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ANTONII [103]
3 years ago
12

Kate Smith sells vacuum cleaners and is compensated under a combination plan. She earns $9.75 per hour, plus 15 percent of whate

ver she sells. Last month, Kate worked 160 hours and sold 9 vacuum cleaners. Five of the vacuum cleaners were high-end models priced at $1,100 each. The other four vacuum cleaners were $450 each. What is Kate’s compensation for last month?
Mathematics
1 answer:
irina1246 [14]3 years ago
5 0

Answer: $2,655

Step-by-step explanation:

She earns $9.75 per hour.

She earns 15% of whatever she sells.

She worked 160 hours

She sold 9 vacuum cleaners. (5 for $1,100 each) (4 for $450 each)

--------------------------------------------------------------------------------------------------------

Calculate the total earnings for 160 hours.

If she earns $9.75 per hour, multiply it by the total amount of hours she worked (160)

9.75*160=$1,560

Now calculate how much extra money she earned due to the sales.

To do this, we have to calculate 15% of the total price of sales.

She sold 5 vacuum cleaners for $1,100 each. Multiply to calculate the total earnings.

1100*5=$5,500

Do the same with the other 4 vacuum cleaners.

450*4=$1,800

Add up these two earnings for the total earnings.

5500+1800=$7,300

Calculate 15% of that.

To calculate percentages, convert to decimals first and then multiply. To convert to decimal, we take the percentage and divide it by 100.

15/100=0.15

Multiply

0.15*7300=$1,095

Finally, add her paycheck and extra money to calculate the total compensation for last month.

1560+1095=$2,655

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B. 0.5 or 50%

The answer would be B because there are 10 possible colors of marbles and an equal amount of them in the bag, you want to know the probability of picking five of the ten possible colors which is 50% of the total marble colors.

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4 years ago
What’s the square root of 25
Reptile [31]

Answer:

5

Step-by-step explanation:

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3 years ago
Sam drove 320 miles in 2.5 hours, how long will it take to drive 500 at the same rate (speed)?
frosja888 [35]

Answer:

<u>Sam would take to drive 500 miles in 4 hours and 34 minutes at the same speed.</u>

Step-by-step explanation:

It is easy to say that if Sam continues driving at the same speed it will take a little longer to drive the 500 miles.

If Sam drives 320 miles in 150 minutes (2.5 hours)

How long will it take to drive 500 miles at the same speed?

An equation called "rule of 3" can be applied:

320 miles = 150 minutes

500 miles = X?

X is cleared from the equation

X = (500 miles * 150 minutes) / 320 miles

X = 234.37 minutes

Now we spend 234.37 minutes at hours with the same rule of 3

1 hour = 60 minutes

 X = 234.37 minutes

Clearing X would give

X = (1 hour * 234.37 minutes) / 60 minutes

X = 4 hours and 34 minutes

Sam would take 500 miles in 4 hours and 34 minutes

3 0
3 years ago
Read 2 more answers
Which of the following describes the end behavior of f(x) = 2x 3x2 − 3 ? The graph approaches 0 as x approaches infinity. The gr
Arada [10]
1) An operator is missing in your statement. Most likely the right expression is:

               2x
f(x) = -------------
           3x^2 - 3

So, I will work with it and find the result of each one of the statements given to determine their validiy.

2) Statement 1: <span>The graph approaches 0 as x approaches infinity.


Find the limit of the function as x approaches infinity:

                                    2x
Limit when x →∞ of ------------
                                 3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

      2x / x^2                         2/x
--------------------------- = ---------------
  3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                      2/∞             0          0
Replace x with ∞ =>  ------------ =  ------- =  ---- = 0
                                    3 - 3/∞        3 - 0      3

Therefore the statement is TRUE.

3) Statement 2: The graph approaches 0 as x approaches negative infinity.

</span><span><span>Find the limit of the function as x approaches negative infinity:

                                        2x
Limit when x → - ∞ of ------------
                                     3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

      2x / x^2                         2/x
--------------------------- = ---------------
  3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                        2/(-∞)           0            0
Replace x with - ∞ =>  ------------ =  ---------- =  ---- = 0
                                      3 - 3/(-∞)      3 - 0        3

Therefore, the statement is TRUE.</span>


4) Statement 3: The graph approaches 2/3 as x approaches infinity.

FALSE, as we already found that the graph approaches 0 when x approaches infinity.

5) Statement 4: The graph approaches –1 as x approaches negative infinity. </span>

FALSE, as we already found the graph approaches 0 when x approaches negative infinity.
4 0
4 years ago
Read 2 more answers
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jonny [76]

Answer:

m + 30 ; $36

Step-by-step explanation:

Given that:

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Fruits needed :

Apple (m) ; cost = $3 per piece

Oranges (o) ; cost = $2 per piece

Amount spent on fruits :

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3m + 2(15 - m)

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3m - 2m + 30

m + 30

Amount spent if 6 apples is purchased :

m = 6

m + 30

6 + 30 = $36

8 0
3 years ago
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