Answer:
Explanation:
<u>1. Model:</u>
i) Profit = Revenue - Cost
ii) Revenue = price × number of items
iv) Cost = variable cost + fixed expense
<u>2. Solution</u>
i) Revenue = $ 57 / item × 419 items
ii) Cost = $ 23 / item × 419 items + $5,984
iii) Profit = $ 57×419 - ($23×419 + $5,985)
Profit = $ 23,883 - ($ 9637 + $ 5,984) = $ 23,883 - $ 15,621
Profit = $ 8,262 ← answer
Answer: 3
Explanation:
It is useful to summarise the information in the form of a table with columns for distance, speed and time.
Remember if you know two of these, you can write an expression or answer for the third one.
s = d/t and t = d/s and d = s × t
We have that the speed on Monday was x miles per hour and the time, 1/2 an hour. We can find the distance as x × 1/2
Show this on the table and then complete it for Tuesday as well.
Distance Speed Time
−−−−−−−−−−−−−−−−−−−−−−−−
Monday 1/2 x x 1/2
Tuesday 1/2 x (x-2) 3/4
The speed on Tuesday can be given in two ways:
It is the same as on Monday (1/2 x) or as s × t
Form an equation: 3/4 (x-2) = 1/2 x
4 x 3/4 (x-2) = 4 x 1/2 x ← x 4
3 (x-2) = 2x
3x - 6 = 2x
x = 6 ← this was the speed on Monday.
The distance run on Monday was 1/2 x 6 = 3 miles
Answer:
x = 5
Step-by-step explanation:
Sum of angles = 180, so
60 + 80 + 8x = 180
140 + 8x = 180
8x = 180 - 140 = 40
x = 40/8 = 5
If you pay $400 down, plus $80 for the next 12 months, that means you're paying (80*12)+400 which is equal to $1360. You're saving $100 by paying the entire total up front.
Answer:
There are 4 common factors of 30 and 72, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 30 and 72 is 6.
Step-by-step explanation:
84/18=14/3
60/32=15/8
