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Zanzabum
3 years ago
9

cathy wants to have her resume printed. the printing company charges $22.50 for the first 100 resumes, and then a flat rate for

each additional 100 resumes. cathy pays $46.50 for 300 resumes. how much is the flat rate after the first 100 resumes are purchased?
Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

The total number of resumes Emily prints = 300

She pays $24.50 for the first hundred resumes. Therefore, number of resumes that remain = 300-100= 200 resumes

\Now she pays a flat rate for each additional 100 resumes.

She pay a total of 48.50 for total of 300 resumes. Since she pays 24.50 for the first 100, the amount the remains = 48.50 =24.50 = $24

Therefore, she pays 24 for 2 sets of 100 resumes

Therefore the flat rate after the first 100 resumes = 24/2 = $12

hope this helps

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one of the solutions to x2 − 2x − 15 = 0 is x = −3. what is the other solution? x = −5 x = −1 x = 1 x = 5
Goryan [66]
x^{2} -2x-15=0
P(-15)
s(-2)
x^{2} -5x+3x-15
=x(x-5)+3(x-5)
=(x+3)(x-5)
x=5
3 0
4 years ago
(20n^2+N^3+10n^2) /10N^2
kirill115 [55]
Combine like terms:
n^3 + 20n^ + 10n^2
= n^3 + 30n^

Divide:
=n^3 + 30n^2/10n^2

Factor:
=n^2n + 30n^2
=n^(n + 30)
= 2^2(n + 30)/10n^2

Cancel the common factor n^2:
=n + 10/10

3 0
3 years ago
The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of
AveGali [126]

Answer:

There is sufficient evidence to support the claim that the standard deviation is less than 14.7.

Step-by-step explanation:

From the question we are told that that the null hypothesis is

       H_o  :  \sigma < 14.7

Now given from the question that this null hypothesis was rejected, it mean, in non technical term that there is sufficient evidence to support the claim that the standard deviation is less than 14.7.

3 0
3 years ago
What values of x satisfy the equation 2x^2 -3x +4 =0
BaLLatris [955]

Answer:

(3 ± √23 * i) /4

Step-by-step explanation:

To solve this, we can apply the Quadratic Equation.

In an equation of form ax²+bx+c = 0, we can solve for x by applying the Quadratic Equation, or x = (-b ± √(b²-4ac))/(2a)

Matching up values, a is what's multiplied by x², b is what's multiplied by x, and c is the constant, so a = 2, b = -3, and c = 4

Plugging these values into our equation, we get

x = (-b ± √(b²-4ac))/(2a)

x = (-(-3) ± √(3²-4(2)(4)))/(2(2))

= (3 ± √(9-32))/4

= (3 ± √(-23))/4

= (3 ± √23 * i) /4

6 0
3 years ago
The claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, and the sample statis
Ainat [17]

Answer:

The test statistic Z = 3.125

Step-by-step explanation:

<em>Given Population proportion P = 0.25</em>

<em>Given sample size 'n' = 696</em>

<em>Sample proportion 'p⁻' = 0.30</em>

Test statistic

                 Z = \frac{p^{-}  -P}{\sqrt{\frac{P Q}{n} } }

                 Z = \frac{0.30-0.25}{\sqrt{\frac{0.25 X 0.75}{696} } }  = 3.125

<u><em>Final answer</em></u>:-

The test statistic Z = 3.125

3 0
3 years ago
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