MATHEMATICS HIGH SCHOOL

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells.

Answers

Answer 1

Answer:

$165

Step-by-step explanation:

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells.

Let's find the total amount she is being paid per week

Amount paid originally = $150

Percentage Commission = 10%

Commission = 10% of 150

Commission = 0.1×150

Commission = $15

Total amount paid = originally amount + Commission

Total amount paid = $150+$15

Total amount paid =$165

Hence the amount paid to Rachel okus Commission is $165

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If G(t)=(3t-5)^2 + 4t-1, find each of the following: A.G(a) B.G(a + 2)
Factor completely 5a2 + b. Prime a(5a + b) b(5a2) ab(5a + 1)
Is 5/6 is greater than 10/12

Write each number as a power of given base.8/27;base 2/3

Answers

Suppose x=log(8/27)with base 2/3

Then,

(2/3)^x=8/27

(2/3)^x=(2/3)^3

So, x=3

Hence, the value of log(8/37) under base 2/3 is 3.

A company made a profit of $25,000 over a period of 5 years on an initial investment of $10,000. What is its annualized ROI?

Answers

Given:
Initial Investment = 10,000
Total profit = 25,000
Total number of years = 5 years

Return on Investment = Gain from Investment - Cost of Investment
cost of investment

ROI = (25,000 - 10,000) / 10,000 = 15,000/10,000 = 1.5 x 100% = 150%

ROI = 150% ÷ 5 years = 30% per year.

Answer:

50% I got it right on the test

Step-by-step explanation:

The profit was 25,000, not the final amount. So, you have to add that 25,000 to the 10,000

ROI: (35,000 - 10,000) / 10,000 * 100 = 250%

annualized ROI: 250% / 5 years = 50%

You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How much cleaning solution will you need to use?

Answers

You have a bucket 1 gallon big.
To mix cleaner and water you need to divide the bucket's capacity into 4.
It's easy in this case as gallon is divided into quarts (1 gallon is equal to 4 quarts).
Since one part will be a window cleaner, it means that you will need to use 1 quart of the cleaner.

Each month Allison gets a $15 allowance and earns $100 working at the theater. She uses the expression 15x+100y to keep track of her earnings Part A Part B Part C

Answers

Step-by-step explanation:

The expression for he earning of Allison and her allowance is as follows :

15x+100y

Part A

Variables are x and y. Coefficients are 15 and 100.

Part (B)

There are two terms in this expression. + is used to separate the terms. 15x and 100y are the terms.

Part (C) As $15 shows her earning from allowances. Hence, 15x shows allowance.

Find the coordinates of the intersection of the diagonalsof parallelogram XYZW with vertices X(2, 2), Y(3, 6), Z(10, 6), and W(9,2). Hint: what do we know about
the diagonals of a parallelogram?

Answers

The coordinates of the intersection of the diagonals of parallelogram XYZW is at (6, 4).

Parallelogram

A parallelogram is a quadrilateral in which opposite sides are parallel and equal. The diagonals of a parallelogram bisect each other.

Given parallelogram XYZW with vertices X(2, 2), Y(3, 6), Z(10, 6), and W(9,2).

The equation of diagonal XZ is:

$y-2=(6-2)/(10-2) (x-2)\n\ny=0.5x+1$

The equation of diagonal YW is:

$y-6=(2-6)/(9-3) (x-3)\n\ny=-(2)/(3) x+8$

The point of intersection is at:

0.5x + 1 = (-2/3)x + 8

x = 6. Hence y = 4

The coordinates of the intersection of the diagonals of parallelogram XYZW is at (6, 4).

Find out more on Parallelogram at: brainly.com/question/970600

Answer:

We know the basic facts about parallelogram is The basic formula for calculating the area of a parallelogram is the length of one side times the height of the parallelogram to that side.

Step-by-step explanation:

Multiply. State any excluded values.

Answers

The answer is D. -2 is an excluded value, because when you simplify the expression, you get -3q - 6 on the bottom. You can't divide by zero, and if q was -2, you would be doing so, so the answer is D.

$(q + 5)/(-3) * (-3q)/(q + 2) = (q + 5)/(1) * (q)/(q + 2) = (q^(2) + 5q)/(q + 2)$

The answer is D.

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