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3 years ago

You currently make $18.32 an hour, get time and a half for anything over 40 hours, and a 10% commission on

Mathematics

2 answers:

AnnyKZ [126]3 years ago

7 0

The correct answer is:

C) $4269.90.

Explanation:

40 hours per week at 18.32:

40*18.32 = 732.80.

Over time is time and a half; this means:

18.32*1.5=27.48 per hour overtime.

5 hours of overtime per week would be:

27.48*5=137.40.

Together this makes:

732.80+137.40=870.20 per week.

There are 4 weeks in a month;

4*870.20=3480.80.

You make 10% commission on the sales; 10% = 0.1.

0.1*7891=789.10.

Add this to the monthly income:

3480.80+789.10=4269.90.

german3 years ago

4 0

Answer: b

Step-by-step explanation:

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6. Given that ABCD is a quadrilateral with A(-2,-2), B(1, 1),

irina1246 [14]

Answer:

it is a parallelogram

Step-by-step explanation:

so first plot out points and then you find the slope for each of the corresponding lines.

First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.

Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.

Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.

finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.

in conclusion there are two sets of parallel lines so you have a parallelogram

7 0

2 years ago

Part C: Of the following choices, which equation is the best fit line for the data

KatRina [158]

Step-by-step explanation:

Part C: Of the following choices, which equation is the best fit line for the data

As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.

So we have: C and D left.

Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.

D f(x) = -34x + 320

Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.

year 2010, x =5 so let substitute x =5 into f(x) = -34x + 320

<=> f(x) = -34*5 + 320

= 150 mil

The result is smaller than the real data, (201-150 = 51 mil)

Part E: In what year is the population predicted to go extinct

the population predicted to go extinct when f(x)= 0

<=> -34x + 320 = 0

<=> x ≈ 9.4

So after 10 years, the the population predicted to go extinct

3 0

3 years ago

An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.

bogdanovich [222]

1. Check the picture attached. Consider the half of the 8-sided die, that is the pyramid ABCDE:

2. The perimeter of the base is 6, so each side of the base is 6/4=3/2

3. The distance between the tallest points is 2 cm, si the height of Pyramid ABCDE is 1 cm.

4. Consider the right triangle EOM in the figure:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is $\sqrt{1+ ( \frac{3}{4} )^{2} }= \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4}$ (cm)

5. So side EBC has area
$\frac{1}{2}BC*EM= \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}$

6. The total area is 8*Area(EBC)= $8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )$