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larisa86 [58]
4 years ago
14

A sale person's daily earnings include $115 per day plus commission equal to x percent (in decimal form) of his daily sales. a.

Write an equation that can be used to find the commision percentage (x), if the salesperson's daily sales are $1565 and his total earnings for hat day are $240.20. b. What percent is the salesperson's commision?
Mathematics
1 answer:
horsena [70]4 years ago
5 0

Answer:

a. 115+1,565x=240.20

b.  8\%

Step-by-step explanation:

a. According to the information given in the exercise, you know that the sale person's daily earnings is the sum of $115 plus a commission of his daily sales.

Therefore, if his daily sales are $1,565, then his comission is given by:

1,565x

Knowing that  his total earnings for that day are $240.20, you can write the following equation which can be used to find "x":

115+1,565x=240.20

b. In order to find the commision percent (in decimal form) of the sale person's daily sales, you must solve for "x":

115+1,565x=240.20\\\\1,565x=240.20-115\\\\x=\frac{125.2}{1,565}\\\\x=0.08

Multiplying it by 100, you get it in percent form:

=0.08*100=8\%

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Step-by-step explanation:

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4 years ago
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frosja888 [35]

Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
miss Akunina [59]

Answer:

Here's what I get.

Step-by-step explanation:

Part A. Equation in standard form

The question is asking you to find the equation of a straight line that passes through two points

Let x = the number of days

and y = the cost

Then the coordinates of the two points are (2,225) and (5,480).

(i) Calculate the slope of the line

\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\& = & \dfrac{480 - 225}{5 - 2}\\\\& = & \dfrac{255}{3}\\\\& = & 85\\\end{array}

In other words, the daily rental is $85/day.

(ii) Calculate the y-intercept

\begin{array}{rcl}y & = & mx + b\\480 & = & 85 \times 5 + b\\480 & = & 425 + b\\b & = & 55\\\end{array}

(iii) Write the equation for the line

y = 85x + 55

That is, the cost is $55  plus $85/day

Part B. Equation in function notation

Replace y with ƒ(x)

ƒ(x) = 85x + 55

Part C. Graphing

Let's say you want to plot a graph of the rental cost for up to ten days.

(i) Calculate two points on the graph.

When x = 0, y = 85; when x = 10, y = 905.

(ii) Scale your axes

A good number of intervals is about ten.

Your x-axis should have tick marks at 1-day intervals.

Your largest y-value is 905. Ten intervals would make about $90/interval. However, you should round that up to $100/interval for easy interpolation.

Your y-axis will run from 0 to $1000 in $100 intervals.

Plot your two points and draw a straight line through them.

(iii) Axis labels

x represents the number of days, so the label on the x-axis could be "No. of days."

y represents the cost of renting the boat, so the label on the y-axis could be "Rental cost."

Your graph should resemble the one below.

4 0
4 years ago
What is the median of the data set 27, 36, 16, 31, 8
BabaBlast [244]

Hey!

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

Solution:

<em>Median is the middle number in a data set.</em>

~Arrange from least to greatest

27, 36, 16, 31, 8 → 8, 16, 27, 31, 36

~Find the median

8, 16, 27, 31, 36

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

Answer:

\large\boxed{27~is~the~median!}

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

Hope This Helped! Good Luck!

3 0
3 years ago
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