Respuesta :
Answer:
The percentage decrease in TV price after five years is 6.89
Step-by-step explanation:
Given as :
The cost of TV five years ago = $ 2400
The present cost of TV = $ 1680
Let The decrease percentage in five years = x
So, The cost of TV after T year = Present cost × [tex](1-\frac{Rate}{100})^{Time}[/tex]
Or, $ 1680 = $ 2400 × [tex](1-\frac{Rate}{100})^{5}[/tex]
Or, 0.7 = [tex](1-\frac{Rate}{100})^{5}[/tex]
Or, [tex](0.7)^{\frac{1}{5}}[/tex] = 1 - [tex]\frac{x}{100}[/tex]
Or, 0.9311 = 1 - [tex]\frac{x}{100}[/tex]
Or, [tex]\frac{x}{100}[/tex] = 1 - 0.9311
∴, [tex]\frac{x}{100}[/tex] = 0.0689
I.e x = 0.0689 × 100 = 6.89
Hence The percentage decrease in TV price after five years is 6.89 Answer
