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kaheart [24]
3 years ago
13

Given points A(5, 3) and Z(-1, 7).

Mathematics
1 answer:
ycow [4]3 years ago
5 0

To find the slope of a line given two points, use: (y2 - y1) / (x2 - x1)

A. (7-3) / (-1-5) = (4/-6) or -2/3

B. The slope of a line parallel to another line will be the same, so -2/3

C. The slope of a line perpendicular to another line will be the reciprocal and the sign will also change. Because the slope was -2/3, the slope of the perpendicular changes to 3/2 (positive)

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Find the APR, rounded to the nearest tenth of a percent (one decimal place) for the loan. Purchase a living room set for $4,900
WITCHER [35]

9514 1404 393

Answer:

  14.3%

Step-by-step explanation:

We assume this question is asking for the annual interest rate for an amortized loan that would produce the same total repayment amount as if 8% simple interest were added to the $4900 loan amount. There is no formula for that, but there are a number of apps and spreadsheets that can calculate it. In the attached, we have use a graphing calculator.

The APR is about 14.3%.

_____

The amount to be repaid is calculated using the simple interest formula:

  A = P(1 +rt) = $4900(1 +0.08·4) = $6468

Then the required monthly payment (for 48 months) is ...

  $6468/48 = $134.75

__

The payment amount for a 48-payment loan at rate r on a principal of $4900 will be ...

  A = 4900(r/12)/(1 -(1 +r/12)^-48)

In the attachment, we show the value of r (in percent) that would make the payment amount A be $134.75. We have done this by casting the problem in the form f(r) = 0 and looking for the x-intercept of f(r).

_____

<em>Additional comment</em>

The second attachment uses a spreadsheet for the same purpose. Here, we have used Go.ogle Sheets with a "Goal Seek" add-on to adjust the value in cell B5 so that the computed payment on the loan (cell B6) is the same as the value we calculated in cell B4.

We found the graphing calculator solution to be much quicker, though in that case we actually had to know the formula to use to calculate the payment. The payment formula is built into the spreadsheet.

5 0
3 years ago
One-third of a number, decreased by six equals eight. what is the number
pentagon [3]
Let the number be y.

One third of y = (1/3)*y = y/3

This is decreased by 6;         y/3  - 6

And it equals 8

That means:

y/3 - 6 = 8

y/3 = 8 + 6

y/3 = 14

y = 3*14

y = 42

The number is 42.

I hope this helps.
8 0
3 years ago
Write and solve an equation to find the missing dimension of the prism.
Tema [17]

Answer:

use your instincts

Explanation:

it works for both me and my dad and it  should work for you

7 0
3 years ago
Read 2 more answers
Factor the quadratic expression 9x^2+33x+30
kicyunya [14]
Multiply the values of a and c together;

9*30= 270 <— find prime factors of this

270= 3*3*3*5*2

Now find a way to add these factors in different ways to give 33 (b value)

We can try (3*3*2)+(3*5)=?

18+15=33

Now that you know the numbers, break down the b value.

9x^2+18x+15x+30
9x(x+2)+15(x+2) <— make sure the brackets are the same
(9x+15)(x+2) <— check if this expands to the initial answer

Hope I helped :)
6 0
3 years ago
You might need: Calculator
neonofarm [45]

The percent of owns home is 65.51% and percent of rents home is 34.48% if the total number of US households is 116.

<h3>What is percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the table:

Total number of US households = 71+13+5+27 = 116

Owns home = 71+5 = 76

Percent of owns home = (76/116)×100 = 65.51%

Rents home = 13+27 = 40

Percent of rents home = (40/116)×100 = 34.48%

Thus, the percent of owns home is 65.51% and percent of rents home is 34.48% if the total number of US households is 116.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

3 0
2 years ago
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