Michael bought a car for $15,540. He estimates that the car will depreciate by 5% each year. Which function represents this situ
1 answer:
Answer:
Step-by-step explanation:
Given , Micheal bought a car for $15,540.
Rate of depreciation = 5% = 0.05 { To convert a percentage into decimal or fraction , we divide it by 100]
The exponential function used to show depreciation in amount or value ina time period of 'x' is given by :-
, where A = Initial value
r= rate of depreciation.
As per given , we have
A= $15,540
r= 0.05
Then , Required function :
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Answer:
Step-by-step explanation:
We are given the following in the question:
Number of locusts on first day = 4600
Gain in locust population every 2.4 days =
Thus, we can write the following function to model locust population in t days.
is the required function.
L(t) is a dependent function on t, L(t) is locusts population and t is amount of time in days.
Answer:
$42,890
Step-by-step explanation:
The standard form for an exponential equation is
where a is the initial amount value and b is the growth rate or decay rate and t is the time in years. Since we are dealing with money amounts AND this is a decay problem, we can rewrite accordingly:
where A(t) is the amount after the depreciation occurs, r is the interest rate in decimal form, and t is the time in years. We know the initial amount (70,000) and the interest rate (.04), but we need to figure out what t is. If the car was bought in 2006 and we want its value in 2018, a total o 12 years has gone by. Therefore, our equation becomes:
or, after some simplification:
First rais .96 to the 12th power to get
A(t) = 70,000(.6127097573)
and then multiply.
A(t) = $42,890