Yes, because it is continuous on [0,2] and differentiable on (0,2), the theorem states that there must exist some value c where a line tangent to c is parallel to the secant line through 0 and 2.
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.
The rotational symmetry has more than one order of rotational symmetry the objects can fit itself within 360 degrees.
The answer would be 2.16.
This is because the two negatives would cancel each other out when multiplying. This would basically make the question

.
Now 3.3 is definitely not less than 2.4, so the answer would be 2.16