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loris [4]
2 years ago
15

Piper works at a camera store. He is pain an hourly rate plus 16% commission on everything he sells. One week, he was paid $365

for working 20 hours and selling $1,500 worth of camera equipment. What is his hourly rate?
A) $6.25
B) $7.50
C) $13.56
D) $14.92
Mathematics
2 answers:
sergij07 [2.7K]2 years ago
7 0
Y(t,s)=rt+0.16s  where r=hourly rate and s=sales amount...so

365=20r+0.16(1500)

365=20r+240

20r=125

r=$6.25
MAXImum [283]2 years ago
5 0
I believe it's a) $6.25

Hope this helped!<span />
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For this problem, let x be the number of children and y for adults. Formulate the equations: 1st equation, x + y = 3,200 and 2nd equation 5x + 9y = 24,000. Re-arrange 1st equation into x = 3200 - y. Then, substitute into 2nd equation, 5(3,200-y) + 9y = 24,000. Then, solve for y. The 16,000 - 5y + 9y = 24000. Final answer is, y = 2000 adults went to watch the movie.
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2 years ago
The number of cities in a region over time is represented by the function C(x)=2.9(1.05)^x. The approximate number of people per
N76 [4]

Answer:

B. T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}

Step-by-step explanation:

The approximate population in the region is the product of the number of cities in a region and the approximate number of people per city, that is:

T(x) = C(x)\cdot P(x) (1)

If we know that C(x) = 2.9\cdot (1.05)^{x} and P(x) = (1.05)^{3\cdot x + 5}, then the formula for the approximate population in the region is:

T(x) = [2.9\cdot (1.05)^{x}]\cdot [(1.05)^{3\cdot x + 5}]

T(x) = 2.9\cdot (1.05)^{4\cdot x + 5}

Hence, correct answer is B.

3 0
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Throughout the 2016 Presidential election primaries, Millennials (those aged 20 t 36 years) consistently supported Senator Berni
Dmitrij [34]

Answer:

The 90% confidence interval for the support of Sanders by millenials is between 53% and 57%.

0.53 \leq p \leq 0.57

Step-by-step explanation:

In this question we have to calculate a confidence interval (90% CI) on the proportion of millenials that had a favorable opinion on Sanders.

The sample size is n=1,754.

The p-hat, taken from the poll, is

\hat{p}=0.55

The estimated standard deviation is equal to:

\sigma_p=\sqrt{\frac{p(1-p)}{N}}=\sqrt{\frac{0.55*0.45}{1754}}=0.012

For a 90% CI, the z-value is z=1.645.

Then, the confidence interval is

\hat{p}-z*\sigma_p\leq p\leq\hat{p}-z*\sigma_p\\\\0.55-1.645*0.012\leq p\leq 0.55-1.645*0.012\\\\0.55-0.02 \leq p \leq 0.55+0.02\\\\0.53 \leq p \leq 0.57

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2 years ago
Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us
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The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

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Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

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tekilochka [14]

Answer:

20

Step-by-step explanation:

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