~asap offering 25 points answer all questions~ use these equations to you with the problems cost = selling price - markup markup = selling price - cost net profit = mark up - overhead net profit = selling price - cost - overhead overhead = selling price x overhead percent question 1) nakesha sporting goods operates on a 45% overhead based on the selling price. this results in an overhead of $65.34 on the newest version of an air hockey game set. if the air hockey game set costs nakesha sports $49.32, find the net profit to the nearest cent. (hint: find the selling price from the overhead percent. then subtract costs and overhead from the selling price.) question 2) abe software creates customized software that sells for $3,816,981.10 total. abe software’s cost is $1,723,000.00 and overhead expenses are estimated at 47% of the selling price. what is abe software’s net profit to the nearest dollar? a) $1,284,981 b) $150,000 c)$300,000 d)$600,00 question 3) suppose overhead is estimated to be 40% of an item's selling price and markup is $30.00. if the cost is $25.00, which of the following is true? a)overhead - (0.4 x selling price) = cost b) net profit = $30.00 - 0.4 x selling price c)$30.00 = (0.4 x selling price) d) $30.00 = (0.4 x selling price) + mark up

Q1: Rearranging the last of the offered equations, you find

... selling price = overhead/(overhead percent) = $65.34/0.45 = $145.20

Then the net profit is

... net profit = selling price - cost - overhead = $145.20 - 49.32 - 65.34 = $30.54

Q2: Using the same net profit equation, you have

... net profit = selling price - cost - 0.47×selling price = 0.53×selling price - cost

... net profit = 0.53×$3,816,981.10 - 1,723,000.00 = $300,000

Q3: The applicable equation is

... net profit = markup - overhead

This matches selection ...

... B) Net Profit = $30.00 - 0.4 X Selling Price

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .