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Ber [7]
3 years ago
5

melissa runs a landscaping business. She has equipment and fuel for $343 per month. If she charges $46 for each lawn, how many l

awns must she service to make a profit of at least $800 a month?
Mathematics
1 answer:
dexar [7]3 years ago
8 0
We can find this by creating a function to represent how many lawns she's mowed. 


f(x) = 46x - 343

The 46x represents the profit of 46 dollars per month for each lawn mowed and the -343 is the cost of fuel per month to remove it from profit. We now need to set this function to 800, and solve for x.

800 = 46x - 343
1143 = 46x
25.58 = x

Because she can't mow part of a lawn, we need to round to a whole number. Our options are to round down to 25 or round up to 26. Lets start with the lower number first, and see if the profit for that many lawns is over 800.

f(25) = 46(25) - 343
f(25) = 1150 - 343
f(25) = 807

Because 25 is over 800 dollars, we don't need to calculate 26. Therefore, she needs to mow at least 25 lawns to make a profit of at least 800 dollars a month.
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Answer:

*  The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.

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Step-by-step explanation:

Recall that a penny is a money unit. It is created/produced, just like any other commodity. As a matter of fact, almost all types of money or currency are manufactured; with different materials ranging from paper to solid metals.

A group of pennies made in a certain year are weighed. The variable of interest here is weight of a penny.

The mean weight of all selected pennies is approximately 2.5grams.

The standard deviation of this mean value is 0.02grams.

In this context,

*  The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.

* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.

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Hence, the weight of each penny in this study, falls within

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