Respuesta :
Answer:
The value of home after t years is $249,000 [tex](0.929)^{\textrm t}[/tex]
Step-by-step explanation:
Given as :
The original value of home = p = $249,000
The value of home depreciate every year at rate = r = 7.1%
Let The value of home after t years = A
Now, According to question
The value of home after t years = original value of home × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
Or, A = p × [tex](1-\dfrac{\textrm r}{100})^{\textrm t}[/tex]
Or, A = $249,000 × [tex](1-\dfrac{\textrm 7.1}{100})^{\textrm t}[/tex]
Or, A = $249,000 × [tex](0.929)^{\textrm t}[/tex]
So,The value of home after t years = A = $249,000 [tex](0.929)^{\textrm t}[/tex]
Hence,The value of home after t years is $249,000 [tex](0.929)^{\textrm t}[/tex] . Answer
