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Klio2033 [76]
2 years ago
8

Nico makes annual end-of-year payments of $5,043.71 on a four-year loan with an interest rate of 13 percent. The original princi

pal amount was ________.
Mathematics
1 answer:
natita [175]2 years ago
5 0

We need to find the principal amount on an interest rate of 13% where the end of year payment is $5043.71.

The original amount is \$15002.37.

i = Interest rate = 13%

n = Compounding period = 4 years

E = End of year payment = $5043.71

The required formula is

P=\dfrac{E[1-(1+i)^{-n}]}{i}\\\Rightarrow P=\dfrac{5043.71[1-(1+0.13)^{-4}]}{0.13}\\\Rightarrow P=\$15002.37

The original principal amount was \$15002.37.

Learn more:

brainly.com/question/2284670

brainly.com/question/13900121

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Solve for x: 4(x+5)=3(x-2)-2(x+2)
Zina [86]

Answer:

x = -10

Step-by-step explanation:

Solve the equation by simplifying according to PEMDAS. Then use inverse operations to solve.

4(x+5) = 3(x-2) -2(x+2)

4x + 20 = 3x - 6 - 2x - 4

4x + 20 = x - 10

3x = -30

x = -10

7 0
3 years ago
1. Type your answer below. 2. Type your answer below (no spaces! for example x=19) 3. Type your answer below (no spaces! for exa
Nookie1986 [14]

Answer:

1) 12

2) c=-25

3) x = -16 2/3

Step-by-step explanation:

1) ..........................

  • 6*(4-10+8) =
  • 6*(- 6+8) =
  • 6*2=
  • 12

2) ..........................

  • 34 + 2c = -16
  • 2c = - 16 -34
  • 2c = -50
  • c = -50/2
  • c=-25

3) ..........................

  • 40 = -3x - 10
  • 40+ 10 = -3x
  • -3x = 50
  • x = 50/-3
  • x=-16 2/3
3 0
3 years ago
In the following month 10 percent savings on other cost are expected
charle [14.2K]
Yes agree 10 percent is expected
3 0
2 years ago
a circle with radious of 1cm sits inside a 11cm times 12 cm rectangle what is the area of the shaded region
Nitella [24]

Answer: 128.86cm²

Step-by-step explanation:

The circle is inscribed in the rectangle. To find the shaded portion, subtract he area of the circle from the are of the rectangle.

Area of the rectangle                                  =  11 x 12

                                                                     =  132cm²

Area of the circle with radius of 1cm          =  πr²

                                                                     = 3.142 x 1²

                                                                     = 3.142cm²

Therefore , area of the shaded  region      = 132cm²  -  3.142cm²

                                                                    = 128.86cm²

7 0
3 years ago
Read 2 more answers
I need some help with geometry?​
kramer
39=9x+7-3x+20

Subtract 27 from each side

12=6x
2=x

Now plug in 2 for x to find AB and BC

9x+7= AB
9(2)+7=AB
18+7= AB
25= AB

-3x+20= BC
-3(2)+20= BC
-6+20= BC
14= BC
3 0
3 years ago
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