Assume r= t not sure if you mistyped this.
t = 15 min
T(t) = 68 (0.5)^(15/10) = 24 Celsius
31 = (0.5)^(t/10) take ln
ln31 = (t/10) ln (0.5) + ln68
t = (ln32 - ln 68/ln0.5) * 10 = 11.3 min
Answer:
It is m(x) = 20,000(0.97)^x.
Step-by-step explanation:
After 1990, each year has (100-3) = 97% ( or 0.97) of visitors that it had the previous year.
So m(x) = 20,000(0.97)^x (answer).
Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have
This value also equals by bigger triangle as
From these two we get
h = height of street light =
Start from the end. 5+4*2. Which in turn equals 18 inches.
Economic Order Quantity
The economic order quantity, that is, the order quantity that minimizes the inventory cost is:
300 cases of tennis balls
Data and Calculations:
Sales of tennis balls for the coming year = 10,000 units
Carrying (holding) costs per case = $10
Cost of placing orders with the manufacturer = $45 per order
Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case
= square root of (2 * 10,000 * $45)/$10
= square root of 90,000
= 300 tennis balls
This implies that the distributor will place about 33 orders in the coming year. With each order, the quantity placed is 300 units. This is the economic order quantity that will minimize its inventory cost for the year.
