You have $70,000 for investment. You will invest S dollars in stocks and B dollars in bonds. You expect a 10% return on stocks and a 2% return on bonds. You want a total return of 5% on your investment. (a) The dollar amount of the total return is 0.05 x 70,000 = $3500. What is the dollar amount of return for stocks, and what is the dollar amount for bonds? (Suggestion: Your answers will involve the variables S and B.) stocks 43750 dollars bonds 26250 dollars (b) Write a system of two equations in two unknowns that determines how much will be invested in each category. (Suggestion: One equation should show the total amount invested. The second equation should show the total dollar return.) S+B - 3500 .025 - .108 = 70,000 S+B = 3500 .10S + .028 = 70,000 S+B = 3500 .02s + .108 - 70,000 S+B = 70.000 .10S + .028 = 3500 S+B = 70,000 .10s - .02B = 3500 (c) Solve the system from part (b) to find the amount invested in stocks and the amount invested in bonds. stocks bonds x

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter5: Linear Inequalities
Section5.5: Solving Inequalities Involving Absolute Value
Problem 30PPS
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A 3.5 Homework - Systems of Equa X
b Reminder Round all answers to
+
A https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=24661514&tags=autosave#question4005688_0
由
You have $70,000 for investment. You will invest S dollars in stocks and B dollars in bonds. You expect a 10% return on stocks and a 2% return on bonds. You want a total return of 5% on your investment.
(a) The dollar amount of the total return is 0.05 x 70,000 = $3500. What is the dollar amount of return for stocks, and what is the dollar amount for bonds? (Suggestion: Your answers will involve the variables
S and B.)
stocks
43750
dollars
bonds
26250
dollars
(b) Write a system of two equations in two unknowns that determines how much will be invested in each category. (Suggestion: One equation should show the total amount invested. The second equation
should show the total dollar return.)
S + B = 3500
.02S - .10B = 70,000
S + B = 3500
.10S + .02B = 70,000
S + B = 3500
.02S + .10B = 70,000
S + B = 70,000
.10S + .02B = 3500
S + B = 70,000
.10S - .02B = 3500
(c) Solve the system from part (b) to find the amount invested in stocks and the amount invested in bonds.
stocks
2$
bonds
12:07 AM
10/21/2020
(1
Transcribed Image Text:A 3.5 Homework - Systems of Equa X b Reminder Round all answers to + A https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=24661514&tags=autosave#question4005688_0 由 You have $70,000 for investment. You will invest S dollars in stocks and B dollars in bonds. You expect a 10% return on stocks and a 2% return on bonds. You want a total return of 5% on your investment. (a) The dollar amount of the total return is 0.05 x 70,000 = $3500. What is the dollar amount of return for stocks, and what is the dollar amount for bonds? (Suggestion: Your answers will involve the variables S and B.) stocks 43750 dollars bonds 26250 dollars (b) Write a system of two equations in two unknowns that determines how much will be invested in each category. (Suggestion: One equation should show the total amount invested. The second equation should show the total dollar return.) S + B = 3500 .02S - .10B = 70,000 S + B = 3500 .10S + .02B = 70,000 S + B = 3500 .02S + .10B = 70,000 S + B = 70,000 .10S + .02B = 3500 S + B = 70,000 .10S - .02B = 3500 (c) Solve the system from part (b) to find the amount invested in stocks and the amount invested in bonds. stocks 2$ bonds 12:07 AM 10/21/2020 (1
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