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lianna [129]
3 years ago
15

Paul has $90,000 to invest. His intent is to earn 12% interest on his investment. He can invest part of his money at 7% interest

and part at 13% interest. How much does Paul need to invest in each option to make a total 12% return on his $90,000?
Mathematics
1 answer:
Natalka [10]3 years ago
5 0
If Paul wants to gain 12% interest, he would expect that the money he will have after a certain period of time is:

Future worth = 90000(1+0.12) = $100,800

Let's distribute the future worth to the different interest rates. The solution is as follows:

x + y = 90,000 --> eqn 1
100,800 = x(1+0.07) + y(1+0.13) --> eqn 2

Solving the equations simultaneously,

100,800 = x(1+0.07) + (90,000 - x)(1+0.13)
Solving for x:
x = 15,000
y = 90 000 - 15 000 = 75,000

Therefore, Paul should place $15,000 to the 7% interest and $75,000 to the 13% interest.
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If a + b = c and b = 5, then a + 5 = c is known as the ________ property. Question 18 options: A) substitution B) symmetric C) t
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Answer:

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Vilka [71]

Answer: \bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}

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<u>Step-by-step explanation:</u>

When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:

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1) Group the x's and y's together and move the number to the right side

   4x² - 16x         + 4y² - 24y               = -51        

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3) Complete the square (divide the x and y value by 2 and square it)

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168+2

170

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