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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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In the value of y problem, the answer is y = 26
6 0
3 years ago
What are the side lengths of a 45-45-90 triangle with a hypotenuse of 10root2?
scoundrel [369]

Answer:

10

Step-by-step explanation:

let the lengths of sides=x (each)

x²+x²=(10√2)²

2x²=100×2

x²=100

x=√100=10

6 0
3 years ago
X to the 3rd power= 64/343
leva [86]

Answer:

x = 4/7

Step-by-step explanation:

x^3 = 64/ 343 // - 64/ 343

x^3 - ( 64/ 343 ) = 0

x^3 - 64 / 343 = 0

1*x^3 = 64/ 343 // : 1

x^3 = 64/ 343

x^3 = 64/ 343 // ^ 1/3

x = 4/ 7

5 0
2 years ago
What is 4/8 simplified ​
Vinvika [58]

Answer:

exact form: 1/2

decimal form: 0.5

Step-by-step explanation:

8 0
3 years ago
4 Consider the triangle below.
Maurinko [17]
<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

= \tt x + 1.4 = 2x + 0.1

= \tt x + 1.4 - 0.1 = 2x

=  \tt \: x + 1.3 = 2x

= \tt 1.3 = 2x - x

\color{plum} \hookrightarrow  \tt x = 1.3

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

= \tt x + 1.4

= \tt 1.3 + 1.4

\color{plum} \tt leg \: AM= 2.7 \: inches

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

= \tt 2x + 0.1

=  \tt2 \times 1.3 + 0.1

= \tt 2.6 + 0.1

\color{plum} \tt\: leg \:MG = 2.7 \: inches

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

=  \tt 3x - 0.4

= \tt 3 \times 1.3 - 0.4

= \tt 3.9 - 0.4

\color{plum}\tt \: Base  \: AG = 3.5 \:  inches

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

6 0
3 years ago
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