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never [62]
3 years ago
7

Karen earns a base salary of $2,000 a month. Additionally, she earns 20% commission on all of her sales. Which equation models h

er salary, s, for the month after d dollars of merchandise sold?
Mathematics
2 answers:
astra-53 [7]3 years ago
6 0

Answer: Our required equation will be s=2000+0.2d

Step-by-step explanation:

Since we have given that

Base salary of Karen = $2000

Rate of commission on all of her sales = 20%

We need to write a equation:

Let the total salary of her be 's'

Let the number of dollars of merchandise sold be 'd'

According to question, it becomes

s=2000+\frac{20}{100}\times d\\\\s=2000+0.2d

Hence, our required equation will be s=2000+0.2d

maks197457 [2]3 years ago
4 0

Answer:

if on usatestprep it is A

Step-by-step explanation:

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The mean of the following data values is 32. <br> 19, 23, 35, 41, 42<br> A. True <br> B. False
wariber [46]

Answer:

False i think

Step-by-step explanation:

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3 years ago
What is 17.70 = 7/2m + 13.50 ?
Fantom [35]

<u>answer:</u>  m = 1.2

<u>work:</u>

17.70 = \frac{7}{2} m + 13.50  | subtract 13.50 and move it over

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1.2 = m  | final answer

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3 years ago
4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t
Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

a_{n}=a_{1}r^{n-1}

a_{1} = the first term of the series

r = the geometric ratio

a_{1} would represent the height at which the ball is first dropped. Therefore:

a_{1} = k

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

r=\frac{3}{4}

Our general term would be:

a_{n}=a_{1}r^{n-1}

a_{n}=k(\frac{3}{4}) ^{n-1}

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

k represents the initial height:

k = 235\ ft

n represents the number of times the ball bounces:

n = 6

Plugging this back into our general term of the geometric series:

a_{n}=k(\frac{3}{4}) ^{n-1}

a_{n}=235(\frac{3}{4}) ^{6-1}

a_{n}=235(\frac{3}{4}) ^{5}

a_{n}=55.8\ ft

a_{n} represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. ​

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

S_{n}=\frac{a_{1}(1-r^{n})}{1-r}

We already know these variables:

a_{1}= k = 235\ ft

r=\frac{3}{4}

n = 12

Therefore:

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }

S_{n}=(4)(235)(1-\frac{3}{4} ^{12})

S_{n}=910.22\ ft

8 0
3 years ago
G<br> If 32^2c=8^c+7, what is the value of c?<br> N<br> 01
pantera1 [17]

Answer:

c  ≈  0.00782852 ,  3.99906481

Step-by-step explanation:

6 0
4 years ago
Reading proficiency: An educator wants to construct a 99.5% confidence interval for the proportion of elementary school children
Shkiper50 [21]

Answer:

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, we have that:

p = 0.69

99.5% confidence level

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This is n when M = 0.07. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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(\sqrt{n})^{2} = (18.5658)^{2}

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