Firstly, the rate of increase of Canton = 80/7720 = 0.010
The rate of increase of HP = 120/3200 = 0.0375
Apply the formula of compound interest==> A =A'(1+i)^n
The population will be equal when the following equality is satisfied
7720(1+0.01)^n = 3200(1+0.0375)^n
or
7720x1.01^n = 3200x1.0375^n
Divide both sides by 3200 ===>(193/80)x1.01^n=1.0375^n
Answer:
A. y=1-2x
Step-by-step explanation:
-1 =1-2(1)
-1= 1-2
-1=-1
-3=1-2(2)
-3=1-4
-3=-3
-5=1-2(3)
-5=1-6
-5=-5
-7=1-2(4)
-7=1-8
-7=-7
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped
Answer:
well the volume of a sphere is V = 4/3 x pie x r3 so the radius is half of the diameter so that would be 8 not going to show work but the answer is 2144.66
The disk spins at a constant number of revolutions per second. This means, the angular velocity is constant.
We know that,
Linear velocity = r x Angular Velocity
where r is the radius.
So, for a given angular velocity, larger value of r will have larger Linear velocity. Since the value of r at point B is more than at point A, the value of Linear velocity will be more at point B.
So, the correct answer is option C
