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astraxan [27]
2 years ago
10

PLEASE HELP, WILL MARK BRAINLIEST

Mathematics
1 answer:
Advocard [28]2 years ago
6 0

Answer:

principal of first loan = $7,000

principal of second loan = $5,000

Step-by-step explanation:

Let x = principal of first loan

Let y = principal of second loan

Given:

  • Interest rate on first loan = 8% = 0.08
  • Interest rate on second loan = 9% = 0.09
  • Total amount of interest paid = $1,010

Create two equations with the given information:

Equation 1:  x + y = 12000

Equation 2:  0.08x + 0.09y = 1010

Rewrite Equation 1:

⇒ x = 12000 - y

Substitute into Equation 2 and solve for y:

⇒ 0.08(12000 - y) + 0.09y = 1010

⇒ 960 - 0.08y + 0.09y = 1010

⇒ 0.01y = 50

⇒ y = 5000

Substitute found value of y into Equation 1 and solve for x:

⇒ x + 5000 = 12000

⇒ x = 7000

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dmitriy555 [2]

Answer: choice B, 40.5 degrees

The triangle is isosceles based on the fact that AC = BC (the tick marks are the same). The angles opposite the congruent sides are also congruent

angle A = angle B = x for some unknown number x

The three angles A,B,C add to 180, so,

A+B+C = 180

x+x+99 = 180

2x+99 = 180

2x = 180-99

2x = 81

x = 81/2

x = 40.5

So angle A and angle B are both 40.5 degrees

Check:

A+B+C = 180

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180 = 180 answer is confirmed

==============================

Edit

The sides with the two tick marks are the same length, so 7x-4 is the same as length as 31

7x-4 = 31

7x = 31+4

7x = 35

x = 35/7

x = 5

Answer is choice B) 5

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3 years ago
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