Answer:
(a) The future value after 9 years is $7142.49.
(b) The effective rate is 
.
(c) The time to reach $13,000 is 21.88 years.
Step-by-step explanation:
The definition of Continuous Compounding is
If a deposit of 
dollars is invested at a rate of interest 
compounded continuously for 
years, the compound amount is
(a) From the information given
Applying the above formula we get that
The future value after 9 years is $7142.49.
(b) The effective rate is given by
Therefore,
(c) To find the time to reach $13,000, we must solve the equation
Which of what following? Is it suppose to be multiple choice?
The first thing any good mathematician does is convert the measurements to the same unit as what the question is asking. In this problem, it states that the pool fills at a rate of 20 cubic meters per hour. Just keep in mind that an hour is 60 minutes.
The next step is to see how many cubic meters will cost $300. This can be done by dividing 300 by 10. This gets you 30 cubic meters of water.
You already know that 60 minutes is 20 cubic meters of water. That leaves the remaining 10 cubic meters of water. By dividing the rate given, you get that 30 minutes is 10 cubic meters of water. Add the 60 and 30 together to get 90 minutes.
It will take 90 minutes for the pump to use $300.
Opposite angles in a cyclic quadrilateral add up to 180 degrees .
So the angle opposite angle A ( that is angle C) must be 180-95 = 85 degrees
