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.
Y = 4/-3 - 1
The slope can either be -4/3 or 4/-3 and the y-intercept is (0,1)
Theirs no picture, I dong know if you forgot to put it along with it but theirs nothing to answer
We can set up a proportion.
32/128 = x/100
32 * 100 = 3200
128 * x = 128x.
Now we have 128x = 3200.
All we need to do is divide 3200 by 128, so 3200 / 128 = 25, so your answer is 25%.
Let 
and 
. By the product rule,
By the power rule, we have 
and 
, but 
are functions of 
, so we also need to apply the chain rule:
and we have
So we end up with
Replace to get everything in terms of :
We can simplify this by factoring:
