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Digiron [165]
3 years ago
14

9. Calista’s gross annual income is $39,036. She is paid monthly and has 6% deducted from her paychecks for her 403(b). If her e

mployer matches her deduction up to 4%, how much is deposited into her retirement plan each payday?
Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

$325.3

Step-by-step explanation:

Annual gross = $39,036

Monthly gross = $39036/12 = $3,253

Retirement plan = 6% + 4% = 10% of paycheck

= 3253/10 = $325.3

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Can anyone explain how to find surface area? BRAINLIEST FOR BEST EXPLAINTION!
Wittaler [7]
Surface Area of a Cube = 6 a 2

(a is the length of the side of each edge of the cube)

In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a 2 . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared.



Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac
(a, b, and c are the lengths of the 3 sides)

In words, the surface area of a rectangular prism is the area of the six rectangles that cover it. But we don't have to figure out all six because we know that the top and bottom are the same, the front and back are the same, and the left and right sides are the same.

The area of the top and bottom (side lengths a and c) = a*c. Since there are two of them, you get 2ac. The front and back have side lengths of b and c. The area of one of them is b*c, and there are two of them, so the surface area of those two is 2bc. The left and right side have side lengths of a and b, so the surface area of one of them is a*b. Again, there are two of them, so their combined surface area is 2ab.


Surface Area of Any Prism

(b is the shape of the ends)

Surface Area = Lateral area + Area of two ends

(Lateral area) = (perimeter of shape b) * L

Surface Area = (perimeter of shape b) * L+ 2*(Area of shape b)


Surface Area of a Sphere = 4 pi r 2

(r is radius of circle)


Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h

(h is the height of the cylinder, r is the radius of the top)

Surface Area = Areas of top and bottom +Area of the side

Surface Area = 2(Area of top) + (perimeter of top)* height

Surface Area = 2(pi r 2) + (2 pi r)* h

In words, the easiest way is to think of a can. The surface area is the areas of all the parts needed to cover the can. That's the top, the bottom, and the paper label that wraps around the middle.

You can find the area of the top (or the bottom). That's the formula for area of a circle (pi r2). Since there is both a top and a bottom, that gets multiplied by two.

The side is like the label of the can. If you peel it off and lay it flat it will be a rectangle. The area of a rectangle is the product of the two sides. One side is the height of the can, the other side is the perimeter of the circle, since the label wraps once around the can. So the area of the rectangle is (2 pi r)* h.

Add those two parts together and you have the formula for the surface area of a cylinder.

Surface Area = 2(pi r 2) + (2 pi r)* h


6 0
3 years ago
What is the mean of the values in the dot plot?
kari74 [83]

Answer:

Mean = 19.5

Step-by-step explanation:

Mean = sum of numbers ÷ Amount of numbers

Mean = \frac{16+17+17+17+17+19+19+19+19+21+22+22+23+25}{14}

Mean = \frac{273}{14}

Mean = 19.5

3 0
3 years ago
P-value test and Ctitical Value test are identical. P-value and Critical value are two different names for the same steps. They
creativ13 [48]

Answer:

Option B - False

Step-by-step explanation:

Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.

For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.

Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.

Thus, it's clear critical values are different from P-values and they can't be used interchangeably.

8 0
3 years ago
Enter the correct answer in the box.
andrezito [222]

Ans $0.15 cents per ounce wer:

7 0
3 years ago
Find the following quantity.
nataly862011 [7]
42.1% of 375.4.....turn percent to decimal...." of " means multiply
0.421(375.4) = 158.0434.....so it would be B. 158.04
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