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harkovskaia [24]
3 years ago
10

A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$28. Opti

on B is a commission rate of ​8% on weekly sales. How much does he need to sell this week to earn the same amount with the two​ options?
Mathematics
2 answers:
irina [24]3 years ago
8 0

Answer:

$9500

Step-by-step explanation:

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week= 19 X 40 = $760

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, 8x/100= 760

Or, 8x= 76000

Or, x= 76000/8= 9,500

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Alchen [17]3 years ago
5 0

Answer:

14,000

Step-by-step explanation:

14,000

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In the largest clinical trial ever​ conducted, 401,974 children were randomly assigned to two groups. The treatment group consis
BARSIC [14]

Answer:

The requirements for the hypothesis test does satisfied the method for testing the claim that from two population proportions the rate of polio is less for children given the salk vaccine.

Step-by-step explanation:

The percentage of children in the treatment group was:

(201229/401974)*100 = 49.9%

The percentage of children given placebo was:

(200745/401974)*100 = 50.1%

The percentage of children that developed polio in the treatment group:

(33/200745)*100 = 0.0164%

The percentage of children that developed polio in the placebo group:

(115/201229)*100 = 0.0571%

The percentage difference between the two group:

((0.0571-0.0164)/0.0571) = 61.62%

Therefore:

The amount of children used for each group was almost divided into half of the total amount of children. The test revealed although very small percentages of the both group developed polio, 68.62% more children given placebo than the children that was given the salk vaccine. Therefore, the study shows that the rate of polio is less for children given the salk vaccine and the the hypthesis test is satisfied.

6 0
3 years ago
2 ft
sdas [7]

Answer:

88/7 ft = 12.6 ft (nearest tenth)

Step-by-step explanation:

Circumference of a circle = 2\pir

<u>Radius of inner circle</u>

Given:

  • circumference of inner circle = 22ft
  • \pi = 22/7

⇒ 22 = 2 x (22/7) x r

⇒ r = 3.5

So the radius of the inner circle is 3.5 ft

<u>Radius of outer circle</u>

If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5

<u>Circumference of outer circle</u>

Therefore, circumference of outer circle:

=  2 x (22/7) x 5.5

= 242/7 ft

<u>Difference between circumferences</u>

Difference = outer circle circumference - inner circle circumference

                  = 242/7 - 22

                  = 88/7 ft

                  = 12.6 ft (nearest tenth)

4 0
2 years ago
Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 20 feet,
Harman [31]

First, let's list the lengths of the sides in descending order.

Lengths of sides of quadrilateral ABCD: 20, 18, 14, a

Lengths of sides of quadrilateral EFGH: b, c, 6, 5

From the listings above, we see that he sides measuring 14 and 6 are corresponding.

We are looking for c which corresponds to 18.

14 is to 6 is as 18 is to c

14/6 = 18/c

7/3 = 18/c

7c = 3 * 18

7c = 54

c = 54/7 = 7 5/7

Answer: 7 5/7 feet

5 0
3 years ago
Read 2 more answers
If x-y = 40 and x+y = 70, then what is the value of x squared -y squared ?
OlgaM077 [116]

Let's see what to do buddy...

____________________________

Reminder:

(a + b)(a - b) =  {a}^{2} -  {b}^{2}

So we need to just Multiply above equations like this :

x + y = 70

x - y = 40

(x + y)(x - y) = 70 \times 40

{x}^{2} -  {y}^{2} = 2800

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0
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Which figure has all of the following:
Marta_Voda [28]

Answer:

Step-by-step explanation:

I think its B and K, they both have 2 sets of parallel lines and they have no congruent sides. Also they look similar. Sorry if this doesn't help.

7 0
2 years ago
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