Answer:
Step-by-step explanation:
It's pretty simple actually, since it's almost completely solved.
4x^2-1=8x (move the 8 to the opposite side)
4x^2-1-8x (now rearrange the order)
4x^2-8x-1 done!
Answer:
the rate compounded semi-annually is compounded twice in a year. thus, this rate is higher than the rate compounded annually which is compounded once in a year
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
For example, there are two banks
Bank A offers 10% rate with semi-annual compounding
Bank B offers 10% rate with annual compounding.
If you deposit $100, the amount you would have after 2 years in each bank is
A = 100x (1 + 0.1/2)^4 = 121.55
B = 100 x (1 + 0.1)^2 = 121
The interest in bank a is 0.55 higher than that in bank B
Answer:
B. 8sqrt(2)
Step-by-step explanation:
The legs of an isosceles right triangle are congruent and measure 45 deg. The right angle measures 90 deg. The ratio of the lengths of the sides of a 45-45-90 deg triangle is 1 : 1 : sqrt(2).
Since the hypotenuse measures 8, then the legs measure 8/sqrt(2)
8/sqrt(2) * sqrt(2)/sqrt(2) = 8sqrt(2)/2 = 4sqrt(2)
Answer: B. 8sqrt(2)
Answer:
the ball reaches a height of 64 feet after 2 sec.
The ball is in the air 4 sec.
Step-by-step explanation:
The ball is following the path of a parabola. The maximum height is at the vertex of the parabola.
Let (h, k) be the vertex. h will be the time it takes to reach the maximum height, and k will be that height.
y =
h = -b/2a = 64/(-2)(-16) = 64/32 = 2
k = -16(2)^2 + 64(2)
-16(4) + 128
- 64 + 128 = 64
V: (2, 64)
So the ball reaches a height of 64 feet after 2 sec.
Let = 0 (0 is the height when the balls hits the ground)
-16t(t - 4) = 0
t = 0 or t = 4
The ball is in the air 4 sec.