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ss7ja [257]
3 years ago
5

John's monthly paycheck consists of $4,000 plus a 9% commission on all of his sales. During one month, John earned $11,650. What

were his sales during that month?
Mathematics
1 answer:
MrRa [10]3 years ago
7 0

The problem statement tells us ...

... paycheck = 4000 + 0.09×sales

and that the paycheck amount is 11650. Substituting that into the above equation and solving for sales, we have ...

... 11650 = 4000 + 0.09×sales

... 7650 = 0.09×sales . . . . . . . . . . subract 4000

... 7650/0.09 = sales = 85000 . . . divide by 0.09

John's sales during that month were $85,000.

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Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. The mileage per day
Montano1993 [528]

Answer: 0.1824

Step-by-step explanation:

Given : The mileage per day is distributed normally with

Mean : \mu=110\text{ miles per day}

Standard deviation :  \sigma=38\text{ miles per day}

Let X be the random variable that represents the distance traveled by truck in one day .

Now, calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x= 132 miles per day.

z=\dfrac{132-110}{38}\approx0.58

For x= 159 miles per day.

z=\dfrac{159-110}{38}\approx1.29

Now by using standard normal distribution table, the  probability that a truck drives between 132 and 159 miles in a day will be :-

P(132

Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824

6 0
3 years ago
Multiply. Write the answer in simplest form.<br> 1/2 x 3/5 x 4/9
dexar [7]

Answer:

4/75

Step-by-step explanation:

5 0
3 years ago
Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive?
zmey [24]

The function is positive when x is larger than 3, then the interval in where the function is positive is: (3, ∞)

<h3>on what interval is the function positive?</h3>

The function is positive when g(x) > 0.

Then we need to solve:

∛(x - 3) > 0

We can directly remove the cubic root, because it does not affect the sign of the argument, then:

x - 3 > 0

x > 3

The function is positive when x is larger than 3, then the interval in where the function is positive is: (3, ∞)

If you want to learn more about functions:

brainly.com/question/2456547

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5 0
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There is an app called photo math it might help you
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3 years ago
Solve the linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.
maxonik [38]
To solve for this we will follow PEMDAS to arrive at the correct answer so we have the following:
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1 \\  - 9.5j - 5.5 = 0.5j - 1 \\  - 10j = 4.5 \\ j =  \frac{4.5}{ - 10}  = - 0.45
Based on calculations the correct answer is A
7 0
3 years ago
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