Jenny has $400 in an account with an annual interest rate of 6% compounded annually. if jenny makes no deposits or withdrawals,
1 answer:
You might be interested in
State the given in the question
Given that the sum of a number and 3 is subtracted from, the result is 5
State what is to be found in the question
We are to find the number. In other to achieve this, we would follow the steps below:
Step 1: Represent the number with an unknown
Let x represent the number
Step 2: Interpret the given statement mathematically
If x is the number, then the sum of the number and 3 would be
Then the sum of a number and 3 subtracted from 10 would be
Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be
Step 3: Solve for x in the mathematical interpretation of the given statement
The value of x is as calculated as shown below:
Hence, the number is 5
Solution:
Given a circle of center, A with radius, r (AB) = 6 units
Where, the area, A, of the shaded sector, ABC, is 9π
To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.
To find the area, A, of a sector, the formula is
Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.
To find the length of the arc, s, the formula is
Substitute the variables into the formula to find the length of an arc, s above
Hence, the length of the arc, s, is 3π units.