 z = 15000 z = 1000 Put value of z in equation 2. y = 2 1000 = 2000 Put value of y and z in equation 1. x + 2000 + 1000 = 5000 x = 2000 He invested $2000 in growth fund, $2000 in income fund and $1000 in market fund.

Solution Summary: The author analyzes how a teacher invested 5000 in three funds, with 12%, 8%, and 5% return rates. He invested twice as much in the growth fund, income fund and money market fund.

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

15th Edition

ISBN: 9780133281163

Author: Prentice Hall

Publisher: Prentice Hall

See similar textbooks

Expert Solution & Answer

Chapter 3, Problem 13CT

Solution

To Calculate: How much money was invested in each fund if a teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return rate of 12%, the income fund had a return rate of 8% and the money market fund had a return rate of 5%. The teacher invested twice as much in the income fund as in the money market fund.

He invested $2000 in growth fund, $2000 in income fund and $1000 in market fund.

Given information:

A teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return rate of 12%, the income fund had a return rate of 8% and the money market fund had a return rate of 5%. The teacher invested twice as much in the income fund as in the money market fund.

Calculation:

Consider the given information.

Let x represents the amount invested in growth fund, y represents the amount invested in income fund and z represented the amount invested in money market fund.

He invested $5000 in three funds.

x+y+z=5000 …(1)

He invested twice as much in the income fund as in the money market fund.

y=2z …(2)

After a year he had $5450. The growth fund had a return rate of 12%, the income fund had a return rate of 8% and the money market fund had a return rate of 5%.

So the income earned is:

0.12x+0.08y+0.05z=5450−50000.12x+0.08y+0.05z=45012x+8y+5z=45000 ...3

Multiply equation 1 by 12 and subtract to equation 3.

12x+8y+5z−12x+12y+12z=45000−600004y+7z=15000 ...4

By equation 2 and 4:

42z+7z=1500015z=15000z=1000

Put value of z in equation 2.

y=21000=2000

Put value of y and z in equation 1.

x+2000+1000=5000x=2000

He invested $2000 in growth fund, $2000 in income fund and $1000 in market fund.

