The answer is B
The formula of the function is
f(X) = - (X+1)^2
Answer:
Step-by-step explanation:
Let x represent the amount on deposit at 12%. Then 5900-x is the amount deposited at 6%, and the total interest earned is ...
12%·x +6%·(5900 -x) = 540
0.06x + 354 = 540 . . . . . . . . eliminate parentheses
0.06x = 186 . . . . . . . . . . . . . . subtract 354
x = 3100 . . . . . . . . . . . . . . . . . divide by 0.06
Scott invested $3100 at 12% and $2800 at 6%.
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<em>Quick sanity check</em>
The average interest earned is $540/$5900 ≈ 0.0915 ≈ 9.15%. This is more than the average of 12% and 6%, which is (12+6)/2 = 9 percent. Hence more than half of the money must be deposited at 12%.
Find the slopes of the 2 line segments and see if they are negative reciprocals then the lines are perpendicular.
AB slope is -3-2/-3-0= -5/-3=5/3
CD slope is -2-1/0- -4=-3/4
The lines are not perpendicular
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
First, you find the area of one triangle.
Area of Triangle= 1/2 base x height
here we plug in
(1/2)5 x 7
2.5 x 7
17.5
So 17.5 is the area of one triangle, you have 4
so we multiply 17.5 x 4= 70
Now we need to find the area of the base which is a square so the area = length x width or side x side
plug in 5 x 5= 25
so we add everything up 70+25= 95
Answer is choice c 95 ft sq.