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2 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

erik [133]2 years ago

7 0

Answer: she invested $2500 at the rate of 10%.

she invested $1500 at the rate of 6%.

Step-by-step explanation:

Lisa invests $x in bond A and $y in bond B.

Lisa invests $4,000 in two types of bonds, bond A and bond B. This means that

x + y = 4000

Bond A offers a 10% return, and bond B offers a 6% return. Therefore,

Interest on bond A is 0.1x

Interest on bond B is 0.06y

Her total return on the investment is $340. It means that

0.1x + 0.06y = 340

Therefore, The system of linear equations defining the situation is

x + y = 4000

0.1x + 0.06y = 340 - - - - - - - - - - -1

Substituting x = 4000 - y into equation 1, it becomes

0.1(4000 - y) + 0.06y = 340

400 - 0.1y + 0.06y = 340

- 0.1y + 0.06y = 340 - 400

- 0.04y = - 60

y = - 60/ - 0.04

y = 1500

x = 4000 - 1500

x = 2500

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$\begin{aligned}y^{4}-9 y^{2} &=0 \\y^{2}\left(y^{2}-9\right) &=0 \\y^{2} &=0, y^{2}-9=0\end{aligned}$

Taking square root,

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