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dimaraw [331]
2 years ago
7

Alex is a stockbroker. He earns 12​% commission each week. Last​ week, He sold ​$ 7,200worth of stocks. How much did he make las

t week in​ commission? If he averages that same amount each​ week, how much did he make in commission in​ 2011?
Mathematics
1 answer:
Anvisha [2.4K]2 years ago
3 0

Answer:

12 Percent of 7,200 is 864. If you multiply that by 52 (Weeks in 2011) it will be $44,928

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If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x
dybincka [34]

Answer:

The correct answer is x = 6.

Step-by-step explanation:

To solve this problem, we first must recognize that DE + EF = DF.

From this information, we can set up the following equation when we substitute in the given values:

DE + EF = DF

(4x-1) + 9 = 9x - 22

Our first step is going to be to combine like terms on the left side of the equation.  This is modeled below:

4x - 1 + 9 = 9x - 22

4x + 8 = 9x - 22

Then, we should subtract 4x from both sides of the equation.

8 = 5x - 22

Now, we can add 22 to both sides of the equation.

30 = 5x

Finally, we can divide both sides by 5.

x = 6

Therefore, the correct answer is x = 6.

Hope this helps!

6 0
2 years ago
Spencer took $21 with him to the mall. At the music store he spent 2/3 of his money on a DVD. Then spent 1/4 on a drink. How muc
frutty [35]
After the music store he had $14 left, because 21:3=7 and 7x2 equals 14.

After the drink, he has $3.5 left, because 14:4=3.5 and 3.5x1=3.5.

Conclusion: that is one expensive drink. (Answer is 3 dollars and 50 cents. Hope this helped:)
6 0
2 years ago
Read 2 more answers
The tire franks bike moves 75 inches in at one rotation how many rotations will the tire have made after frank rides 50 feet
nexus9112 [7]
8
75 in. = 6.25 ft.
50 ft ÷6.25 = 8
5 0
3 years ago
Please tell me !!!!!!
vlada-n [284]

Answer:

H

Step-by-step explanation:

Its H because a square has 4 sides and 58 divided by 4 is 14.5

8 0
3 years ago
Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte
stich3 [128]

The probability of winning a lottery by selecting the correct six integers, are

\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}

<h3>What is binomial distribution?</h3>

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other twenty-four.

\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}30 \\0\end{array}\right)}{\left(\begin{array}{c}36 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}36 \\6\end{array}\right)}=5.13 \times 10^{-7}

Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}36 \\0\end{array}\right)}{\left(\begin{array}{c}42 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}42 \\6\end{array}\right)}=1.91 \times 10^{-7}

Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}

To know more about binomial probability, here

brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

5 0
2 years ago
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