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babunello [35]
3 years ago
9

I don’t understand! Help me Please!

Mathematics
1 answer:
Valentin [98]3 years ago
8 0

Answer:

1.) Slope = -1.5

2.) y-Intercept  = 11.5

3.) y = -1.5x+ 11.5

Step-by-step explanation:

1.) Slope

Every time x decreases by two units, y increases by three units.

Slope = m = Δy/Δx = 3/(-2) = -1.5

2.) y-intercept

The y-intercept (b) is the value of y when x = 0.

When x = -1, y = 13.

If we increase x by 1 unit, x will equal 0.

The slope tells us that when x increases by 1 unit, y decreases by 1.5 units.

y = 13 - 1.5 = 11.5

The y-intercept is at y = 11.5.

3.) Equation

The equation for a straight line is

y = mx + b

m = -1.5 and b = 11.5, so

y= -1.5 x + 11.5

The figure below shows your points and the graph of y = -1.5x + 11.5, with a y-intercept at x = 0, y = 11.5.

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During the first year, ABC's stock price starts at $ \$100 $ and increases $ 100\% $. During the second year, its stock price go
Artemon [7]

Answer:

Step-by-step explanation:

During the first year, ABC's stock price starts at $100 and increases by 100%. This means that the amount by which the stock increased would be

100/100 × 100 = $100

The new price of the stock would be 100 + 100 = $200

During the second year, its stock price goes down 25% from its price at the end of the first year. This means that the amount by which the stock reduced is

25/100 × 200 = 0.25 × 200 = $50

Therefore, the price of the stock, in dollars, at the end of the second year is

200 - 50 = $150

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3 years ago
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Mandarinka [93]
1.5 glad I could help!
8 0
3 years ago
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Write an absolute value equation to satisfy the given solution set shown on a number line.
aivan3 [116]

Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

0 ≤ x ≤ 8

And we want to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

IX - 4I ≤ 4

To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

Ix - MI  ≤ IMI

Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

8 0
3 years ago
Suppose yoko borrows $3500 at an interest rate of 4% compounded each year Find the amount owed at the end of 1 year
olchik [2.2K]

Amount owed at the end of 1 year is 3640

<h3><u>Solution:</u></h3>

Given that yoko borrows $3500.

Rate of interest charged is 4% compounded each year

Need to determine amount owed at the end of 1 year.

In our case :

Borrowed Amount that is principal P = $3500

Rate of interest r = 4%

Duration = 1 year and as it is compounded yearly, number of times interest calculated in 1 year n = 1

<em><u>Formula for Amount of compounded yearly is as follows:</u></em>

A=p\left(1+\frac{r}{100}\right)^{n}

Where "p" is the principal

"r" is the rate of interest

"n" is the number of years

Substituting the values in above formula we get

\mathrm{A}=3500\left(1+\frac{4}{100}\right)^{1}

\begin{array}{l}{A=\frac{3500 \times 104}{100}} \\\\ {A=35 \times 104} \\\\ {A=3640}\end{array}

Hence amount owed at the end of 1 year is 3640

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3 years ago
A sweater for 36.00 at 7% sales tax
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$36 x 1.07 = $38.52
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