a. An asset that generates $7200 yearly income if the interest rate 5% compounded continuously, then its capital value is $140433.002
b. An asset that generates $7200 yearly income if the interest rate 10% compounded continuously, then its capital value is $68460.59
<u>Step-by-step explanation:</u>
For continuously compound interest
---------------> eq.1
Where
P = principal amount (initial investment)
r = annual interest rate (as a decimal)
t = number of years
A = amount after time t.
Let’s solve the equation
Where,
P is unknown
A = P + 7200 (asset after 1 year) ---------------> eq. 2
<u>Case A:
</u>

t = 1 (1 year)
Substitute all values in the formula (2) using the formula (1),






<u>Case B:</u>

t = 1 (1 year)
Substitute all values in the formula (2) using the formula (1),






Answer:
The height of the function for any number of pounds between 0 and 100 is 0.01.
Step-by-step explanation:
As described, the probability density function is a uniform probability density function, between the values 0 and 100 pounds.
To calculate the height h of the probability density function, we can write:

If we solved this integration and rearrange

The value of the height of the probability density function is 0.01 for every value between 0 and 100 pounds.
What? That dose not make any sense
Answer:
C. 5 miles
Step-by-step explanation:
Since we need to find how many miles they ran together, let us convert feet to miles. Sarah's length is already in miles so we'll leave it that way.
Jaime ran 15840 feet. We are given how many feet are there in one mile (5280), so we need to find how many miles are there in 15840 feet.
x = 15840 / 5280 = 3 miles.
So, Jaime ran 3 miles and Sarah ran 2 miles.
That means that together they ran 3 + 2 = 5 miles.
Answer:
$49.20
Step-by-step explanation: