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jekas [21]
3 years ago
9

Total departmental sales in the Housewares Department were $513000.00. A salesperson made 14% of the total departmental sales of

that month and earns 6.5% commission on his sales. Find the dollar amount of commission.
a.
$33345.00

b.
$4691.95

c.
$4668.30

d.
$71820.00

e.
$4683.19

f.
None of the above.
Mathematics
1 answer:
Komok [63]3 years ago
7 0

Answer:

The answer is c. $4668.30

Step-by-step explanation:

1) We know the salesperson sold 14% of the total $513000.00. To get the actual number he sold, we need to multiply 14 times 513000 and divide by 100.

  • Salesperson sales = 14*513000/100 = 71820

2) We also know the salesperson makes 6.5% commission on his sales. We know he sold 71820, his commission is:

  • Commission = 6.5*71820/100 = 4668.30

If you want to know what is the percentage of any given quantity, you need to multiply that percentage times the quantity and divide by 100.

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Answer:

There is only one distinct triangle possible, with m∠N ≈ 33°.   i hope this helps :)

Step-by-step explanation:

In △MNO, m = 20, n = 14, and m∠M = 51°. How many distinct triangles can be formed given these measurements?

There are no triangles possible.

There is only one distinct triangle possible, with m∠N ≈ 33°.

There is only one distinct triangle possible, with m∠N ≈ 147°.

There are two distinct triangles possible, with m∠N ≈ 33° or m∠N ≈ 147°.

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According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that
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Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

P(x)=^nC_xp^x(1-p)^{n-x} , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}

=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145

Hence, the required probability is 0.01145.

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3 years ago
Write an equation of the circle that has a diameter with endpoints (12, 3) and<br> (-18,3).
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The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

<h3>Coordinates of center of circle</h3>

Since the endpoints of the diameter are (x₁, y₁) = (12,3) and (x₂, y₂) = (-18,3), the coordinates of the center of the circle are the midpoints of the diameter. So, the midpoints are

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So, the coordinates of the center of the circle are (-3, 3)

<h3>The radius of the circle</h3>

The radius of the circle r = √[(x₁ - h)² + (y₁ - k)²] where

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So, substituting the values of the variables into r, we have

r = √[(x₁ - h)² + (y₁ - k)²]

r = √[(12 - (-3))² + (3 - 3)²]

r = √[(12 + 3)² + 0²]

r = √[15² + 0²]

r = √15²

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<h3>The equation of the circle</h3>

The equation of a circle with center (h,k) is given by

(x - h)² + (y - k)² = r² where r = radius of circle.

Substituting the values of the variables into the equation, we have

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 3)² = 15²

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x² + 6x + y² - 6y + 9 + 9 - 225 = 0

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The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

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