The average worker in China makes $5,000/year. Wages are keeping up with GDP growth of 7%/year. Assuming a constant growth rate, how long will it take for the average worker in China to be paid $20,000/year?

Respuesta :

Answer:

it will take 20.75 year to reach amount $20000

Explanation:

It is given that average worker in China makes $5000 per year

So principal amount P = $5000

It is given that wage are keeping up with a rate of 7%

So rate of interest r = 7 %

We have to find the time in which amount will become $20000 per year

We know that total amount is given by [tex]A=P(1+\frac{r}{100})^n[/tex], here n is time period and r is rate of interest

So [tex]20000=5000(1+\frac{7}{100})^n[/tex]

So [tex]4=1.07^n[/tex]

Taking log both side

[tex]log4=nlog1.07[/tex]

[tex]0.6020=n\times 0.029[/tex]

n = 20.75 year

So it will take 20.75 year to reach amount $20000