1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jasenka [17]
3 years ago
13

Jane is paid 14.85 an hour for regular 40 hour work week. her overtime pay for any hours over 40 per week is 1.5 times her regul

ar hourly rate. this past week and Jane earned $727.65 in total pay. how many hours of overtime did she work this past week?
Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Around 6 hours (exact decimal would be 5.99865). I did this by multiplying 14.85*40 (getting 594). After that, I subtracted 594 from 727.65 (getting 133.65), then multiplying 14.85 by 1.5, getting 22.28, and then, I did 133.65/22.28, getting 5.99865, which I rounded to 6.

You might be interested in
Find the value of x needed to make the equation True. 3/4(20x-8)-3=54
olasank [31]

Answer:

The answer is option B, x = 4.2

6 0
2 years ago
Integers are natural numbers.
Stells [14]

Answer: False

Step-by-step explanation:

Hope this helps

5 0
3 years ago
Caroline is considering two video game rental plans. Plan A can be modeled with the equation C = 2n, and Plan B can be modeled w
meriva

Options

A. Caroline rents exactly 7 games each month.

B. Caroline rents exactly 6 games each month.

C. Caroline rents 6 or more games each month.

D. Caroline rents from 1 to 5 games each month.

Answer:

D. Caroline rents from 1 to 5 games each month.

Step-by-step explanation:

Given

Plan A:

C = 2n

Plan B:

C = n + 6

Required

Which options justifies A over B

The solution to this question is option (d).

In option d, n = 1,2,3,4,5

When any of the values of n is substituted in plan A and B, respectively; the cost of plan A is cheaper than plan B.

This is not so, for other options (A - C)

To show:

Substitute 1 for n in A and B

Plan A:

C = 2n  = 2 * 1 = 2

Plan B:

C = n + 6 = 1 + 6 = 7

Substitute 5 for n in A and B

Plan A:

C = 2n  = 2 * 5 = 10

Plan B:

C = n + 6 = 5 + 6 = 11

<em>See that A < B</em>

8 0
3 years ago
Which statements are true of the graph of h(x) = 3/4-4? Check all that apply.
Dmitriy789 [7]

Answer:

the answers are : A , B , and E. i just took the assignment.

Step-by-step explanation:

5 0
3 years ago
A sphere of radius r is cut by a plane h units above the equator, where
Anika [276]
Consider the top half of a sphere centered at the origin with radius r, which can be described by the equation

z=\sqrt{r^2-x^2-y^2}

and consider a plane

z=h

with 0. Call the region between the two surfaces R. The volume of R is given by the triple integral

\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx

Converting to polar coordinates will help make this computation easier. Set

\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi

Now, the volume can be computed with the integral

\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta

You should get

\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)
5 0
3 years ago
Other questions:
  • What is the circumference of a QUATER CIRCLE if the radius of the quater circle is 2CM
    12·1 answer
  • What is the solution set?
    14·1 answer
  • What is ​ 4 9/10 ​ expressed as a decimal? Enter your answer in the box.
    11·2 answers
  • Help asap. need the answer ASAP
    8·1 answer
  • You have 168 ride tickets. You need 4 tickets to ride the Ferris wheel and 8 tickets to ride the roller Coaster. You ride both r
    11·1 answer
  • What is the area of the trapiziod
    10·2 answers
  • Solve: 2 In 3 = In(x - 4)<br> х = 9<br> х= 10<br> x = 13
    10·1 answer
  • In what place is the digit six in the number 903.62
    7·2 answers
  • What is the difference quotient for the function f(x) = 8/ 4x + 1
    8·1 answer
  • Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!