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tangare [24]
2 years ago
15

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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A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a
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Answer:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

Step-by-step explanation:

Confidence interval:

Confidence level of x%

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Between a and b.

Intepretation: We are x% sure that the population mean is between a and b.

In this question:

90%

45 CEO's

Between ($139,048, $154,144).

So

We are 90% sure that the mean salary of all CEO's falls within this interval.

The correct answer is:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

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Curtis types 48 words in 1 minute how many words does Curtis type in 8 minutes
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3 years ago
Given the relation x = y 4 − 9 y 2, identify the x- and y- axis intercepts.
Svetlanka [38]

The x-intercepts are (0,0)

The y-intercepts are (0,0),(0,3),(0,-3)

Explanation:

The relation is x=y^{4} -9y^{2}

To find the x-intercept, let us substitute y=0 in the equation x=y^{4} -9y^{2}, we get,

x=(0)^{4} -9(0)^{2} \\x=0

Thus, the x-intercepts are (0,0)

To find the y-intercept, let us substitute x=0 in the equation x=y^{4} -9y^{2}, we get,

0=y^{4}-9 y^{2}

let us switch sides and solving, we get,

\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,

y=0 and \begin{aligned}y^{2}-9 &=0 \\y^{2} &=9 \\y &=\pm 3\end{aligned}

Thus, the y-intercepts are (0,0),(0,3),(0,-3)

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2 years ago
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