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4 years ago

Evaluate the factorial expression. 14!/10!

Mathematics

2 answers:

Jlenok [28]4 years ago

8 0

Answer:

Step-by-step explanation 14! / 10!

14 × 13 × 12 × 11 × 10! / 10!

14 × 13 × 12 × 11

24024

Ivanshal [37]4 years ago

3 0

Answer:

24024

Step-by-step explanation:

14! / 10!

14 × 13 × 12 × 11 × 10! / 10!

14 × 13 × 12 × 11

24024

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Help with this question, please!

uranmaximum [27]

Answer:

52 ft

Step-by-step explanation:

For each chord, the product of segment lengths is a constant. We can find that constant as the product of the segment lengths of the bisected chord:

(24 ft)·(24 ft) = 576 ft^2

Then the missing segment length (DX) of the diameter chord is ...

DX·(36 ft) = 576 ft^2

DX = (576 ft^2)/(36 ft) = 16 ft

So, the total length of the diameter chord is ...

DX +XL = 16 ft + 36 ft

DL = 52 ft

_____

We know DL is a diameter because the perpendicular bisector of any chord intersects the center of the circle.

5 0

3 years ago

Cullumber company had $170,000 of net income in 2021 when the selling price per unit was $152, the variable costs per unit were

taurus [48]

The number of units sold in 2021 = 13,300 units.

The number of units that would have to be sold in 2022 to reach the stockholder's desired profit level = 15,200 units.

Assuming that Cullumber company sells the same number of units in 2022 as it did in 2021, the selling price in order to reach the stockholder's desired profit level = $160.

The net income of a company is its profit function, derived by the formula:

Profit = Sales - Cost.

Sales are the product of the number of units sold and per unit selling price.

Cost is the sum of fixed costs and the product of the number of units produced to the variable cost per unit.

Assuming the number of units sold in 2021 to be x,

we can say sales = $152x, and

cost = ${574800 + 96x}.

Therefore, profit = sales - cost,

or, 170000 = 152x - {574800 + 96x},

or, 170000 = 56x - 574800

or, 56x = 574800 + 170000 = 744800,

or, x = 744800/56 = 13300.

Therefore, the number of units sold in 2021 was 13,300.

In 2022, the desired profit = $170,000 + $106,400 = $276,400.

Assuming the number of units sold in 2022 to be n, at the same unit data and fixed cost, we can say that:

Sales = $152n, and

Cost = ${574800 + 96n}.

Therefore, profit sales - cost,

or, 276400 = 152n - {574800 + 96n},

or, 276400 = 56n - 574800,

or, 56n = 574800 + 276400 = 851200,

or, n = 851200/56 = 15200.

Therefore, the number of units sold in 2022 should be 15,200 to reach the desired profit of the stakeholders.

When the number of units sold in 2022 is the same as in 2021, that is, the number of units = 13,300, we assume the per unit selling price to be $P.

Now we can say that,

Sales = $13300P.

Costs = ${574800 + 96*13300} = ${574800 + 1276800} = $1851600.

Therefore, profit = sales - cost,

or, 276400 = 13300P - 1851600,

or, 13300P = 1851600 + 276400 = 2128000,

or, P = 2128000/13300 = 160.

Therefore, the new selling price per unit to reach stockholders' desired profit, assuming the number of units sold in 2022 to be the same as in 2021 is $160.

Refer to the attachment for the required questions.

Learn more about selling price, cost price, and profits at

brainly.com/question/19104371

#SPJ4

5 0

2 years ago

What is the distance between the endpoints (2,3) and (-3,-2)?

Deffense [45]

$distance= \sqrt{(-3-2)^2+(-2-3)^2}= \sqrt{25+25}= \sqrt{50}=5 \sqrt{2}$

Answer is 5√2

3 0

3 years ago

Ms. Grant’s car gets between 20 and 22 miles per gallon, inclusive. The gasoline she uses costs between $4.20 and $4.50 per gall

maria [59]

Answer:

You need to be more clearer with the money amount not like 4.20 - 4.50

Step-by-step explanation:

7 0

3 years ago

Calculate the final amount of a 20-year, long term savings plan if a payment of $2000 is made at the end of every year. Interest

Andrej [43]

Hi there
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r)^(n)-1)÷r]
Fv future value?
PMT payment per year 2000
R interest rate 0.085
N time 20 years

Fv=2,000×(((1+0.085)^(20)−1)
÷(0.085))=96,754.03

Hope it helps

6 0

3 years ago