Sasha earns a $36,500 per year in salary and 12% commission on her sales at her job selling hair products to salons. What would her total sales have to be in order for her total income to fall between $52,000 and $58,000?

Answer 1

#color(blue)($129166.67 < "Sales value" < $179166.67)#

Given: Salary only is $36500

So, the range of commissions that are added to her pay is

#$52000" "$58000# #ul($36500)" "ul($36500) larr" subtracting salary"# #$15500" to "$21500 larr" range of commission (between)"#
#color(brown)("The use of the word 'between' means that it can not actually be those values.")#
Let the top of the sales range be #t# Let the bottom of the sales range be #b#

Next

#12/100t=$21500" " =>" " color(brown)(t=$179166.67" to 2 decimal places")#
#12/100b=$15500" "=>" "color(brown)(b=$129166.67" to 2 decimal places")#
#color(blue)($129166.67 < "Sales value" < $179166.67)#
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Answer 2

To find the total sales Sasha needs to achieve a total income between 52,000and52,000 and 58,000, first calculate the range of her commission income.

Minimum commission income = 12% of 52,000Maximumcommissionincome=1252,000 Maximum commission income = 12% of 58,000

Then, subtract her annual salary from these values to find the range of commission income.

Once you have the range of commission income, divide it by 12% to find the corresponding range of total sales.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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