We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function:
where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.
We know that an exponential decay function is in form
, where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = time.
Upon comparing our given function
with standard decay function
, we can see that
.
Let us solve for r.



Let us convert 0.24 into percentage.

Therefore, the decay rate is 24%.
Answer:
x=ln(2)/3
Step-by-step explanation:
e^3x+6=8
e^3x=8-6
e^3x=2
ln(e^3x)=ln(2)
3x=ln(2)
x=ln(2)/3
Answer:
B
Step-by-step explanation:
40+88+15=128+15=143
There are three rectangles that compose this shape. The first one has side lengths of 5 & 8 (l times w=a 5 times 8=40, area of the rectangle is 40). The second one has side lengths of 8&11 (8 times 11=88, area is 88). Final rectangles has side lengths of 16-(8+5) and 5 (16-13=3, 3 times 5=15, Area=15). All three of those rectangles added up is 143 as an area of the figure.
Answer:
1/4w -1
Step-by-step explanation:
(1/2w +3) -(1/4w +4) = w(1/2 -1/4) +(3 -4)
= 1/4w -1
_____
The distributive property applies. It is useful for distributing the minus sign and for collecting terms.