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:
Step-by-step explanation:
a. 0.31
The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
<u>Explanation:</u>
Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side
In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.
Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...
So,
When angle is 573° then the coterminal angle is
573° - 360 (1) = 213°
573° - 360(2) = -147°
573° - 360 (3) = -507°
Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
17.
The point-slope form:
We have slope=m=8, and the point (-5, -3). Substitute:
18.
The formula of a slope:
We have the points (3, 4) and (15, 10). Substitute:
The point-slope form:
or
