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bonufazy [111]
2 years ago
14

Michael's bank account opened with $100. 5 weeks after opening, his account balance was $250.

Mathematics
1 answer:
cupoosta [38]2 years ago
8 0
I am pretty sure it is $400. sorry if i’m wrong
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Prove: If a^2-a is even then a is even.
Alla [95]

This is not always true. Consider a=3. Then 3^2-3=9-3=6 is even, but a is odd.

6 0
3 years ago
Please help me with this word problem!!!
Inessa [10]

Answer:

The number of customers needed to break even is

\simeq 6775.

Step-by-step explanation:

Rent per month = $ 7200

Rent per year, $ 7200 \times 12

                        = $ 86400 -------------(1)

Insurance per year = $ 4200 ---------(2)

Total  direct cost  for 2 servers (withoout  tax) per year,

= $ 2 \times 15 \times 8 \times 5 \times 50

= $ 60000

Total cost for helper ( without tax) per year,

= $ 4 \times 15 \times 5 \times \50

= $ 15000

Total cost for employees per year (without tax),

= $ (60000 +15000)  = $ 75000

Total cost per year for employees including tax,

$ \frac {(75000 \times (100 + 6.2 + 1.45)}{100}

= $ \frac {(75000 \times 107.65 }{100}

= $ 80737.5 -----------------------(3)

So,

total cost for running the restaurant (except food)

= (1) + (2) + (3) = $ (86400 + 4200 + 80737.5)

= $ 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,

= \frac {171337.5}{25.29}

\simeq   6775

7 0
2 years ago
What's two thirds plus six seventh?
vfiekz [6]

Answer:

32/21

Step-by-step explanation:

multiply (2/3) by (7/7) and (6/7) by (3/3). (14/21) + (18/21) is (32/21)

7 0
2 years ago
Read 2 more answers
Shipping costs $0.15 per cubic inch. How much will Marcia pay to ship the box? * A.$20 B.$30 C.$40 D.$50
julia-pushkina [17]

Answer:

5×4= 20

20×10= 200

200×0.15 = 30

B. $30

8 0
2 years ago
A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
yarga [219]

Answer: 74 children attended

86 students attended

37 adults attended

Step-by-step explanation:

Let x represent the number of children that attended.

Let y represent the number of students that attended.

Let z represent the number of adults that attended.

The movie theater has a seating capacity of 197. It means that

x + y + z = 197- - - - - - - - - - - - -1

The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. If the total ticket sales was $ 1416, It means that

5x + 7y + 12z = 1416- - - - - - - - - - 2

There are half as many adults as there are children. It means that

It means that

z = x/2

x = 2z

Substituting x = 2z into equation 1 and equation 2, it becomes

2z + y + z = 197

y + 3z = 197- - - - - - - - - - - - -3

5 × 2z + 7y + 12z = 1416

10z + 7y + 12z = 1416

7y + 22z = 1416- - - - - - - - - - - 4

Multiplying equation 3 by 7 and equation 4 by 1, it becomes

7y + 21z = 1379

7y + 22z = 1416

Subtracting, it becomes

- z = - 37

z = 37

x = 2z = 2 × 37

x = 74

Substituting x = 74 and z = 37 into equation 1, it becomes

74 + y + 37 = 197

y = 197 - 74 - 37

y = 86

5 0
3 years ago
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