Answer:
A.
Step-by-step explanation:
Given:
Volume of the cylindrical container before dilation,
Scale factor of the dilation,
Therefore, the volume of the dilated cylinder is given as:
Plug in 1 gal for and for SF. Solve for . This gives,
Therefore, the volume of the dilated cylinder is gallons.
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.
If it was just the splitting It would be
Let L be the amount he has left
L= 250-( P/24 )