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.
If I did this correctly all you hade to do is work in reverse.
1.) Divide 16 by pi (3.14) To get the diameter.16/ 3.14 =5.095541401 or 5.1
2.) Since Diameter is just the radius doubled divide 5.1 by 2. 5.1 /2 = 2.55
3.) Plug it in, use the 2pir equation to see if it works. 2X3.14X2.55= 16.014 or 16.
I hope this helps, let me know if you need further explanation.
Answer:
Step-by-step explanation:
The formula for compound annual interest is A = P(1 + r)t where
A = Accumulated or final amount (double $500 = $1000)
P = Principal or original amount ($500)
r = Rate as a decimal (0.08)
t = Time in years
1000 = 500(1 + 0.08)t
2 = 1.08t
Take the logarithm of both sides. I prefer the natural logarithm ln, but if you're more comfortable with base 10 logs they will work just as well
ln(2) = ln(1.08t)
ln(2) = t*ln(1.08)
t = ln(2)/ln(1.08)
t = 9.0065 years
Check: 500*1.089.0065 = $1000