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3 years ago

What is the rate of change for this problem??

Mathematics

1 answer:

Katen [24]3 years ago

6 0

same thing here, let's pick two points, any two points off the table to get the slope.

$\bf \begin{array}{|cc|ll} \cline{1-2} tables&cost\\ \cline{1-2} 1&10\\ 2&18\\ 3&24\\ 4&28\\ \cline{1-2} \end{array} \begin{array}{llll} \\[1em] \leftarrow \\\\ \leftarrow \end{array}\qquad \qquad (\stackrel{x_1}{2}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{28})$

$\bf \stackrel{\textit{\large average rate of change}}{\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{28}-\stackrel{y1}{18}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{10}{2}\implies 5}$

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The length of a rectangle is 3 times longer than it’s width. If the area of the rectangle is 24 square inches, then what is the

faust18 [17]

3w)w = 24in^2 (Tossing out the negative solution for unit measure)

3w^2 = 24

w^2 = 8

w = 2√2in and L = 6√2in L+=+3w

P = 2L + 2w = 16√2in

7 0

3 years ago

If the mass of a proton is 2.34 × 10–14 grams, what is the mass of 1,000 protons?

Alex17521 [72]

Masse of 1 proton: = 2.34 x 10⁻¹⁴

masse of 1000 protons = 2.34 x 10⁻¹⁴ x 1000 or 2.34 x 10 ⁻¹⁴ x 10³ =2.34 x 10⁻¹¹

8 0

3 years ago

Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common sto

Ann [662]

Answer:

for year 1

common stock = $1.75 per share

preferred stock = Zero

for year 2

common stock = $4.25 per share

preferred stock = $0.3 per share

for year 3

common stock = $3 per share

preferred stock = $2 per share

Step-by-step explanation:

step 1

preferred stock value = (40000 shares * $150) = $6000000

common stock value = (100000 shares * $5) = $500000

step 2

For year 1:

Dividend on preferred stock;

$\frac{6000000 * 2}{100}$ = $120000

But total dividend in the question was $70000 therefore total amount of dividend on cumulative preferred stock is $70000.

hence, dividend per share

$= \frac{70000}{40000 shares}$ = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

$\frac{6000000 * 2}{100}$ = $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

$\frac{170000}{40000\ shares}$ = $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

$\frac{30000}{100000\ shares}$ = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

$\frac{6000000 * 2}{100}$ = $120000

total dividend on cumulative preferred stock $120000

dividend per share

$\frac{120000}{40000 shares}$ = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

$\frac{200000}{100000\ shares}$ = $2 per share

3 0

3 years ago

Find the midpoint between each pair of point 15. (-1,-5) and (-5, 7) 16. (5,-2) and (-4, 2)

n200080 [17]

Answer:

Midpoint of (-1,-5) and (-5,7) is (-3,1)

Midpoint of (5,-2) and (-4,2) is (0.5,0)

Step-by-step explanation:

Use the midpoint formula

4 0

3 years ago

The hyperbola with center at (0, 0) opening horizontally, with a = 2, b = 5.

Finger [1]

I dont know if this is what you are looking for but i think this is the answer of the question you are looking for which is the general equation of a horizontal hyperbola:
(x-h)²/a² - (y-k)²/b² = 1 
with 
center (h,k)
What you need to do is replace the data and do the calculations

8 0

3 years ago