The equation is: 
and Julianne will begin making a profit after 168 days.
<em><u>Explanation</u></em>
Her total start-up cost is $52,000.
Each day, she spends $650 on operating costs (like utilities and wages) and she earns $960 per day from her students' lesson fees.
If the number of days to overcome the start-up cost is 
, then
the total operation cost spent in days 
and
the total students' lesson fees earned in days 
<em><u>Part A:</u></em> The equation to represent the situation will be:
<u><em>Part B:</em></u><em> </em><em> </em>Julianne will begin making a profit when....
So, Julianne will begin making a profit after 168 days.
Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
41.1 is the answer to this question.
