SA = 2 pi r^2 + 2 pi r h
SA = 2 * pi * 25 + 2 pi * 5 * 13
SA = 565.2 in ^3
this is using 3.14 for pi
I'm guessing S^20 is actually referring to the 20th partial sum

, with

in the arithmetic case, and

in the geometric case.
(a) Combining like terms, we have

and invoking the formula

we end up with

(b) Multiply

by 1.1, then subtract this from

:


Answer:
The correct answer is A. $729.98.
Step-by-step explanation:
Given that the purchase price for a house is $ 309,900, to determine what is the monthly payment if you put 20% down for a 30 year loan with a fixed rate of 6%, the following calculation must be performed:
100 - 20 = 80
(309,900 x 0.80) x 1.06 / (30x12) = X
247,920 x 1.06 / 360 = X
262,795.2 / 360 = X
729.98 = X
Therefore, the monthly payments will be $ 729.98.
Hello,
A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2
Slope of the perpendicular: 1
y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.
Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q
|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....
For two shots Pedro has four outcomes:
<u>1 shot | 2 shot</u>
score | score
score | not score
not score | score
not score | not score
The probability Pedro's shot will score in a lacrosse game is 0.30 and the probability his shot will not score in a lacrosse game is 1-0.30=0.70. So you can count probabilities for all cases:
1. 0.3·0.3=0.09;
2. 0.3·0.7=0.21;
3. 0.7·0.3=0.21;
4. 0.7·0.7=0.49.
In total 0.09+0.21+0.21+0.49=1. The first outcomes is that what you need.
Answer: 0.09.