FORMULA:
ANSWER:
We are given new side of square i.e, 2s + 3.
So, Area = (2s + 3)²
- (2s)² + (3)² + 2 × 2s × 3
- 4s² + 9 + 12s
Hence, The area of the new graph is a perfect square trinomial: __4__s² + __12__s +__9__.
The solution is (5, 15)
Multiply the second equation by 2 and then add through.
3x + 2y = 45
8x - 2y = 10
-----------------
11x = 55
x = 5
Then plug in to get the y value
3(5) + 2y = 45
15 + 2y = 45
2y = 30
y = 15
The midpoint here which is = to M is (8, 1). Hope this helps
Answer:
P(A) = 0.1620 , P(A|B) = 0.0707
Step-by-step explanation:
Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20
P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620
P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576
P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)
(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707
13000000=10000000 (1+0.03)^t
Solve for t
T=log(13,000,000÷10,000,000)÷log(1+0.03)
t=8.9 years round 9 years