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ratelena [41]
2 years ago
12

A sale person is given a choice of two salary plans 1weekly salary of $500 plus 4%commission of sale plan 2 is a straight commis

sion of 8% of sales how much sales did she make in a week for both plans to result in the same salary?
Mathematics
1 answer:
DedPeter [7]2 years ago
4 0

Answer:

$12500

Step-by-step explanation:

Given that:

Salary plan 1:

Weekly salary of $500.

And a commission of 4%.

Salary plan 2:

Straight commission of 8%.

To find:

Weekly sales for which both the plans will make the same sales?

Solution:

Let the weekly sales = $x

As per question statement:

Salary as per Plan 1 = $500 + 4% of x

Salary as per Plan 2 = 8% of x

Putting both the salaries to equal to find the total weekly sales.

$500 + 4% of x = 8% of x

\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500

Therefore, the answer is:

For the sales of $12500, the salary will be same from both the plans.

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Answer:

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Step-by-step explanation:

Data given and notation  

\bar X=3.8 represent the sample mean

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We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:  

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t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549    

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