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3 years ago

What are the solutions to the equation y2 – 1 = 48?

1 answer:

6 0

${y}^{2} - 1 = 48 \\ {y}^{2} = 49 \\ y = \sqrt{49} \\ y = - 7 \: or \: 7$

${y}^{2} - 1 = 24 \\ {y}^{2} = 25 \\ y = \sqrt{25} \\ y = - 5 \: or \: 5$

Hope this helps. - M

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A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making

Naily [24]

Using it's formula, it is found that the monthly payment should be of $688.49 in order to pay off the debt in 15 years.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

For this problem, the parameters are given as follows:

A = 90000, r = 0.045, n = 15 x 12 = 180.

Hence:

r/12 = 0.045/12 = 0.00375.

Then we solve for A to find the monthly payment, as follows.

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$A = 90000(0.00375)\frac{(1.00375)^{180}}{(1.00375)^{180} - 1}$

A = $688.49

More can be learned about the monthly payment formula at brainly.com/question/22846480

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4 0

1 year ago

Help!!!! please answer!!!

maw [93]

Answer:

116

Step-by-step explanation:

3 to the power of 4 is 81. 7x5 =35+81=116

6 0

2 years ago

There are 125 people and three door prizes. How many ways can three door prizes of $50 each be distributed? How many ways can do

UkoKoshka [18]

We have been given that there are 125 people and three door prizes.

In the first part we need to figure out how many ways can three door prizes of $50 each be distributed?

Since there are total 125 people and there are three identical door prices, therefore, we need to use combinations for this part.

Hence, the required number of ways are:

$_{3}^{125}\textrm{C}=\frac{125!}{122!3!}=\frac{125*124*123}{1*2*3}=317750$

In the next part, we need to figure out how many ways can door prizes of $5,000, $500 and $50 be distributed?

Since we have total 125 people and there are three prices of different values, therefore, the required number of ways can be figured out by using permutations.

$_{3}^{125}\textrm{P}=\frac{125!}{122!}=125*124*123=1906500$

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3 years ago

What is the standard equation of a line whose x- and y-intercept are 5 and 3, respectively?

MakcuM [25]

Answer: 3x + 5y = 15

Step-by-step explanation:

7 0

2 years ago

Instructions: Given the coordinates, Complete the translation (x,y)→(x+2,y−2) C(−5,−1) D(−4,3) E(−3,2) F(−2,0)

MAVERICK [17]

the translations is,

C(-5,-1) → (-3,-3)

D(-4,3) → (-2,1)

E(-3,2) → (-1,0)

F(-2,0) → (0,-2)

What is Translation ?

The changes in the value of the x and y coordinates is known as translation.

Calculation:

The given points are C(-5,-1), E(-4,3), F(-3,2), F(-2,0).

according to the question (x,y)→(x+2,y-2)

this means x coordinate changes by addition of 2

And the y coordinate changes by subtraction of 2

Addition and Subtraction in the Coordinates,

C(-5,-1) → (-5+2,-1-2) → (-3,-3)

D(-4,3) → (-4+2,3-2) → (-2,1)

E(-3,2) → (-3+2,2-2) → (-1,0)

F(-2,0) → (-2+2,0-2) → (0,-2)

Learn more about the translation here:

brainly.com/question/15180519

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8 0

1 year ago