Answer:
N = 920(1+0.03)^4t
Step-by-step explanation:
According to the given statement a car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012.
Rate is 12 % annually
rate in quarterly = 12/4= 3%
We will apply the compound interest equation:
N=P( 1+r/n)^nt
N= ending number of cars serviced.
P= the number of cars serviced in 2012,
r = interest rate
n = the number of compoundings per year
t= total number of years.
Number of compoundings for t years = n*t = 4t
Initial number of cars serviced=920
The quarterly rate of growth = n=4
r = 3%
The growth rate = 1.03
Compound period multiplied by number of years = 920(1.03)^4t
Thus N = 920(1+0.03)^4t
N = number of cars serviced after t years...
Answer:
350 + 30W = S
Step-by-step explanation:
Since (W) represents the number of weeks he's saving money, you'd replace (W) with 14.
350 + 30(14) = S
Answer:
15:27
Step-by-step explanation:
27 kids in the class and 15 boys
Answer:
Step-by-step explanation:
Remark
If you take one radius whose length is r and start it at (0,0) on one end and (r,0) at the other, and sweep it around so the (r,0) hits every point on the circumference of the circle, the radius will go through 360°.
You have only gone through 120°. That's no problem. All you have to do now is add a fraction that adjusts for the 120°.
Formula
Arc length = fraction * 2*pi * r
2*pi * r is the circumference
Arc Length = 2* (120/360) * pi * r
Givens
r = 13
pi = 3.14
Solution
Arc Length = (120/360) * 2 * pi * 13
Arc Length = 27.21
Answer
Arc Length = 27.21
