Answer:
Look down
Step-by-step explanation:
multiply each side by 7
0.3*7=2.1
Answer:
t = {5}
Step-by-step explanation:
The trajectories intersect at exactly one time, t=5. The point of collision is ...
r1(5) = r2(5) = (25, 25, 25)
__
The particles collide when the difference between the coordinates of one of them and the coordinates of the other one is zero. That is, ...
r1(t) - r2(t) = 0
(t^2, 6t -5, t^2) - (9t -20, t^2, 11t -30) = 0
This resolves to three (3) quadratic equations:
- t^2 -9t +20 = 0 . . . . (t -4)(t -5) = 0
- -5 +6t -t^2 = 0 . . . . . -(t -1)(t -5) = 0
- t^2 -11t +30 = 0 . . . . (t -5)(t -6) = 0
These have a common factor of t-5, so will all be zero when t=5.
The particles collide only at t = 5.
They all have the same numbers but are placed differently
Principal amount taken as loan = $12967.20
Rate of Interest at which the loan is taken = 4.5%
Time for which the loan is taken = 6 years
Then
Amount of loan that needs to be repaid = Principal [1 + (Rate * Time)]
= 12967.20 [ 1 + (4.5% * 6)]
= 1296.20 [ 1 + 0.27]
= 1296.20 * 1.27
= 1646.17
So the amount of loan that needs to be repaid is $1646.17. I hope the procedure of solving such problems is clear to you and in future you will be able to solve the problems on your own without taking any help.
Answer:
Step-by-step explanation:
The probability density function for the exponential distribution is:
In which is the decay parameter and m is the mean.
It was discovered that the time it takes for orders to be filled is exponentially distributed with a mean of 1.5 minutes.
This means that
So, the answer is: