water is running into a bathtub at a constant rate after 2 minutes the tub is filled with 2.5 gallons of water write two equatio
1 answer:
Answer:
w = 1.25 t
The constant 1.25 denotes the rate of water flowing in the tub per minute.
Step-by-step explanation:
Water is running into a bathtub at a constant rate.
In 2 minutes , 2.5 gallons of water is filled in the tub. We are supposed to find the relation between the amount of water and the time taken and we also have to find the definition of the constant of proportionality.
Let w be the amount of water and t be the time taken in minutes.
The rate at which water is filled in the tub =
= 1.25 gallons/minute
The water filled , w = 1.25 t
The constant 1.25 denotes the rate of water flowing in the tub per minute.
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Answer:
85.6 cm^2
Step-by-step explanation:
The area of the central triangle bounded by each of the sides can be computed as ...
A = (1/2)r²sin(α) . . . . where α is the central angle, 360°/5 = 72°
There are 5 such triangles, so the area of the pentagon is ...
A = (5/2)(6 cm)²sin(72°) ≈ 85.595 cm²
The area of the regular pentagon of radius 6 cm is about 85.6 cm².
From the question we are told that:
Year 1= \$110
Year 2 = \$121
Risk free rate is
Risk premium
a)
Generally, the equation for Equity Return is mathematically given by
Therefore Present Value (PV) is
b)
Generally, the equation for certainty-equivalent cash flow is mathematically given by
Therefore
For Certainty-equivalent cash flow Year One
For Certainty-equivalent cash flow Year Two
c)
The Ratio of the certainty-equivalent cash flows to the expected cash flows in years 1 and 2 could be written as
or