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Marat540 [252]
4 years ago
10

Cole gets paid $5,000 plus 16% of all his popcorn sales,x, while Michael gets A fixed salary of $55,000.Write an inequality that

represents the dollar amount of sales that Cole must generate each in order to make more than Michael
Mathematics
1 answer:
Hitman42 [59]4 years ago
4 0

Answer:

5000 + (0.16)x > 55,000

Step-by-step explanation:

<u><em>DATA:</em></u>

Michael's salary = $55,000

Cole's basic salary = $5,000

--> Commission = 16% of sales

--> Sales = x

<u><em>Cole's total salary</em></u>

<em>--> Basic salary + Commission x sales</em>

--> 5000 + 16% of x

--> 5000 + (0.16)x  as 16 percent is equal to 16/100 = 0.16

<u><em>Cole's total salary should be more than Michael's total salary</em></u>

5000 + (0.16)x > 55000

<em>--> Make x the subject</em>

0.16x > 55000-5000

0.16x > 50,000

x > 50,000/0.16

x > 312500

The inequality that represents the dollar amount of sales is 5000 + (0.16)x > 55000.

The dollar amount of sales that Cole must generate should be more than $312500.

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Phoenix [80]

Answer:

y=20(2)^x

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

y=ab^x

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

20=a(b)^0

Simplify:

20=a(1)\Rightarrow a=20

So, our exponential function is now:

y=20(b)^x

Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

1280=20(b)^6

Solve for <em>b</em>. Divide both sides by 20:

64=b^6

Therefore:

b=\sqrt[6]{64}=2

Hence, our function is:

y=20(2)^x

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3 years ago
Use the change of base formula to approximate the solution to log0.515 = 1 – 2x. Round to the nearest hundredth.
schepotkina [342]

Answer:

-2

Step-by-step explanation:

6 0
3 years ago
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Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming poo
kolezko [41]

Let <em>x</em> and <em>y</em> be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2<em>x</em> + <em>y</em> = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

<em>x</em> + 3<em>y</em> = 0.25

Solve for <em>x</em> and <em>y</em>. We have

<em>y</em> = 0.25 - 2<em>x</em>   ==>   <em>x</em> + 3 (0.25 - 2<em>x</em>) = 0.25

==>   <em>x</em> + 0.75 - 6<em>x</em> = 0.25

==>   5<em>x</em> = 0.5

==>   <em>x</em> = 0.1

==>   <em>y</em> = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

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meaning they can fill 3/5 of a pool in one hour. If it takes time <em>t</em> to fill one pool, we have

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Answer:

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B

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3 years ago
“Solve each inequality and graph its solution. Show work.”
Cloud [144]

Answer:

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Step-by-step explanation:

Given

|-5-p| > 11

Required

Solve and graph

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Solve for p

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<em>See attachment for plot</em>

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