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=65
Step-by-step explanation:
145=2x+15
Answer:
(x - 1) and (x + 4)
Step-by-step explanation:
Given the zeros of a polynomial, say x = a, x = b then the factors are
(x - a), (x - b) and the polynomial is the product of the factors, that is
f(x) = (x - a)(x - b)
Here the zeros are x = 1 and x = - 4, thus the factors are
(x - 1) and (x - (- 4)), that is (x - 1) and (x + 4)
Step-by-step explanation:

-14x²-1≠0
x²≠ -1/14
Option C
we can find the answer to this problem by thinking about it logically for a minute:
we know that she assigned "x" homework problems on Monday, so,
x=Monday
we also know that she assigned 13 more problems on Tuesday, so,
13=Tuesday
over the course of the two days she assigned a total of 23 homework problems.
to get the answer of how many problems she assigned on Monday, we have to do the total number of problems she assigned(23) minus the number of problems we know she assigned on Tuesday(13), so,
23-13=10
she assigned 10 problems on Monday.