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Otrada [13]
2 years ago
6

Sally Jenkins works for a manufacturing company part-time and earns $38,000 annually. Her company contributes 5% of the salary i

nto a pension
plan for full-time workers and part-time workers who work more than 27 hours per week. If Sally qualified for this pension, how much would the
company contribute?
Select one:
O a. $1,407,41 annually
O b. $7,600 annually
Oc. $1,900 annually
Od $0 because she would not qualify
Help please!
Mathematics
1 answer:
professor190 [17]2 years ago
5 0
<h3>Answer: Choice C.   $1,900 annually</h3>

Work Shown:

5% of $38,000 = 0.05*38000 = 1900

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Answer:

(a) Five

(b) Thirteenth

Step-by-step explanation:

We have the mean is 12.6 and

that 11 occurs 4 times, 12 occurs 7 times, 13 occurs 9 times, and 14 occurs f times.

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4+7+9+f

20+f

Alright so the mean could be found by doing:

\frac{4(11)+7(12)+9(13)+f(14)}{20+f}

But we are given this is also equal to: 12.6.

So we have

\frac{4(11)+7(12)+9(13)+f(14)}{20+f}=12.6

I'm going to simplify what I can on top.

\frac{245+14f}{20+f}=12.6

I'm going to write 12.6 as \frac{12.6}{1} because I want to cross multiply:

\frac{245+14f}{20+f}=\frac{12.6}{1}

(245+14f)(1)=12.6(20+f)

Distribute:

245+14f=252+12.6f

Subtract 12.6f on both sides:

245+1.4f=252

Subtract 245 on both sides:

1.4f=7

Divide both sides by 1.4:

f=5

There are five 14 years old.

(b) I would say 13 is good age to represent this bunch.

The means was 12.6 which when rounded is 13.

The mode is 13 because it is the most occurring

The median is also 13. Why? If you list out the data 13 will be the middle number. Or you could say there are 25 kids and if I divide it by 2, I get 12.5.  This means you only need to count to the 13th kid with the ages in order to tell with the median is.

There are 4 eleven yr olds.

There are 7 twelve yr olds.  That is 11 kids so far.

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3 years ago
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B
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3 years ago
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of t
GrogVix [38]
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Given the equation (x−13)2+y2=64, identify the center and radius. Do not enter any spaces when typing your answers.
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Answer:

centre = (13,0)

radius = 8

Step-by-step explanation:

The standard equation of the circle is

(x-x0)^2 + (y-y0)^2 = r^2 ...............(1)

where

(x0,y0) is the centre,

r is the radius.

For

(x-13)^2 + y^2 = 64  ..............(2)

we rewrite (2)

(x-13)^2 + (y-0)^2 = 8^2 ...............(3)

and compare (3) with (1)

to identify

x0 = 13, y0 = 0, and r = 8

Therefore

centre = (13,0)

radius = 8

3 0
2 years ago
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