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SOVA2 [1]
1 year ago
5

A bank loaned out $8200, part of it at a rate of 7.9% per year and the rest of it at a rate of 7.4% per year. The total amount o

f interest owed to the bank at the end of one year was $614.67.
Find the amount of money that the bank loaned out at 7.9%.
Mathematics
1 answer:
Lady bird [3.3K]1 year ago
3 0

The amount that the bank loaned out at 7.9% is $1,574.00

How do represent the amounts lent at different rates?

On the assumption that x amount was loaned at 7.9% and that the remaining amount, (8,200-x) was loan out at 7.4%, we can determine the interest charged on each loan as the loan multiplied by the interest rate

interest on 7.9% loan=7.9%*x=0.079x

interest on 7.4% loan=7.4%*(8200-x)

interest on 7.4% loan=606.80-0.074x

total interest=0.079x+606.80-0.074x

total interest=0.005x+606.80

total interest on loans=614.67

614.67=0.005x+606.80

614.67-606.80=0.005x

7.87=0.005x

x=7.87/0.005

x=amount loaned at 7.9%=$1,574.00

y=$8200-$1574

y=$6,626.00

Find out more about bank loan interest rate on:brainly.com/question/20796174

#SPJ1

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Answer:

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Step-by-step explanation:

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3 years ago
What is the height, x, of the equilateral triangle?
e-lub [12.9K]

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. h = 7\sqrt{3} inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

h^2 = l_1^2 + l_2^2

For this problem, we have that:

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Hence the height is found as follows:

h^2 + 7^2 = 14^2

h = \sqrt{147}

h = \sqrt{49 \times 3}

h = 7\sqrt{3} inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

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7 0
2 years ago
Let ​f(x)=x^2 and ​g(x)=x-3. Find ​(f​ º g)(​-1).
ValentinkaMS [17]

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makkiz [27]

Answer:  320

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

Coterminal means it is in the same place on the Unit Circle but with one or more rotations clockwise or counterclockwise.

Note: one rotation is 360°

-760 + 360 = -400

                     -400 + 360 = -40

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320 is between 0 and 360 so this is the angle we are looking for!

7 0
3 years ago
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