Plz help!!!
In the equation y= 0.5(1.21)^x, y represents the number of snowboarders in millions and x represents the number of years since 1988. Find the year in which the number of snowboarders will be 10 million for the first time.

Respuesta :

Answer:

Step-by-step explanation:

Here, y = 10 million = 10000000

[tex]10000000 = \frac{1}{2}*(1.21)^x[/tex]

Simplifying and taking natural log on both sides:

[tex]ln(20000000) = x*ln(1.21)[/tex]

x = 88.19 years

The number of snowboarders will be 10 million for the first time in year 2076.