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Gelneren [198K]
3 years ago
13

$13,000 was borrowed from two sources, one that charges 15% simple interest and the other that charges 10% simple interest. If t

he total interest at the end of 1 year was $1750, how much money was borrowed from each source?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

9514 1404 393

Answer:

  • $9,000 at 15%
  • $4,000 at 10%

Step-by-step explanation:

Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...

  0.15(x) + 0.10(13000 -x) = 1750

  0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300

  x = 450(20) = 9000 . . . . . . . . . . multiply by 20

$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.

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\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+

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4

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1

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Display

6 0
3 years ago
A clock has a diameter of 16 inches. Which measurement is closest to the area of the clock in square inches? 804.25 in2 50.27 in
meriva

Answer:

200.96 in2

Step-by-step explanation:

Area of a circle = nr²

n = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

radius = 16 inches / 2 = 8 in

Area = 3.14 x 8² =  200.96 in²

3 0
2 years ago
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