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3 years ago

What is the equation of (0,2) and (3,0)

1 answer:

8 0

Let's first find the slope. This is (y_2 - y_1)/(x_2 - x_1), where (x_1, y_1) and (x_2, y_2) are points.

For this problem, our slope is (0 - 2)/(3 - 0) = -2/3.

We can now use the point-slope formula to find the equation of our line:
(y - y_1) = m(x - x_1)
(y - 2) = -2/3(x - 0)
y - 2 = (-2/3)x
y = (-2/3)x + 2

The equation of our line is $\boxed{y = -\frac{2}{3}x + 2}$ .

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Ashley solved the exponential equation 3x + 1 = 15 and her work is shown below. What is the first step she did incorrectly?

Aleks04 [339]

"Step 1: log 3^(x+1) = log15" is the step among the following choices given in the question that she did incorrectly. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.

7 0

3 years ago

Read 2 more answers

Solve by using proper methods. Show your work.

NeX [460]

Answer:

$70,201.38

Step-by-step explanation:

To determine the principal amount, we can use the formula:

$P=\dfrac{A}{(1+\frac{r}{n})^{nt}}$

A = $200,000

r = 7% or 0.07

t = 15 years

n = 12

Now let's substitute our values.

$P=\dfrac{200,000}{(1+\frac{0.07}{12})^{12(15)}}$

$P=\dfrac{200,000}{(1.00583333333)^{12(15)}}$

$P=70,201.38$

So the principal needed to get 200,000 in 15 years is $70,201.38.

7 0

2 years ago

2x + 8y = 5<br> 24x – 4y = –15

slega [8]

2x + 8y = 5

2/ 24x - 4y = -15

2x + 8y = 5

48x - 8x = -30

--------------------------

50x = -25

x = -1/2

2 * -1/2 + 8y = 5

-1 + 8y = 5

8y = 6

y = 6/8

y = 3/4

x = -1/2 y = 3/4

5 0

3 years ago

Maya owns a house valued at $432,600. She still owes $233,458 on her mortgage. How much equity does she have in the house? (3 po

IRISSAK [1]

Answer:

$199,142

Step-by-step explanation:

Given that

The value of the house i.e. assets is $432,600

The mortgage i.e. liability is $233,458

We need to find out the equity

As we know that

The accounting equation is

Total assets = Total liabilities + total equity

$432,600 = $233,458 + total equity

So, the total equity is

= $432,600 - $233,458

= $199,142

7 0

2 years ago

James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in to

gtnhenbr [62]

Answer:

40 ft.

Step-by-step explanation:

Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.

Hope this helps!

3 0

2 years ago