Percentage question: If something increase by the same percentage each day and is at 6.09 percent higher after 2 days.

[Helenam]

If something increase by the same percentage each day and is at 6.09 percent higher after 2 days. What is the daily percentage increase. I know it must be about 3% but don’t know how to show this mathematically.

 

[Dr.Peterson]

If something increase by the same percentage each day and is at 6.09 percent higher after 2 days. What is the daily percentage increase. I know it must be about 3% but don’t know how to show this mathematically.

What will it be multiplied by after 1 day, if it increases by r% per day?

What will you get if you repeat that for two days?

Set that equal to a 6.09% increase, and solve for r.

(There's a formula, but then you'd be trusting someone to get that right, rather than "showing it mathematically".)

 

[Helenam]

Is it 1+r.
If I did this twice it would give (1+r)^2?

 

[Helenam]

Is it 1+r.
If I did this twice it would give (1+r)^2?

 

[Helenam]

I think I got it.
(1+r/100)^2=1.0609 which I can solve by taking square roots?

 

[The Highlander]

I think I got it.
(1+r/100)^2=1.0609 which I can solve by taking square roots?

So, as you can now see, it's not "about" 3%. ?

 

[Helenam]

Thanks everyone.

 

[The Highlander]

Thanks everyone.

YVW. ?