All categories

3 years ago

Roger Brown works for the sanitation department. He earns a salary of $721.00 biweekly. His boss gave him

Mathematics

1 answer:

liq [111]3 years ago

3 0

Answer:

2249 dollars more

Step-by-step explanation:

52 weeks in one year so divide by 2 and then multiply by 721 and then take that amount and dubtract the new salary 20.995 and subtract the previous annual amount and then boom 2295 more

You might be interested in

The base of a triangle is twice the height of the triangle.

Andreas93 [3]

Answer:

Step-by-step explanation:

$area = \frac{1}{2} \times base \times height \\ 16 {cm}^{2} = \frac{1}{2} \times 2x \times x \\ 16 {cm}^{2} = \frac{2 {x}^{2} }{2} \\ \\ 16 {cm}^{2} \times 2 = 2 {x}^{2} \\ 32 {cm}^{2} = 2 {x}^{2} \\ \frac{32 {cm}^{2} }{2} = {x}^{2} \\ 16 {cm}^{2} = {x}^{2} \\ \sqrt{16 {cm}^{2} } = \sqrt{ {x}^{2} } \\ 4cm = x \\$

6 0

3 years ago

The graphs shown are of the form y = ax2. Which graph has the smallest value for a?

julia-pushkina [17]

$y= x^{2}$ is a parabola (looks like the letter U).

The letter a represents the coefficient of $x^{2}$ and it controls two things (1) how wide or narrow the parabola is and (2) whether it is concave up (like a U) or concave down (like an up-side-down).

The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.

If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.

So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.

The a also controls whether the graph is concave up or concave down. If a is negative

If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.

So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)

3 0

3 years ago

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she wo

Elodia [21]

Answer:

She will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

Step-by-step explanation:

Given:

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.

Now, to find money she will earn in one week after the changes.

Her wage was = $10.50.

She worked per week = 40 hours.

So, her salary before changes:

$10.50\times 40\\\\=\$420.$

Thus, the salary per week before changes is $420.

Now, to get her salary after 14% hourly raise:

$10.50+14\%\ of\ 10.50\\\\=10.50+\frac{14}{100} \times 10.50\\\\=10.50+1.47\\\\=11.97$

Salary after hourly raise = $11.97 per hour.

Then, to get the number of hours worked decreased by 7.5%:

$40-7.5\%\ of\ 40\\\\=40-\frac{7.5}{100} \times 40\\\\=40-3\\\\=37.$

Number of hours per week after hours of worked decreased = 37 hours.

Now, to get the salary after changes:

Salary after hourly raise × number of hours per week after hours of worked decreased

$=11.97\times 37$

$=\$442.89.$

Salary after changes in one week = $442.89.

As, the previous salary was $420 in one week. 

And after changes this salary is $442.89 in one week which is more than previous. 

Therefore, she will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

4 0

3 years ago

Find the volume HELP ASAP !

Anvisha [2.4K]

Answer:

69.73 (units)

Step-by-step explanation:

Let's find the volume of the prism first.

Prism:

The dimensions of this prism are 6 x 5 x 4.

The formula to calculate the volume of this prism is b * h

b = 24 (6*4)

h = 5

V = 24 * 5

V = 120

Now we need to find the volume of the hole so that we can subtract it from the volume of the prism.

Cylinder:

The hole is a cylinder, with a height of 4 and a radius of 2.

The formula for finding the volume of a cylinder is πr^2 * h

r = 2

h = 4

V = (π * 2^2) * 4

V = 50.27

Now, subtract the volume of the cylinder from the volume of the prism:

120 - 50.27 = 69.73

And that is your answer!

Hope this helps!

7 0

3 years ago

Mr. Krueger wanted a square platform built in the drama room at

Aneli [31]

Answer:

Building a square platform for Mr. Krueger in the drama room at school:

The carpenter can use the Square Root Function to determine the side length of the square platform.

Step-by-step explanation:

The square root of the desired area of the platform, which had been provided to the carpenter will give the side length of the square platform because area of a square is equal to side length squared (L²). If the area is ascertained, to determine the length will be to get the square root of the area.

8 0

3 years ago