1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zubka84 [21]
3 years ago
9

A restaurant offers a catering service which costs $19.50 per person with a $91.75 service charge. For parties of 70 or more peo

ple, a group discount applies, and the cost is $15.00 per person along with the service charge dropping to $45.00. Write a piecewise-defined linear function which calculates the total cost T of the catering service which serves n people.
Business
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

1. T=19.5n+91.75, where n<70

2. T=15n+45, where n≥70

Explanation:

1. The first linear function can be expressed as;

Total cost of catering services=(Cost per person×number of people, n)+Service charge

where;

Total cost of catering services=T

Cost per person=$19.50

Number of people=n

Service charge=$91.75

Replacing;

T=(19.5×n)+91.75

T=19.5n+91.75

The first equation: T=19.5n+91.75, where n<70

2. The second linear function can be expressed as;

Total cost of catering services=(Cost per person×number of people, n)+Service charge

where;

Total cost of catering services=T

Cost per person=$15

Number of people=n

Service charge=$45

Replacing;

T=(15×n)+45

T=15n+45

The second equation: T=15n+45, where n≥70

You might be interested in
Corporations with control both within and across industries are formed by a series of mergers and acquisitions across industries
Zielflug [23.3K]

Answer:

conglomerate                

Explanation:

In simple words, A conglomerate refers to the multi-industry corporation, which is a mixture of many enterprises operating within one organizational group in completely different sectors, which can include a holding company and several branches.

The conglomerates are always global and massive. The predominant conglomerates consolidate financial risk through investing in a variety of different industries, although other conglomerates opt to engage in a single sector, like those in mines.        

6 0
3 years ago
Included in Sage Company’s December 31, 2020, trial balance are the following accounts: Prepaid Rent $5,870, Debt Investments (t
Sunny_sXe [5.5K]

Answer:

Step 1:

Start by setting it up with the divisor 20 on the left side and the dividend 16 on the right side like this:

           

 2 0 ⟌ 1 6  

Step 2:

The divisor (20) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 2 0 ⟌ 1 6  

Step 3:

Multiply the divisor by the result in the previous step (20 x 0 = 0) and write that answer below the dividend.

       0    

 2 0 ⟌ 1 6  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 2 0 ⟌ 1 6  

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (6) like this:

       0    

 2 0 ⟌ 1 6  

     - 0    

       1 6  

Step 6:

The divisor (20) goes into the bottom number (16), 0 time(s). Therefore, put 0 on top:

       0 0  

 2 0 ⟌ 1 6  

     - 0    

       1 6  

Step 7:

Multiply the divisor by the result in the previous step (20 x 0 = 0) and write that answer at the bottom:

       0 0  

 2 0 ⟌ 1 6  

     - 0    

       1 6  

        0  

Step 8:

Subtract the result in the previous step from the number written above it. (16 - 0 = 16) and write the answer at the bottom.

       0 0  

 2 0 ⟌ 1 6  

     - 0    

       1 6  

     -   0  

       1 6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 16 divided by 20 calculated using Long Division is:

0

16 Remainder

Explanation:

8 0
3 years ago
What is a personal value? Help
Nataly_w [17]

Answer:

A.

brainliest if correct please!!!!!!

Explanation:

5 0
3 years ago
Read 2 more answers
The _______ is the act of Limiting the amount of certain goods that civilians can buy
Drupady [299]

Rationing is is the act of Limiting the amount of certain goods that civilians can buy. Rationing became common during the Second World War. Ration stamps were often used. These were redeemable stamps or coupons, and every family was issued a set number of each kind of stamp based on the size of the family, ages of children and income.

7 0
3 years ago
Which one of the following is a capital structure decision?
nirvana33 [79]

Answer:

B

Explanation:

Capital Structure decision is determining the optimal way of raising capital either through Equity or Debt.

8 0
3 years ago
Other questions:
  • Michael is the new department head at his company. he expects everyone to agree with his restructuring plan for the department,
    10·1 answer
  • Atlanta​, ​Inc., planned and actually manufactured 180,000 units of its single product in 2017​, its first year of operation. Va
    13·1 answer
  • Carol typed a memo to distribute to everyone in her department. To create this memo, she used a _____.
    6·1 answer
  • Is it 50 hours in a day ?
    10·2 answers
  • In the current year, Norris, an individual, has $59,000 of ordinary income, a net short-term Capital loss (NSTCL) of $9,100 and
    15·1 answer
  • Jane and Bart organized food truck business- Just Best Food Inc (JBF Inc.). JBF Inc. decided to follow accrual method of account
    13·1 answer
  • The statement of cash flows reports all but which of the following: Multiple Choice
    14·1 answer
  • The company's adjusted trial balance includes the following account balances cash is 15000 equipment is 85000 accumulated deprec
    12·1 answer
  • A firm operated at 80% of capacity for the past year, during which fixed costs were $198,000, variable costs were 66% of sales,
    5·1 answer
  • Since 2009, the Age Discrimination in Employment Act: Multiple choice question. has been broadened to include those from 15-40 r
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!