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),






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J + t = 30
j = 2t - 3
2t - 3 + t = 30
3t - 3 = 30
3t = 30 + 3
3t = 33
t = 33/3
t = 11 <=== tritt's age is 11
j = 2t - 3
j = 2(11) - 3
j = 22 - 3
j = 19 <== jan's age is 19
Answer:y=42
Step-by-step explanation:
1. 2700 degrees. 450 rotations in on minute is 450(360) degrees per minute. If you divide this by 60 you get 2700.
2. 180 degrees. 4.3 rotations per minute is 4.3 times 360 degrees per minute. Multiply that times 5, and divide the answer by 360 and you get 21.5, which means he is 180 degrees from his starting point.