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:
answer 90
Step-by-step explanation:
since the sum of the external angles
triangle is 180
internal equal to 90
Answer:
The object will reach its highest point 0.5 seconds after it has been thrown.
Step-by-step explanation:
The object reaches its maximum height when velocity is equal to zero, the velocity is the derivative of function height. That is:
(1)
Where is the velocity of the object at time , in feet per seconds.
If we know that and , then the time when object reaches its highest point is:
The object will reach its highest point 0.5 seconds after it has been thrown.
Answer: -5
Step-by-step explanation: