Problemas
4x Bella's truck was worth 40,500 when she purchased it.The truck is depreciating at a rate of of 3.25% each year. 3.25% Select the value from the drop-down menu that correctly completes the statement. To the nearest dollar the truck will be worth 27,244 after square years.
Roztwór
Leonel
veterano · Tutor durante 10 años
4.6
(262 Votos)
Respuesta
The truck will be worth \$27,244 after approximately 16 years.
Explicación
## Step 1The problem involves the concept of depreciation, which is a common topic in financial mathematics. The truck's value decreases each year by a certain percentage, which is 3.25% in this case. The question asks us to find out how many years it will take for the truck to depreciate to a value of
is the amount of money accumulated after
years, including interest.-
is the principal amount (the initial amount of money).-
is the annual depreciation rate (in decimal).-
is the time the money is invested for, in years.## Step 3In this problem, we know that
,
, and
. We need to solve for
.## Step 4We can rearrange the formula to solve for
:### \(t = \frac{\log(A/P)}{\log(1 - r)}\)## Step 5Substitute the given values into the formula:### \(t = \frac{\log(27,244/40,500)}{\log(1 - 0.0325)}\)## Step 6Calculate the value of
.