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Vika [28.1K]
3 years ago
9

Video games sold: x

Mathematics
1 answer:
sammy [17]3 years ago
5 0

Answer:

Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.

Step-by-step explanation:

In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x  for the sale of x video games

As we know profit = sale price - cost price

Therefore P(x) = R(x) - C(x)

Or P(x) = (R-C)x = 60x - (12+7x)

P(x) = 60x -12 - 7x

P(x) = 53x -12

Now the profit on selling 20 video games will be

P(20) = 53×20 -12 = 1060 -12 = 1048.

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Gary is 25 years old. That is 7 more than
SpyIntel [72]

Answer:

2<em>x </em>+ 7 = 25

<em>x </em>= 7

Step-by-step explanation:

Gary: 25

Sean: <em>x</em>

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

Let's break down the sentence into mathematical terms

Gary <u>is</u> 25 years old. That <u>is</u> 7 more than twice <u>Sean's age.</u>

In math, is means equal to. It is represented with an equal sign (=)

Gary = 25. 25 = 7 more than twice <u>Sean's age.</u>

7 more is represented by 7 +

Gary = 25. 25 = 7 + than twice <u>Sean's age.</u>

Twice means double which is 2 ·

Gary = 25. 25 = 7 + 2 · <u>Sean's Age</u>

<u>Sean's Age</u> will be represented by <em>x</em>

Gary = 25. 25 = 7 + 2<em>x</em>

We don't need it to say<em> "Gary = 25" </em>in our equation.

25 = 7 + 2<em>x</em>

Let's rewrite it with the associative property.

2<em>x </em>+ 7 = 25

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

Now, solve

2<em>x </em>+ 7 = 25

<em>-7           -7</em>

2<em>x</em> = 18

<em>÷</em><em>2  </em><em>÷</em><em>2</em>

<em>x </em>= 7

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

Sean is 7 years old.

5 0
2 years ago
If <img src="https://tex.z-dn.net/?f=f%28x%29%3D3%5Ex" id="TexFormula1" title="f(x)=3^x" alt="f(x)=3^x" align="absmiddle" class=
SOVA2 [1]

$f(x)+f(x+1) \stackrel{1}{=} 3^x+3^{x+1} \stackrel{2}{=} 3^x+3^x\cdot3^1\stackrel{3}{=}3^x+3\cdot3^x\stackrel{4}{=}4\cdot3^x\stackrel{5}{=}4\cdot f(x)

1) Substitution from definition.

2) We use $x^{a+b}=x^a\cdot x^b

3) We are changing the order of 3 and 3^x.

4) We add 1 and 3 3^x and we get 4\cdot 3^x

5) Substitution from definition (but the other way than at the beginning).

8 0
3 years ago
PLEASE HELPPPP I DONT KNOW HOW TO DO THIS
KonstantinChe [14]

Answer:

I'm not an expert here, this is a best guess!

But I would say if there is no chance that of him incurring excess costs of less than $500, then he knows without insurance he'll end up paying at least $500, possibly more out of pocket, without the insurance.

so I would say He ends up spending the least amount out if pocket by going with option A. for $75. that's $75 out of pocket with no deductible and it covers his $500+ in excess costs....B and C would also cover the excess, but would each cost $140 or $275 out of pocket at the end of the day....

with that being said, I'd say it's worth it to buy the insurance....even if he doesn't have any excess costs, he's spent $75 dollars for the peace of mind to know he's covered either way, and if he does incur the excess costs he's spent $75 rather that $500+....Even if the excess charges are only $100, which it says there is no chance of happening, but still, then he's still saved $25 altogether. Unless I'm reading it wrong, Option A saves him the most money either way, and is worth it to buy the insurance!

3 0
3 years ago
A) A man spends 1/5 part of his income on his life insurance and 1/3 on food. If he deposites the remaining sum of Rs 8400 in a
svp [43]
The answer is Rs 126000.

Explanation:

8400 ÷ 1/3 ÷ 1/5

= 8400 * 3/1 * 5/1

= 8400 * 3 * 5

= 126000
6 0
3 years ago
NEED AN ANSWER PLZ!!!Mrs. Brown has 7 more boys than girls in her class and has a total of 29 students. Which of the following s
marshall27 [118]

Answer:

b = g + 7 and b+g= 29. is the answer

5 0
3 years ago
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