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3 years ago

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Mathematics

1 answer:

Rainbow [258]3 years ago

6 0

All of them will be subset of real numbers.

Explanation? — Refer to the attached image.

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You borrow $10,000 for four years at 8% toward the purchase of a car.a. Find the monthly payments and the total interest for the

shutvik [7]

Answer:

monthly payment $244.13

total interest $1,718.24

Find attached amortization schedule

Step-by-step explanation:

The monthly payment on the loan can be determined using the loan amount formula below whereby the formula is rearranged in order to make the monthly payment the subject of the formula:

PV=monthly payment*(1-(1+r)^-n/r

PV=loan amount=$10,000

the monthly payment is the unknown

r=monthly interest rate=8%/12=0.006666667

n=number of monthly payments in 4 years=4*12=48

10,000=monthly payment*(1-(1+0.006666667 )^-48/0.006666667

10,000=monthly payment*(1-(1.006666667 )^-48/0.006666667

10,000=monthly payment*(1-0.726920580280832)/ 0.006666667

10,000=monthly payment*0.273079419719168 /0.006666667

monthly payment=10,000*0.006666667/0.273079419719168=$244.13

total interest=total payments-loan amount

total interest=($244.13*48)-$10,000=$1,718.24

Download xlsx

8 0

3 years ago

EL PERIMETRO DELCUADRADO X ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO Y. EL UCADRADO Y ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO

Keith_Richards [23]

the question in English is

THE SQUARE PERIMETER X IS TWO THIRDS OF THE SQUARE PERIMETER Y. THE PERIMETER OF THE SQUARE Y IS TWO THIRDS OF THE PERIMETER OF THE SQUARE Z. THE AREA OF THE SQUARE X IS 16 CM2 WHAT IS THE AREA OF THE SQUARE Z?

Let

Px--------> the perimeter of square x

Py--------> the perimeter of square y

Pz--------> the perimeter of square z

Ax--------> the area of square x

Az--------> the area of square z

Step 1

Find the length side of the square x

we know that

$Px=\frac{2}{3} Py$ -------> equation A

$Py=\frac{2}{3} Pz$ -------> equation B

$Ax=16\ cm^{2}$

$Ax=x^{2}$

$x^{2}=16$

$x=4\ cm$

Step 2

Find the perimeter of square x

$Px=4x$

substitute the value of x in the formula

$Px=4*4=16\ cm$

Step 3

Find the perimeter of square y

use the equation A

$Px=\frac{2}{3} Py$

solve for Py

$Py=\frac{3}{2} Px$

substitute the value of Px

$Py=\frac{3}{2}16=24\ cm$

Step 4

Find the perimeter of square z

use the equation B

$Py=\frac{2}{3} Pz$

solve for Pz

$Pz=\frac{3}{2} Py$

substitute the value of Py

$Pz=\frac{3}{2} 24=36\ cm$

Step 5

Find the area of square z

we know that

the area of the square z is equal to

$Az=z^{2}$

Find the length side of square z

$Pz=4z$

$Pz=36\ cm$

$4z=36$

$z=9\ cm$

substitute the value of z in the area's formula

$Az=9^{2}=81\ cm^{2}$

therefore

the answer is

the area of the square z is $81\ cm^{2}$

8 0

3 years ago

9x-(-2y)-8x-(-12y) simplify

Elina [12.6K]

Answer:

x+14y

Step-by-step explanation:

9x+2y-8x+12y

x+14y

8 0

4 years ago

Enter the correct answer in the box. Consider the graph of the sixth-degree polynomial function f. Replace the values b, c, and

AVprozaik [17]

Answer: (x - 1)(x + 1)^2(x - 4)^3

Step-by-step explanation:

First, remember that:

in expressions like: (x - b)^n

b is the value of x where the graph intersects the x-axis.

n can represent:

n = 1, the line just goes through the x-axis

n = 2, the line may change the direction (an inflection point), and touch the x-axis in one point.

n = 3, the line may have two inflection points when it intersects the x-axis.

Then we have the expression:

(x-b)(x-c)^2(x-d)^3

b is in the linear part, the graph crosses the x-axis linearly in x = 1.

c is in the quadratic part, the graph crosses the x-axis with one point of inflection at x = -1.

d is in the cubic part, the graph crosses the x-axis with two inflections in x = 4.

Then we can writhe the polynomial as:

f(x) = (x-1)(x-(-1))^2(x-4)^3 = (x - 1)(x + 1)^2(x - 4)^3

4 0

3 years ago

The square root of a number is between 8 and 9. Which of the following could be the value of that number? Is it 8.6, 74, 80, or

aev [14]

Its 80 because if you find perfect square around the number 80 you'd get

√64 and √81
which would be 8 and 9

3 0

4 years ago