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Greeley [361]
4 years ago
7

Employees at electronic stores make 2% of their monthly sales in commission. If Andy sells $3,178 last month what is his commiss

ion?
Mathematics
1 answer:
Serggg [28]4 years ago
3 0
100% = $3,178
1% = $31.78
2 % = $63.56

Therefore on last moths sales commission, Andy earned $63.56.
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I just need some help solving this question, i’m not sure what to do
KonstantinChe [14]

From the double-angle identity,

cos2x=2*sinx*cosx

we can rewritte our given equation as:

4sinxcosx-2cosx=0

By factoring 2cosx on the left hand side, we have

2cosx(2sinx-1)=0

This equation has 2 solutions when

\begin{gathered} cosx=0\text{ ...\lparen A\rparen} \\ and \\ 2sinx-1=0\text{ ...\lparen B\rparen} \end{gathered}

From equation (A), we obtain

x=\frac{\pi}{2}\text{ or }\frac{3\pi}{2}

and from equation (B), we have

\begin{gathered} sinx=\frac{1}{2} \\ which\text{ gives} \\ x=\frac{\pi}{6}\text{ or }\frac{5\pi}{6} \end{gathered}

On the other hand, we can find one more solution from the original equation by substituting x=0, that is,

\begin{gathered} 2ccos(2\times0)-2cos0=0 \\ which\text{ gives} \\ 2\times1-2\times1=0 \\ so\text{ 0=0} \end{gathered}

then, x=0 is another solution. In summary, we have obtained the following solutions:

\begin{gathered} x=0 \\ x=\frac{\pi}{2}\text{or}\frac{3\pi}{2}\text{ and } \\ x=\frac{\pi}{6}\text{or}\frac{5\pi}{6} \end{gathered}

However, the intersection of the last set is empty. So the unique solution is x=0 as we can corroborate on the following picture:

Therefore, the solution set is: {0}

7 0
1 year ago
Someone please help me
SOVA2 [1]
Gosh, when I saw that my mind went blank
6 0
3 years ago
Rodney rented a machine for $70.00 to make popcorn at a school event. In addition to the machine rental cost, the popcorn suppli
Olin [163]

Answer:

100$

Step-by-step explanation:

he profit from 1 popcorn=0.85$

from 200=170$

170$-70$=100

3 0
4 years ago
Read 2 more answers
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room
nasty-shy [4]
Dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
<span>C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft</span>²
<span>
The answer a the question 1) is 16.50 feet X 13.50 feet</span>

The answer a the question 2) is 222.75 ft²

<span>3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?

if </span><span>two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour</span><span>
four person </span>carpet crew can lay 100 square feet of carpet---------- > 1 hour

therefore

if  100 ft² carpet----------------------- > 1 hour
 222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours

The answer is 2.23 hours

6 0
3 years ago
A motorboat travels 441 kilometers in 9 hours going upstream and 388 kilometers in 4 hours going downstream. What is the rate of
lianna [129]

Answer:

The rate of the boat in still water is 73 km per hour, and the speed of the current is 24 km per hour.

Step-by-step explanation:

Given that a motorboat travels 441 kilometers in 9 hours going upstream and 388 kilometers in 4 hours going downstream, to determine what is the rate of the boat in still water and what is the rate of the current, the following calculation must be performed:

Upstream = 441/9 = 49 km per hour

Downstream = 388/4 = 97 km per hour

(97 + 49) / 2 = X

146/2 = X

73 = X

97-73 = 24

49-74 = -24

Therefore, the rate of the boat in still water is 73 km per hour, and the speed of the current is 24 km per hour.

7 0
3 years ago
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