An investment firm recommends that a client invest in AAA-, A-, and B-rated bonds. The average yield on AAA bonds is 6%, on A bonds 6.5%, and on B bonds 8%. The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond under the following conditions? Complete parts (a) through (c) below. a. The total investment is $27,000, and the investor wants an annual return of $1780 on the three investments. Let 2x represent the amount invested in AAA bonds, y be the amount invested in A bonds, and x be the amount invested into B bonds. Write a system of linear equations. Choose the correct answer below. YA. 0.06(2x) + 0.065y + 0.08x = 1780 2x +y+x=27,000 O B. 0.06x +0.065y + 0.08x = 27,000 2x +y+x= 1780 OC. 0.06(2x) +0.065y +x= 1780 4x +y+0.08x =27,000 O D. 2x+y+0.08x = 1780 0.06(2x) + 0.065y +x = 27,000 They should invest $ at 6%, S at 6.5%, and S at 8%.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An investment firm recommends that a client invest in AAA-, A-, and B-rated bonds. The average yield on AAA bonds is 6%, on A bonds 6.5%, and on B bonds 8%. The client wants to invest twice as much in AAA bonds as in B bonds. How
much should be invested in each type of bond under the following conditions? Complete parts (a) through (c) below.
...
a. The total investment is $27,000, and the investor wants an annual return of $1780 on the three investments.
Let 2x represent the amount invested in AAA bonds, y be the amount invested in A bonds, and x be the amount invested into
3 bonds. Write a system of linear equations. Choose the correct answer below.
VA. 0.06(2x) + 0.065y +0.08x = 1780
2x +y+x= 27,000
O B. 0.06x+0.065y + 0.08x = 27,000
2x + y +x= 1780
O C. 0.06(2x) + 0.065y +x = 1780
4x + y +0.08x = 27,000
O D. 2x + y +0.08x = 1780
0.06(2x) + 0.065y +x = 27,000
They should invest $
at 6%, $
at 6.5%, and $ at 8%.
Transcribed Image Text:An investment firm recommends that a client invest in AAA-, A-, and B-rated bonds. The average yield on AAA bonds is 6%, on A bonds 6.5%, and on B bonds 8%. The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond under the following conditions? Complete parts (a) through (c) below. ... a. The total investment is $27,000, and the investor wants an annual return of $1780 on the three investments. Let 2x represent the amount invested in AAA bonds, y be the amount invested in A bonds, and x be the amount invested into 3 bonds. Write a system of linear equations. Choose the correct answer below. VA. 0.06(2x) + 0.065y +0.08x = 1780 2x +y+x= 27,000 O B. 0.06x+0.065y + 0.08x = 27,000 2x + y +x= 1780 O C. 0.06(2x) + 0.065y +x = 1780 4x + y +0.08x = 27,000 O D. 2x + y +0.08x = 1780 0.06(2x) + 0.065y +x = 27,000 They should invest $ at 6%, $ at 6.5%, and $ at 8%.
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