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:
Geometric sequence
Step-by-step explanation:
Since the accidents increase by 5% this represents that the number is increasing exponentially . So the sequence is geometric sequence. The geometric sequence can be represented by: a, ar, ar^2, ar^3...
Answer:
Step-by-step explanation:
24 X c,
24 ÷ c,
24 + c,
24 - c,
24c
y=-16t²+400
add -16t² to both sides
-16t²=-400
divide both sides by 16
t²=-25
t=√25
t=5
So in 5 seconds the camera will hit the water.