Answer: 1.2%
Explanation:
Given
If one borrows $12,250
and give $147 interest on it
Then the interest is given from the formula
Thus, the annual rate of interest is 1.2%
Answer:
The answer is h/4
Explanation:
When Peter collides with Fred, the collision is inelastic & they both proceed with a velocity of V/2.
let m represent the masses for Peter & Fred
v represent the initial velocity of Peter
V represent final velocity of both of them
mv + 3m × 0 = (m+m)V
V = v/2
Using the expression; H = v² / 2g .............Eqn 1
Upon substitution of V/2 into Eqn 1 above,
H = (V/2)² / 2g
H = (V²/4) ÷ 2g
Therefore height will be h/4
The original frequency of horn of Car A is 1071 Hz.
Explanation:
Doppler effect describes the change in the frequency of sound waves with respect to the observer. As the sound waves emitted from a source need to travel the air medium to reach observer, it will undergo loss in energy. So there will be change in its frequency compared to original frequency. Depending upon the direction of travel of source and observer the shifting of frequency will vary.
Here vo is the observer velocity and vs is the velocity of the source. So Vo = 15 m/s as car B is the observer and Vs = 35 m/s as car A is the source. And f is the frequency of sound wave at source that is car A.
Similarly, the doppler shift in frequency is the frequency of sound heard by car B which is f' = 1140 Hz. And v is the speed of sound that is v = 343 m/s
1140 =
f = 1140/1.0649= 1071 Hz.
Thus, the original frequency of horn of Car A is 1071 Hz.