I=PRT
r=rat
P=present amount
I=interst
t=time in yeare
2 years
16%
3000
I=2*3000*0.16
I=$960
The component of the cars velocity eastward is 14 m/s
A vector is an quantity that has both magnitude and direction.
Vector resolution is the method of separating a vector into its horizontal component as well as its vertical component.
The horizontal component of a vector is the influence of the velocity on the object horizontally.
Given that the velocity (V) = 24 m/s, the angle (θ) = 90° - 35° = 55°
Therefore:
Car velocity eastward (Vₓ) = Vcos(θ) = 24 * cos(55) = 14 m/s
The component of the cars velocity eastward is 14 m/s
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After the 3rd pick we have: 4 white, 3 red and 8 black marbles.
The probability that the 4th marble is black is:
P ( Black ) = 8 / 15 = 0.5333
After the 4th pick we have: 4 white, 3 red and 7 black marbles.
P ( Red or Black ) = 10 / 14 = 5 / 7 = 0.7143
In order for the ball to be used in the game, it must be able to meet the minimum and maximum weight requirements. These are the limits of the weight of the ball. If it exceeds the maximum limit of 16 ounces or below the minimum limit of 14 ounces, the ball will not be approved.
So, by adding 1.5 ounces, that would mean that the initial weight of the ball did not reach the minimum limit. The initial weight of the ball, denoted as x, have two possible values. The first value is the initial weight plus added with 1.5 ounces would reach 14 ounces.
x + 1.5 = 14
x = 12.5 ounces
The other scenario is when the initial weight is added to reach the maximum requirement of 16 ounces
x + 1.5 = 16
x = 14.5 ounces
From both answer, we could conclude that the initial weight has to be 12.5 ounces. If the initial weight were 14.5 ounces to begin with, there should be no need for air. It cans till be approved to be used.