Julianne opens a dance studio. her start-up costs for the building, advertising, and supplies total $52,000. each day, she spends $680 on operating costs (like utilities and wages). she earns $960 per day from her students' lesson fees. part a: write an equation or inequality to represent this situation. let d be the number of days. part b: when will lulianne begin making a profit? show all the work you did to arrive at your answer

Answer-

Solution-

Julianne's start-up cost = $52,000

Daily operating costs = $680

Daily earnings = $960

And the number of days = d

The inequality that represents this situation,

⇒

In order to be in profit, she must surplus the initial investment and the daily expenses. The time taken by her to be in profit,

⇒

∴ So after 186 days of starting the business, she will start making profits.

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368