The sequence is given to be:

The nth term of an arithmetic sequence is calculated using the formula:

where a₁ is the first term, n is the number of terms, and d is the common difference.
From the given sequence, the following parameters can be gotten:

Therefore, the parameters can be substituted into the formula to find the 52nd term:

The 52nd term is -438.
Multiply the bracket by 6
6(-p+8)= -6p + 12
-6p+48= -6p+12
Move -6p from right side to left side
Sign changes from -6p to +6p
-6p+6p+48= -6p+6p+12
48= 12 ( No solution )
Answer : No solution
Answer: Danny's supermarket
Step-by-step explanation:
Danny's price- 0.75x1.5= $1.12 for 1 liter water bottle
Marta's price- $1.50 for 1.25 liter water bottle
1.12x1.25=1.40, if Danny was selling a 25% bigger bottle(making the bottle size equal to Marta's) it would cost $1.40, the lower price
Answer:
The number of customers needed to break even is

Step-by-step explanation:
Rent per month = $ 7200
Rent per year, $ 
= $ 86400 -------------(1)
Insurance per year = $ 4200 ---------(2)
Total direct cost for 2 servers (withoout tax) per year,
= $ 
= $ 60000
Total cost for helper ( without tax) per year,
= $ 
= $ 15000
Total cost for employees per year (without tax),
= $ (60000 +15000) = $ 75000
Total cost per year for employees including tax,
$ 
= $ 
= $ 80737.5 -----------------------(3)
So,
total cost for running the restaurant (except food)
= (1) + (2) + (3) = $ 
= $ 171337.5
Average total profit per customer,
= ( Average per customer payment - average cost of food per customer)
= $ (45.47 - 20.18)
= $ 25.29
So, total number of customer needed to break even,
= 
\simeq 6775
Answer:
it can either be written as x > -1 and x < 2 or as -1 < x < 2.
Step-by-step explanation:
The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.