Answer:
(A) 7.5 %
(B) 3.75 %
(C) 2.5%
(D) 0.625 %
Step-by-step explanation:
We have given effective rate of interest r = 7.5%
(a) Annual rate of interest will be equal to 7.5 %
(B) As we know that 1 year = 12 months
And interest is compounded semiannually
1 semiannual = 6 months
So semiannual rate of interest will be equal to 
%
(c) 1 quarter = 4 month
So number of period in an year = 3
So rate of interest quarterly 
%
(D) Amount when amount is compounded monthly '
So number of period in an year = 12
So rate of interest 
%
You can expect the coin to land on heads
times on average.
Answer:the horizontal displacement is 34.64 meters
The maximum height is 15 meters
Step-by-step explanation:
As the ball moves from the ground at 30 degrees, it travels through a parabolic path. It can therefore be likened to a projectile. The horizontal displacement to where it lands is the range. The formula for determining range,R is
R = U^2Sin2#)/g
Where
U represents the initial velocity of the ball
g is acceleration due to gravity
# represents the angle above the horizontal.
From the information given
# = 30 degrees
U = 20 m/s
g = 10m/s^2
R = 20^2Sin2×30)/10 = (400Sin60)/20 = (400×0.8660)/10
= 34.64 meters
To determine the maximum height of the ball, H,
H = (U^2Sin^2#)/2g
H = (20^2 × Sin^2 30)/2×10
H = (400 × 0.866^2)/20 = 15 meters
Use the Pythagorean theorem:
The length of the hypotenuse is 6√2 units.
Answer:
B
Step-by-step explanation:
cause when we substitute 5 in the equation we get 3<7which is true.
