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const2013 [10]
2 years ago
5

Sally has just finished her thirty-fifth year with her company and is getting ready to retire. During her thirty-five years, Sal

ly’s average annual salary was $45,603. How much can Sally expect to receive from Social Security annually if she were to retire today? (Assume she will receive 42% of her average annual salary.)
Mathematics
2 answers:
Otrada [13]2 years ago
8 0
$19,153.26

If Sally got 42% of her aberage annual salary, that would be $45,603 * 42%.
olya-2409 [2.1K]2 years ago
7 0

The <em>correct answer</em> is:

$19,153.26.

Explanation:

She will receive 42% of her average annual salary. This salary was $45,603.

To find 42% of a number, we first convert the percent to a decimal: 42% = 42/100 = 0.42.

Next we multiply this by the number we're taking the percent of:

0.42(45603) = 19153.26.

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Suppose the supply function for product x is given by qxs = - 30 + 2px - 4pz.
Igoryamba

It is given in the question that

Suppose the supply function for product x is given by

qxs = - 30 + 2px - 4pz.

And we have to find how much of product x is produced when px = $600 and pz = $60.

And for that, we have to substitute 600 for px and 60 for pz, and on doing so, we will get

qxs = -30+2(600)-4(60)&#10;\\&#10;qxs = -30 +1200 -240 = 930

And that's the required answer .

3 0
2 years ago
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he
Eddi Din [679]
1) The population

Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.

2) The sample is every set of five cards that is selected by each student.

3) I think the sample is representative because all ther terms have the same probability of being selected. 

Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.
<span><span>Comments </span> <span>Report</span></span>
8 0
2 years ago
24. ABCDE and PQRST are regular pentagons.
SIZIF [17.4K]

Answer:

126°

Step-by-step explanation:

In quadrilateral DSRC, SR || DC (given)

AP = BQ = CR = DS = ET (given)

\therefore CR bisects \angle DCB

\therefore m\angle DCR=\frac{108\degree}{2}

(108\degree is the measure of an angle of pentagon)

\therefore m\angle DCR=54\degree

\because m\angle DCR + m\angle SRC=180\degree

(Measure of interior angles on the same side of transversal)

\therefore 54\degree + m\angle SRC=180\degree

\therefore  m\angle SRC=180\degree- 54\degree

\therefore  m\angle SRC=126\degree

3 0
2 years ago
Jenna concludes that (4,9) is the solution to the system of these two equations. which of the following justifies her conclusion
nalin [4]

<u><em>Answer:</em></u>

a. The point (4,9) appears in both tables

<u><em>Explanation:</em></u>

<u>Note:</u> This question can be solved without the need of the tables

<u>A solution of a system of equations</u> is defined as a point (or set of points) that satisfy both equations

<u>This means that,</u> this point should belong to all the equations in the system

Now, a table is used to show a set of points that belong to a certain line

This means that, all vales in the table belong to the line they represent

<u>Since the point (4,9) appears in both tables</u>, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines

Hope this helps :)

5 0
2 years ago
If the fastest you can safely drive is 65 mi/h, what is the longest time you can stop for dinner if you must travel 569 mi in 9.
stellarik [79]

Divide total miles by speed to get how long it will take to drive:

569 miles / 65 mi/h = 8.75 hours.

Now subtract the time it takes to drive from the total time you can travel:

9.5 hours - 8.75 hours = 0.75 hours.

You can stop for 0.75 hours.

4 0
2 years ago
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