Mathematics: For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year. the value, v(t), of $384,000 worth of assets after t years, that depreciate at 16% per year, is given by the formula v(t) = vo(b)t. what is the value of vo and b, and when rounded to the nearest cent, what are the assets valued at after 7 years?

7.65 dollarsStep-by-step explanation:...

For accounting purposes, the value of assets

howardc1433

17.01.2022

Worth of assets after 7 years will be $113314.70

Step-by-step explanation:

The value V(t) of asset after t years is given by the formula $V_{t}=V_{0}(b)^{t}$

In the formula given V(t) = Worth of asset after t years

and $V_{0}$ is the initial value of the assets.

Since rate of depreciation of the assets is = 16% per year

So by the given formula

$(1-0.16)V_{0}=V_{0}(b)^{1}$

b = (1 - 0.16)

b = 0.84

Now we have to calculate the value of assets worth $384000 after 7 years.

By the given formula

$V_{t}=384000(0.84)^{7}$

= 384000(0.295)

= $113314.70

Therefore, worth of assets after 7 years will be $113314.70.

0,0(0 оценок)