a) P(3) =
(or 0.11 or 11%)
b) Number of sixes = P(6) x 500
=
x 500
= 12 x 5
= 60
Answer:
The value at the end of year 2 is $4400.
Step-by-step explanation:
The best approach here is to determine the expression for the line depreciation and then calculate the depreciation value at x = 2 years.
A line is given by

where m is the slope and b the bias (aka y-intercept). You can determine both directly from what is given. The slope is change in y divided by change in x. We know that over 5 years the car loses (500-7000)=-6500 in value. So, the slope is m=-6500/5 (note the negative sign). At time 0, the y-intercept is 7000, since that is the initial value (at year 0). So our line function is fully identified:

and gives you the value of the car in any given year. To answer the question, we now plug in 2 as value of x:

Answer:
Step-by-step explanation:
diameter=2*radius
=2*9
=18 in
given central angle=72 degree
arc length=central angle /360° *πd
=72/360 *3.14*18
=1/5 *56.52
=56.52/5
=11.304
Answer:
4 sin (2x - 4).
Step-by-step explanation:
The amplitude of sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.
Our formula is 4 sin (2(x - 2))
= 4 sin (2x - 4).