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Bad White [126]

2 years ago

9

Lynh manages a small company with 12 employees. He offers profit sharing where 5% of profits at end of year is distributed evenl

y to the employees. Each employee earned $2,300 in profit sharing in 2013. What was the total profit?

2 answers:

soldier1979 [14.2K]2 years ago

6 0

46,000 I got by divide 2,300 by 5 and I got 460 then I time it by 100

garik1379 [7]2 years ago

4 0

We need to find the total profit of Lynh Mangoes. It is given that the 5 % of profit to be distributed equally between 12 employees.

Profit received by each employee = $ 2,300

Total profit received by 12 employees = $ 2,300 × Profit received by each employee

Total profit received by 12 employees = $ 27,600

It is given that 5 % to be distributed.

Thus, 5 % of total profit = $ 27,600

Total profit = $ 27,600 ÷ 5 %

<u>Total profit = $ 552,000</u>

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Volume of a cylinder pi 3.14 d=2r h=6cm d=12cm

alex41 [277]

Answer:

V = 678.24cubic cm

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of a cylinder

π - pie

r - radius of a cylinder

h - height of a cylinder

Given:

π - 3.14

h - 6

d = 12

d = 2r

Divide both sides by 2

d/2 = 2r/2

d/2 = r

r = d/2

r = 12/2

r = 6

Insert the values into the formula

V = πr^2h

V = 3.14 * 6^2 * 6

= 3.14 * 36 * 6

= 678.24cubic cm

5 0

2 years ago

Budget planners in two towns, Alphaville and Betaville, developed models to determine the budget surplus (in dollars) for a year

kramer

Answer:

(a) $-3x^2+150x-10000$

(b) $-\$16,863,760,000$

Step-by-step explanation:

Alphaville's Budget Surplus Model is $-2x^2+ 500x$

Betaville's Budget Surplus Model is $x^2- 100x + 10000.$

We want to determine the expression that shows how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue.

To do this, we subtract Betaville's Model from Alphaville's model.

$-2x^2+ 500x-(x^2- 100x + 10000)\\$

Opening the brackets

$-2x^2+ 500x-x^2+100x - 10000\\$

Collect like terms and simplify

$-2x^2-x^2+100x + 500x- 10000\\=-3x^2+150x-10000$

The expression that shows how much greater Alphaville's Budget is:

$-3x^2+150x-10000$

(b) If the tax revenue that year in each town is $75,000

We want to evaluate the expression derived above when the tax revenue that year in each town is $75,000 i.e.at x=75000

$-3x^2+150x-10000\\=-3(75000)^2+150(75000)-10000\\=-\$16,863,760,000$

3 0

2 years ago

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi

Whitepunk [10]

Answer:

$A=81\pi $ m^2$

Step-by-step explanation:

Circumference of the column $=18\pi $ meters$

Circumference of a circle $=2\pi r$

Therefore:

$2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters$

Area of a Circle $=\pi r^2$

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

$=\pi *9^2\\=81\pi $ m^2$

5 0

2 years ago

Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins $2$ years younger than

vagabundo [1.1K]

Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45

8 0

2 years ago

Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fractio

melisa1 [442]

Answer:

$Each = \frac{4}{15}$

Step-by-step explanation:

Given

$Fraction = \frac{4}{5}$

$Teachers = 3$

Required

Determine fraction of each teacher

Each fraction is calculated by dividing total fraction by number of teachers as follows:

$Each = \frac{Fraction}{Teachers}$

$Each = \frac{4}{5}/3$

$Each = \frac{4}{5} * \frac{1}{3}$

$Each = \frac{4}{15}$

4 0

2 years ago