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KiRa [710]
3 years ago
5

You get a part-time job earning $8.60/hr. Tips are $3.25/hr on average. Deductions are FICA (7.65%), federal tax withholding (11

.2%), and state tax withholding (7.45%). You work for 15 hours. What is your gross base pay? $121.48 $129.00 $104.91 $119.30
Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

Gross Base pay is equals to $129

Step-by-step explanation:

Gross base pay can be defined as the pay per hour which has been discussed and finalized by the employer and employee at the time of job offering. It is the minimum amount of pay the employee is to receive. The tips, bonuses, allowances are not considered in the Gross base pay. Moreover, it is the basic pay an employee gets before any kind of tax deductions..

Gross base pay can easily be calculated by multiplying the pay per hour with the number of hours worked.

Pay per hour = $8.60

Numbers of hours worked = 15

Gross Base Pay = 8.60×15 = $129

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Joe has fraction 5 over 6 pound of bird seed. He needs Fraction 1 over 3. pound to feed the birds daily. Which of the rectangle
Studentka2010 [4]
I divided the two fractions & drew a model.

\frac{5}{6}/ \frac{1}{3} = 2.5

So we know that the bird seed will last 2.5 days.

Knowing this, we can go with:

B. Rectangle model divided into six equal sections, five sections are labeled five-sixths and two sections are labeled one-third, equaling two and one-half days.

Let me know if you find any problems with my answer.


9 0
3 years ago
Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare y
DiKsa [7]

The area of the surface is given exactly by the integral,

\displaystyle\pi\int_0^5\sqrt{1+(y'(x))^2}\,\mathrm dx

We have

y(x)=\dfrac15x^5\implies y'(x)=x^4

so the area is

\displaystyle\pi\int_0^5\sqrt{1+x^8}\,\mathrm dx

We split up the domain of integration into 10 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], ..., [4, 9/2], [9/2, 5]

where the left and right endpoints for the i-th subinterval are, respectively,

\ell_i=\dfrac{5-0}{10}(i-1)=\dfrac{i-1}2

r_i=\dfrac{5-0}{10}i=\dfrac i2

with midpoint

m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}4

with 1\le i\le10.

Over each subinterval, we interpolate f(x)=\sqrt{1+x^8} with the quadratic polynomial,

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m_i)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}

Then

\displaystyle\int_0^5f(x)\,\mathrm dx\approx\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx

It turns out that the latter integral reduces significantly to

\displaystyle\int_0^5f(x)\,\mathrm dx\approx\frac56\left(f(0)+4f\left(\frac{0+5}2\right)+f(5)\right)=\frac56\left(1+\sqrt{390,626}+\dfrac{\sqrt{390,881}}4\right)

which is about 651.918, so that the area is approximately 651.918\pi\approx\boxed{2048}.

Compare this to actual value of the integral, which is closer to 1967.

4 0
3 years ago
(6x+12y)(x+2y+5)−(6y+3x)(2x+4y)−30(x−2y)
Dmitry [639]

Step-by-step explanation:

6x + 120y + 6x2

Final answer

5 0
3 years ago
Whenever you see ______ it is a blank spot where I need to fill in information.
vladimir1956 [14]
She can arrange the photos as 4 rows of 10 photos and 1 row of 3 photos or arrange the photos as 5 rows of 8 photos and 1 row of 3 photos.
5 0
3 years ago
corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. which quantity depends on the other?​
lana66690 [7]

<u>Complete Question:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?

A. The distance traveled depends on the number of hours traveled.

B. The number of hours traveled depends on the speed of the train.

C. The speed of the train depends on the distance traveled.

D. The speed of the train depends on the number of hours traveled.

<u>Answer:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled

<u>Step-by-step explanation:</u>

As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

           \text {velocity}=\frac{\text {distance}}{\text {time}}

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

            \text {distance}=\text {velocity} \times \text {time}

If 'v' is constant,

           \text {distance} \propto \text {time}

By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.

3 0
3 years ago
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