Chapter 3, Problem 12CT

Chapter 3, Problem 14CT

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

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

Ch. 3.1 - Prob. 11PPSE Ch. 3.1 - Prob. 12PPSE Ch. 3.1 - Prob. 13PPSE Ch. 3.1 - Prob. 14PPSE Ch. 3.1 - Prob. 15PPSE Ch. 3.1 - Prob. 16PPSE Ch. 3.1 - Prob. 17PPSE Ch. 3.1 - Prob. 18PPSE Ch. 3.1 - Prob. 19PPSE Ch. 3.1 - Prob. 20PPSE Ch. 3.1 - Prob. 21PPSE Ch. 3.1 - Prob. 22PPSE Ch. 3.1 - Prob. 23PPSE Ch. 3.1 - Prob. 24PPSE Ch. 3.1 - Prob. 25PPSE Ch. 3.1 - Prob. 26PPSE Ch. 3.1 - Prob. 27PPSE Ch. 3.1 - Prob. 28PPSE Ch. 3.1 - Prob. 29PPSE Ch. 3.1 - Prob. 30PPSE Ch. 3.1 - Prob. 31PPSE Ch. 3.1 - Prob. 32PPSE Ch. 3.1 - Prob. 33PPSE Ch. 3.1 - Prob. 34PPSE Ch. 3.1 - Prob. 35PPSE Ch. 3.1 - Prob. 36PPSE Ch. 3.1 - Prob. 37PPSE Ch. 3.1 - Prob. 38PPSE Ch. 3.1 - Prob. 39PPSE Ch. 3.1 - Prob. 40PPSE Ch. 3.1 - Prob. 41PPSE Ch. 3.1 - Prob. 42PPSE Ch. 3.1 - Prob. 43PPSE Ch. 3.1 - Prob. 44PPSE Ch. 3.1 - Prob. 45PPSE Ch. 3.1 - Prob. 46PPSE Ch. 3.1 - Prob. 47PPSE Ch. 3.1 - Prob. 48PPSE Ch. 3.1 - Prob. 49PPSE Ch. 3.1 - Prob. 50PPSE Ch. 3.1 - Prob. 51PPSE Ch. 3.1 - Prob. 52PPSE Ch. 3.1 - Prob. 53PPSE Ch. 3.1 - Prob. 54PPSE Ch. 3.1 - 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Prob. 20PPSE Ch. 3.5 - Prob. 21PPSE Ch. 3.5 - Prob. 22PPSE Ch. 3.5 - Prob. 23PPSE Ch. 3.5 - Prob. 24PPSE Ch. 3.5 - Prob. 25PPSE Ch. 3.5 - Prob. 26PPSE Ch. 3.5 - Prob. 27PPSE Ch. 3.5 - Prob. 28PPSE Ch. 3.5 - Prob. 29PPSE Ch. 3.5 - Prob. 30PPSE Ch. 3.5 - Prob. 31PPSE Ch. 3.5 - Prob. 32PPSE Ch. 3.5 - Prob. 33PPSE Ch. 3.5 - Prob. 34PPSE Ch. 3.5 - Prob. 35PPSE Ch. 3.5 - Prob. 36PPSE Ch. 3.5 - Prob. 37PPSE Ch. 3.5 - Prob. 38PPSE Ch. 3.5 - Prob. 39PPSE Ch. 3.5 - Prob. 40PPSE Ch. 3.5 - Prob. 41PPSE Ch. 3.5 - Prob. 42PPSE Ch. 3.5 - Prob. 43PPSE Ch. 3.5 - Prob. 44PPSE Ch. 3.5 - Prob. 45PPSE Ch. 3.6 - Prob. 1LC Ch. 3.6 - Prob. 2LC Ch. 3.6 - Prob. 3LC Ch. 3.6 - Prob. 4LC Ch. 3.6 - Prob. 5LC Ch. 3.6 - Prob. 6LC Ch. 3.6 - Prob. 7LC Ch. 3.6 - Prob. 8PPSE Ch. 3.6 - Prob. 9PPSE Ch. 3.6 - Prob. 10PPSE Ch. 3.6 - Prob. 11PPSE Ch. 3.6 - Prob. 12PPSE Ch. 3.6 - Prob. 13PPSE Ch. 3.6 - Prob. 14PPSE Ch. 3.6 - Prob. 15PPSE Ch. 3.6 - Prob. 16PPSE Ch. 3.6 - Prob. 17PPSE Ch. 3.6 - Prob. 18PPSE Ch. 3.6 - Prob. 19PPSE Ch. 3.6 - Prob. 20PPSE Ch. 3.6 - Prob. 21PPSE Ch. 3.6 - Prob. 22PPSE Ch. 3.6 - Prob. 23PPSE Ch. 3.6 - Prob. 24PPSE Ch. 3.6 - Prob. 25PPSE Ch. 3.6 - Prob. 26PPSE Ch. 3.6 - Prob. 27PPSE Ch. 3.6 - Prob. 28PPSE Ch. 3.6 - Prob. 29PPSE Ch. 3.6 - Prob. 30PPSE Ch. 3.6 - Prob. 31PPSE Ch. 3.6 - Prob. 32PPSE Ch. 3.6 - Prob. 33PPSE Ch. 3.6 - Prob. 34PPSE Ch. 3.6 - Prob. 35PPSE Ch. 3.6 - Prob. 36PPSE Ch. 3.6 - Prob. 37PPSE Ch. 3.6 - Prob. 38PPSE Ch. 3.6 - Prob. 39PPSE Ch. 3.6 - Prob. 40PPSE Ch. 3.6 - Prob. 41PPSE Ch. 3.6 - Prob. 42PPSE Ch. 3.6 - Prob. 43PPSE Ch. 3.6 - Prob. 44PPSE Ch. 3.6 - Prob. 45PPSE Ch. 3.6 - Prob. 46PPSE Ch. 3.6 - Prob. 47PPSE Ch. 3.6 - Prob. 48PPSE Ch. 3.6 - Prob. 49PPSE Ch. 3.6 - Prob. 50PPSE Ch. 3.6 - Prob. 51PPSE Ch. 3.6 - Prob. 52PPSE Ch. 3.6 - Prob. 53PPSE Ch. 3.6 - Prob. 54PPSE Ch. 3.6 - Prob. 55PPSE Ch. 3.6 - Prob. 56PPSE Ch. 3.6 - Prob. 57PPSE Ch. 3.6 - Prob. 58PPSE Ch. 3 - Prob. 1GR Ch. 3 - Prob. 2GR Ch. 3 - Prob. 3GR Ch. 3 - Prob. 4GR Ch. 3 - Prob. 5GR Ch. 3 - Prob. 6GR Ch. 3 - Prob. 7GR Ch. 3 - Prob. 8GR Ch. 3 - Prob. 9GR Ch. 3 - Prob. 10GR Ch. 3 - Prob. 11GR Ch. 3 - Prob. 12GR Ch. 3 - Prob. 13GR Ch. 3 - Prob. 14GR Ch. 3 - Prob. 15GR Ch. 3 - Prob. 16GR Ch. 3 - Prob. 17GR Ch. 3 - Prob. 18GR Ch. 3 - Prob. 19GR Ch. 3 - Prob. 20GR Ch. 3 - Prob. 21GR Ch. 3 - Prob. 22GR Ch. 3 - Prob. 23GR Ch. 3 - Prob. 1MCQ Ch. 3 - Prob. 2MCQ Ch. 3 - Prob. 3MCQ Ch. 3 - Prob. 4MCQ Ch. 3 - Prob. 5MCQ Ch. 3 - Prob. 6MCQ Ch. 3 - Prob. 7MCQ Ch. 3 - Prob. 8MCQ Ch. 3 - Prob. 9MCQ Ch. 3 - Prob. 10MCQ Ch. 3 - Prob. 11MCQ Ch. 3 - Prob. 12MCQ Ch. 3 - Prob. 13MCQ Ch. 3 - Prob. 14MCQ Ch. 3 - Prob. 15MCQ Ch. 3 - Prob. 16MCQ Ch. 3 - Prob. 17MCQ Ch. 3 - Prob. 18MCQ Ch. 3 - Prob. 1CV Ch. 3 - Prob. 2CV Ch. 3 - Prob. 3E Ch. 3 - Prob. 4E Ch. 3 - Prob. 5E Ch. 3 - Prob. 6E Ch. 3 - Prob. 7E Ch. 3 - Prob. 8E Ch. 3 - Prob. 9E Ch. 3 - Prob. 10E Ch. 3 - Prob. 11E Ch. 3 - Prob. 12E Ch. 3 - Prob. 13E Ch. 3 - Prob. 14E Ch. 3 - Prob. 15E Ch. 3 - Prob. 16E Ch. 3 - Prob. 17E Ch. 3 - Prob. 18E Ch. 3 - Prob. 19E Ch. 3 - 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