I am an odd number.
2 answers:
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Answer:
4%
Step-by-step explanation:
A = final amount
P = initial amount
r = interest rate per time period
n = number of times compounded per time period
t = number of time period
A = 3932.82
r = what we want to find
n = 2
t = 6
divide both sides by 3101 to isolate the exponent and its parts
put both sides to the power of (1/12) to help isolate the variable
subtract 1 from both sides to isolate the variable and its coefficient
multiply both sides by 2 to get r
r ≈ 0.04 = 4%
Answer: The central angle measures 135 degrees
Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.
So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.
Length of an arc = X/360 x 2pi x radius
Substituting for the known values, our formula can now be re-written as
9pi/2 = X/360 x 2pi x6
By cross multiplication we now have
9pi/2pi x 6 = 2X/360
We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,
9/12 = X/180
Simplify even further and we have
3/4 = X/180
By cross multiplication we now have
(3 x 180)/4 = X
540/4 = X
135 = X
Therefore the central angle that intercepts the arc measures 135 degrees.
