Answer:
The fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500
Step-by-step explanation:
Let
Cost per refrigerator (marginal cost) = r
Fixed costs per day for the factory = f
Total cost = variable cost + fixed cost
Monday
25,000 = 30r + f
Tuesday
30,000 = 40r + f
Using Monday,
f = 25000 -30r
Substitute f = 25000 - 30r into Tuesday
30,000 = 40r + f
30,000 = 40r + (25,000 -30r)
30,000 = 40r + 25,000 - 30r
Collect like terms
30,000 - 25,000 = 40r - 30r
5,000 = 10r
Divide both sides by 10
r = 5,000 / 10
= 500
r = $500
Substitute r= 500 into Monday equation
f = 25,000 -30r
= 25,000 - 30(500)
= 25,000 - 15,000
= 10,000
f = $10,000
Therefore, the fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
<em>Hence it takes 3 secs to reach the maximum height.</em>
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
<em>Hence the maximum height that the rocket reaches is 56m</em>
Nobody goes around with lists of greatest common factors in their head.
When we need to know one, we grab the nearest pencil and work it out.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40 .
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36 .
The common factors of 35 and 40 are 1, 2, and 4 .
The biggest one is 4 .
Answer: number 3, 35
Step-by-step explanation: i promise
I think it would go like this:[40- 2 (8+2)]=10 I think
