Respuesta :
Answer:
$142.95
Step-by-step explanation:
Given Original value of the sofa = $349
Rate of depreciation each year = 20%
Number of years = 4
To find the value of the sofa after 4 years use depreciation formula:
If the constant decrease in population be R% per annum. Then the population after n years is [tex]P \times\left(1-\frac{R}{100}\right)^{n}[/tex]
[tex]349 \times\left(1-\frac{20}{100}\right)^{4}=349 \times\left(\frac{100-20}{100}\right)^{4}[/tex]
[tex]=349 \times\left(\frac{80}{100}\right)^{4}[/tex]
[tex]=349 \times\left(\frac{4}{5}\right)^{4}[/tex]
= 142.9504
= 142.95 (Nearest cent)
Hence, the value of sofa after 4 years is $142.95.
