Given: julianne total startup cost = $52000
Operating cost per day =$680
Earn money from her lesson fee per day = $960
Find out the inequality of situation
Given d be the number of days
To proof: julianne spends on operating cost in d day = $680d
julianne earn from lesson fee in d day = $960d
Total profit in d day = 960d-680d
Part A) Total profit should be greater than 52000. Because this is startup investment.
According to question inequality becomes

Part B) Now solve for d


After 186 days, Julianne will get profit from dance studio.
44

-3x + 2 > 14.
-2 -2 -2
42

-3x > 12
-------------------------------------
-3 -3 -3 (dividing with inequalities by a negative flips the inequality symbol)
-14

x < -4

now
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
therefore,

Answer:
p=32
Step-by-step explanation:
Step-by-step explanation:
1550 - 395 = 1155
1155 / 82.5 = 14
Answer should therefore be 14 weeks.
Not my usual way of doing this sort of question but I'm interested to see if it's right. Alternatively you can subtract $82.50 from $1550 until/before you reach $395. Do not go below $395 though.