She can make 36 banners. Hope this helps!
Area of a square is length times by itself (length x width) so 12 cm x 12 cm
144cm squared
hope i helped :)
let nwmber to be X
the number is 12 less than it's square,
so X=12-X^2
=> X^2+X-12=0
=> (X+4)(X-3)=0
=>X= 3, or X=-4
in math we don't usually take negative numbers into account so your number would be 3
If

then

The ODE in terms of these series is



We can solve the recurrence exactly by substitution:


So the ODE has solution

which you may recognize as the power series of the exponential function. Then

Answer:

We divide both sides by 100000 and we got:

Now we can apply natural logs on both sides;

And then the value of t would be:

And rounded to the nearest tenth would be 9.2 years.
Step-by-step explanation:
For this case since we know that the interest is compounded continuously, then we can use the following formula:

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.
For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means
and we want to find the value for t.

We divide both sides by 100000 and we got:

Now we can apply natural logs on both sides;

And then the value of t would be:

And rounded to the nearest tenth would be 9.2 years.