Answer:
height = 184.7 feet
Step-by-step explanation:
sin 38 = height/300
0.6157 = height/300
height = 184.7 feet
Find the rate in which both balls make one full rotation around the track.
Ball A:
It takes 30 seconds for Ball A to make a full rotation.
Ball B:
It takes 20 seconds for Ball B to make a full rotation.
Find the least common multiple of 20 and 30 to find the time at which they'll meet.
Multiples of 20: {20,40,60}
Multiples of 30: {30,60}
60 is the least common multiple of both 20 and 30.
The balls will meet again at
60 seconds.
Answer:
1. Intersecting
2. Perpendicular
3. Perpendicular
4. Perpendicular
5. Parallel
Answer:
$7153.03
Step-by-step explanation:
To find the total amount after 3 years, we can use the formula for compound tax:
P = Po * (1+r/n)^(t*n)
where P is the final value, Po is the inicial value, r is the rate, t is the amount of time and n depends on how the tax is compounded (in this case, it is semi-annually, so n = 2)
For our problem, we have that Po = 5000, r = 12.3% = 0.123, t = 3 years and n = 2, then we can calculate P:
P = 5000 * (1 + 0.123/2)^(3*2)
P = 5000 * (1 + 0.0615)^6
P = $7153.029
Rounding to the nearest cent, we have P = $7153.03