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2 years ago

8. You are paid a commission plus $5.40 per hour with time and a half overtime

Mathematics

1 answer:

Elanso [62]2 years ago

6 0

9514 1404 393

Answer:

$491.65

Step-by-step explanation:

The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.

The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.

So, the gross pay is ...

$43.20 × 6 + 8.10 × 7 = $315.90 . . . . wages

$3000 × .04 +1115 × .05 = $175.75 . . . commission

$315.90 +1.75.75 = $491.65 . . . . gross pay for the week

_____

It can be less tedious to let a spreadsheet do the calculations.

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A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0

1 year ago

Pls help I don't understand this at all, they are all the same choices so pls pls HELP!!!!

attashe74 [19]

Answer:

12 inches in a foot

36 inches in a yard

3 feet in a yard

5280 feet in a mile

1760 yards in a mile

3 0

3 years ago

Read 2 more answers

Solve for x. 3x/2 = 15 x = 22 1/2 x = 10 1/2 x = 10 x = 1/10

Leokris [45]

Answer:

x = 10

Step-by-step explanation:

(3x)/2 = 15 is your question.

Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponent (& roots), Multiplication, Division, Addition, Subtraction).

First, multiply 2 to both sides

((3x)/2) = (15)(2)

3x = (15)(2)

3x = 30

Next, to isolate the variable (x), divide 3 from both sides

(3x)/3 = (30)/3

x = 30/3

x = 10

x = 10 is your answer

8 0

3 years ago

Read 2 more answers

PLEASE HURRY I NEED HELP SOS!!!!!!!! (15 POINTS)

yaroslaw [1]

Answer:

0, π, 7π/6, 11π/6 on the interval 0 ≤ ø <2π.

Step-by-step explanation:

sinø + 1 = cos2ø

Use the identity cos 2o = 1 - 2 sin^2 o:

sin o + 1 = 1 - 2 sin^2 o

2sin^2 o + sin o + 1 - 1 = 0

2 sin^2 o + sin o = 0

sin o (2 sin 0 + 1) = 0

Therefore sin o = 0 or sin o = -1/2.

For sin o = 0 , o = 0, π radians.

For sin o = - 1/2, o = 7π/6, 11π/6 radians.

8 0

3 years ago

Can someone help me solve for X

likoan [24]

Step-by-step explanation:

You can apply the power of point to this problem. Essentially, it states that:

$5\cdot12=2\cdot(2+x)\\30=2+x\\x=28$

8 0

2 years ago