Answer:
g=
2x+9
/3x
Step-by-step explanation:
<span>Given ratio between the base angle and vertical angle of an isosceles traingle is 2:5
⇒ base angle / vertical angle = 2 / 5
let base angle = x
⇒ verticle angle = (5/2)x
we know that
verticle angle + base angle + base angle = 180°
⇒ ( 5/2 + 1 + 1 ) x = 180°
⇒ (9/2)x = 180°
⇒ x = ( 180° x 2) / 9
⇒ x = 40°
verticle angle = (5/2) x 40° = 100°
</span>
Answer:
a) Recommended order quantity = 79.84 = 80
b) recorder point = 35
Safety stock = 10
Safety stock cost = $0/year
ci) P(stock out/cycle) = 0.1587
cii) Number of stock outs/ year = 2
Step-by-step explanation:
The pictures attached show a clear explanation of all the processes.
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
