<u>Understanding:</u>
The sum of a geometric series is, 
, with a being the start point and r is the common ratio. We can also use the following formula to make life easier 
, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.
<u>Solution:</u>
Our start point is 1, 
,
The common ratio is 5, 
,
And finally, the number of terms is 7, 
.
The answer is [A] 19531.
8 is the greatest component.
Answer:
a = 33
Step-by-step explanation:
IN a parallelogram consecutive angles are supplementary, thus
5a - 52 + 5a - 98 = 180, that is
10a - 150 = 180 ( add 150 to both sides )
10a = 330 ( divide both sides by 10 )
a = 33
9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
_____
<em>Additional comment</em>
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
