Answer:
Step-by-step explanation:
C = 5(68 - 32)/9
= 5(36)/9
= 180/9 = 20
C = 20
Answer:
a) $109
b) 
c) 
Step-by-step explanation:
a) The marginal cost, or the cost per additional unit, is given by the derivate of the cost function:
b) Profit is given by Revenue minus Cost:
c) The marginal profit for 8 units, is given by the difference in profit for 9 units and 8 units:
We need the exponents law
So if
a=3
b=1/2
then
where x represent every half a year.
Answer:
t=5/3
Step-by-step explanation:
in order to get our answer, we have to first open it up which comes to 3t-6=-1
next,we have to isolate the variable, so we add (6) to (-1)
then we get 3t=5
so, t=5/3
Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
