Two less than one-fourth a number is the same as 3

Can someone help me with this problem and its explanation please :(

svlad2 [7]

Answer:

25

Step-by-step explanation:

pythagorean theorem

a^2+b^2=c^2

7^2+24^2=c^2

square root of 49+576 =c^2

square root of 625 =c^2

25=c

8 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 = <u>13,300 units</u>.

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

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 = <u>$160</u>.

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 <u>13,300</u>.

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 <u>15,200</u> 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 <u>$160</u>.

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

If h(x)= -3x -10, find h(-3)

raketka [301]

H(x) = -3x - 10......h(-3)
h(-3) = -3(-3) - 10
h(-3) = 9 - 10
h(-3) = -1 <===

7 0

3 years ago

The diagram shows a sector of a circle radius 10cm. Find the perimeter of the sector, giving your answer correct to 1 decimal pl

qwelly [4]

<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Anyway, I'll help you either way. A sector is a region of a circle between two radii. Let's assume the sector as:

$s=25\pi cm^2$