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Molodets [167]
4 years ago
9

Set up a revenue function, R(n), that can be used to solve the problem, then solve the problem. A business sells n exploding cig

ars, n ≤ 25, at a price of (25 - 0.2n) dollars per cigar. How many exploding cigars must be sold to have a revenue of $120?
Mathematics
1 answer:
alisha [4.7K]4 years ago
5 0

Answer:

• R(n) = n·(25 -0.2n)

• n = 5

Step-by-step explanation:

Revenue is the product of selling price and the number sold. If n cigars are sold at a price of (25-0.2n), then the revenue generated is ...

R(n) = n(25 -0.2n)

__

We want the value of this to be 120, so we want the solution to ...

120 = n(25 -0.2n)

0.2n^2 -25n +120 = 0

n^2 -125n +600 = 0

(n-5)(n-120) = 0

n = 5 . . . . . . . any value above 25 is extraneous

The revenue function is R(n) = n(25-0.2n); 5 cigars must be sold to have a revenue of $120.

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Suppose that when you factor 4t^6-r^10, you get (2t^x+r^y)(2t^x-r^y). determine the sum of t and r.
Alexxandr [17]

Answer:

8

Step-by-step explanation:

Given the expression

4t^6-r^10 we are to factorize in the form;

(2t^x+r^y)(2t^x-r^y)

First we need to factorize (2t^x+r^y)(2t^x-r^y)

=  (2t^x+r^y)(2t^x-r^y)\\= 4t^{2x}-2t^xr^y + 2t^xr^y - r^{2y}\\=  4t^{2x}-r^{2y}

Compare 4t^{2x}-r^{2y} \ with \ 4t^6-r^{10}

4t^{2x} = 4t^6\\t^{2x} = t^6\\equate \ the \ powers\\2x = 6\\x = 3\\

Get y;

r^{2y} = r^{10}\\2y = 10\\y = 5\\Hence \ x + y = 3+5 = 8

Hence the sum of x and y is 8

5 0
3 years ago
scott answered 18 out of 20 questions on his homework assignment correctly. what percent of the questions did he miss ?
vlabodo [156]
20 x 5 = 100 so just 18 x 5 = 90. 100 - 90= 10
the answer is 10%

5 0
3 years ago
Which point of intersection is the solution to the system of equations
Softa [21]

Answer:

B

Step-by-step explanation:

(Looking at the lines in the graph, the second equation is missing a minus sign, and should be y=-\frac{1}{3}x + \frac{2}{3})

To find the intersection point of the pair of linear equations, we just need to equate both values of y.

The equations are:

y=\frac{2}{5}x - \frac{1}{2}

y=-\frac{1}{3}x + \frac{2}{3}

Making the y from one equation equal the y of the other equation, we have:

\frac{2}{5}x - \frac{1}{2} = -\frac{1}{3}x + \frac{2}{3}

\frac{2}{5}x +\frac{1}{3}x  = \frac{2}{3} + \frac{1}{2}

\frac{6}{15}x +\frac{5}{15}x  = \frac{4}{6} + \frac{3}{6}

\frac{11}{15}x  = \frac{7}{6}

x  = \frac{7}{6} * \frac{15}{11} =\frac{35}{22} = 1.591

Then the y-coordinate of the point is found using this x-value in any of the two equations:

y=\frac{2}{5}\frac{35}{22} - \frac{1}{2}

y=\frac{7}{11} - \frac{1}{2}

y=\frac{14}{22} - \frac{11}{22}

y=\frac{3}{22} =  0.136

So the coordinate of the crossing point is (1.591, 0.136)

The point that is in this coordinate in the graph is point B.

6 0
3 years ago
After winning their basketball game, the team
german

Answer:

17.73              Mark me brainliest

Step-by-step explanation:

To get 17.73  

Multiply the whole number by 100. The resulting answer is its value as a percentage. Another way is to add a decimal point after the whole number such as 4, and then move the decimal two spaces to the right, fill in each of those empty spaces with a zero, and add a percentage symbol

What is 18 percent (%) off $98.50?

What is $98.50 minus 18 percent (%) off?

How to calculate 18 percent off $98.50?

How much will you pay for an item where the original price before discount is $98.50 when discounted 18 percent (%)? What is the final or sale price?

$17.73 is what percent off $98.50?

8 0
3 years ago
What is the solution to this system of equations? ​
Vika [28.1K]

Answer:

(-2,2)

Step-by-step explanation:

Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.

Hope this helps ^-^

5 0
3 years ago
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