Answer:
Step-by-step explanation:
Use the exponential function
where a is the initial value of the car, b is the rate of decay, and t is the time in years. For us, a = 18000, b = (1 - .15), so the model for this car is:
We can use this model now to find the value, v(t), of the car after 3 years has gone by (from 2006 to 2009 is 3 years):
and simplifying a bit:
v(t) = 18000(.614125) so
v(t) = 11054.25
Round however you need to.
Where is the picture though
When writing an expression in expanded form, we just need to multiply what's outside the parentheses by everything that is inside the parentheses.
5a (6b + 12)
(5a * 6b) + (5a * 12)
30ab + 60a
And that is our answer.
5a (6b + 12) in expanded form is 30ab + 60a.
Hope that helped =)
Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
