Mathematics, 21.10.2019 19:00 mem8163

Eric, george, and denzel have invested $400,000, $300,000, and $300,000, respectively, in a business venture. they have decided that they will divide the profits among themselves in the ratio of their respective investments. if their business makes a profit of $75,000, what would be eric’s share in the profit? a. $22,500 b. $30,000 c. $32,500 d. $45,000

Answers: 2

Show answers

Answers

Answer from: mjwaple57

Eric’s share in the profit is $30,000 ⇒ answer B

Step-by-step explanation:

* We will use the ratio to solve this problem

- At first lets find the ratio between their invested

∵ Eric has invested $400,000

∵ George has invested $300,000

∵ Denzel has invested $300.000

- To find the ratio divide each number by 100,000

∴ Eric : George : Denzel = 4 : 3 : 3

- They will divide the profits among themselves in the ratio of their

respective investments

- The total profit will divided by the total of their ratios

∵ The total of the ratios = 4 + 3 + 3 = 10

∴ Eric : George : Denzel : Sum = 4 : 3 : 3 : 10

- That means the profit will divided into 10 equal parts

- Eric will take 4 parts, George will take 3 parts and Denzel will take

3 parts

∵ The profit = $75,000

- Divide the profit by the sum of the ratio

∴ Each part of the profit = 75,000 ÷ 10 = $7,500

- Now lets find the share of each one

∴ The share of Eric = 4 × 7,500 = $30,000

∴ The share of George = 3 × 7,500 = $22,500

∴ The share of Denzel = 3 × 7,500 = $22,500

* Eric’s share in the profit is $30,000

# If you want to check your answer add the shares of them, the answer

will be the total profit (30,000 + 22,500 + 22,500 = $75,000), and if

you find the ratio between their shares it will be equal the ratio

between their investments (divide each share by 7,500 to simplify

them the answer will be 4 : 3 : 3)

Answer from: Quest

answer: give more info

step-by-step explanation:

Answer from: Quest

x= -3 and $x=\frac{-3+/-3i\sqrt{3} }{2}$

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

$(x^3-a^3)=$ $(x-a)(x^2+ax+a^2)$

where a is the cube root of $a^3$ .

here this is 27 and the cube root of 27 is 3. so we write using the form:

$(x-3)(x^2+(3)x+3^2)\\(x-3)(x^2+3x+9)$ .

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

where a = 1, b=3, and c=9

$x=\frac{-3+/-\sqrt{3^2-4(1)(9)} }{2(1)} \\x=\frac{-3+/-\sqrt{9-36)} }{2} \\x=\frac{-3+/-\sqrt{-27)} }{2}\\x=\frac{-3+/-3i\sqrt{3} }{2}$

this cubic has two complex roots.

Another question on Mathematics

Mathematics, 21.06.2019 12:30

Which expression is equivalent to 2^4y^3

Answers: 2

Answer

Mathematics, 21.06.2019 13:00

20 points! asap! a is known to be 6,500 feet above sea level; ab = 600 feet. the angle at a looking up at p is 20°. the angle at b looking up at p is 35°. how far above sea level is the peak p? find the height of the mountain peak to the nearest foot. height above sea level =

Answers: 1

Answer

Mathematics, 21.06.2019 16:30

On average, how many more hits will he get when he bats 100 times at home during the day as opposed to 100 times away at night?

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

Acertain volume of water contains 100000 hydrogen atoms and 50,000 oxygen atoms how many hydrogen atoms are in a volume of water containing 4 million oxygen atoms

Answers: 1

Answer

You know the right answer?

Eric, george, and denzel have invested $400,000, $300,000, and $300,000, respectively, in a business...

Questions