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hoa [83]
3 years ago
9

Please see attached below. Please explain.

Mathematics
2 answers:
vivado [14]3 years ago
5 0

Answer:

15 rentals

Step-by-step explanation:

You can (and may be expected to) set up an equation that equates the total cost at one store to the total cost at the other store. When you work through the solution of this equation, you find that the "break even" number of rentals is the ratio of the difference in fixed cost (setup fee) to the difference in per-use cost (rental charge).

Here, that ratio is ...

(15.00 -7.50)/(2.25 -1.75) = 7.50/0.50 = 15

15 rentals will make the total costs the same.

Artist 52 [7]3 years ago
5 0

so after 15 movie sales they will be equal

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Samuel order four did from an online music stores. Each dvd cost 9.99$. He has a 20% discount code and sales tax is 6.75%. What
Stells [14]


The pre tax cost of the four DVDs  will be:

4 × 9.99 = 39.96

 6.75% tax will amount to 6.75/100 × 39.96 →.0675 × 39.96 = 2.697 or 2.70 rounded off.

Cost of  DVDs after tax will be 39.96 + 3.70 = 42.66 $

20% discount will  be 20/100 × 42.66 →0.2 × 42.66 = 8.53 $

Cost of DVDs with 20% discount  will be 42.66 - 8.53 = 34.13

Rounded off  to the nearest cent, the total cost of the order is 34 $ and 10 cents.

3 0
3 years ago
PLEASE ANSWER ASAP!!
Rufina [12.5K]

Answer:

  1. The instantaneous rate of increase of f(x) at x_{0} = 3 is 3.
  2. One possible equation of this line is y = 3x - 16.
  3. The line is tangent to the graph of y = f(x). The slope of the line is the same as the instantaneous rate of increase of f(x) at x_{0} = 3.

Step-by-step explanation:

<h3>1.</h3>

\begin{aligned}&\lim_{h\to 0}{\frac{f(3+h)-f(h)}{h}}\\ =&\lim_{h\to 0}\frac{1}{h} \cdot [(3^{3} + 3 \times 3^{2}h +3\times 3h^{2} + h^{3})- 4(3^{2} + 2\times 3h + h^{2}) + 2 \\[-1em] &\phantom{\lim_{h\to 0}\frac{1}{h}\cdot []} -(3^{3} -4\times 3^{2} + 2)]\\ = &\lim_{h \to 0}\frac{h^{3} + 5h^{2} +3h}{h}\\=& \lim_{h \to 0}{h^{2}} + \lim_{h \to 0}{5h} + \lim_{h\to 0}{3}\\ =& 3\end{aligned}.

<h3>2.</h3>

f(3) = 3^{3} - 4\times 3^{2} + 2 =-7.

In other words, the graph of y = f(x) passes through the point (3, -7) where x = 3.

The point-slope form of a line in a cartesian plane is:

y - y_0 = m (x - x_0).

For this line,

(3, -7) is the point on the line, while

3 is the slope of the line.

The equation of this line will thus be

y - (-7) = 3(x - 3).

That's equivalent to

y = 3x - 16.

<h3>3.</h3>

Refer to the diagram attached. The line touches the graph of y = f(x) at x = 3 without crossing it. The line here is thus a tangent to the graph of y = f(x) at x = 3. The slope of the line represents the instantaneous rate of increase of f(x) at x_{0} = 3.

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Indira is using a number line to add Negative 1 + (negative 3). She begins by showing –1 on the number line, as shown below.
jarptica [38.1K]
Answer= -4

-1+-3=-4

Step by step-
Add like normal then add the sign since both numbers are negative.
3+1= 4 then add the sign
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AlekseyPX

Answer:

250

Step-by-step explanation:

First with factorise the common factor out first, in this case, its 25.

25x6+25x4 = 25(6+4)

Now using of order of operations we will evaluate the bracket first.

25(6+4) = 25(10) = 25 x 10 = 250

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RUDIKE [14]

Answer:

39 X 10=75

Step-by-step explanation:

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