Answer:
2x^3−7x^2+16x−15
Step-by-step explanation:
(2x−3)(x^2−2x+5)
=(2x+−3)(x^2+−2x+5)
=(2x)(x^2)+(2x)(−2x)+(2x)(5)+(−3)(x^2)+(−3)(−2x)+(−3)(5)
=2x^3−4x^2+10x−3x^2+6x−15
=2x3−7x2+16x−15
The law of an object moving with constant acceleration is
Where 
is space, 
is time, 
is the initial position, 
is the initial velocity and 
is the acceleration.
In this case, if we choose a reference grid with the vertical axis pointing upwards, the acceleration of gravity will point downwards (and thus be negative). The initial position is zero, because the rocket is on the ground, and the initial velocity is 100 (positive because pointing upwards).
So, its law is
(I changed for 
since the rocket is moving vertically, so its position is actually its height. Also, g is the acceleration due to gravity).
The rocket hits the ground if its height is zero, so if we set 
we have
Solving for t, we have either t=0, or
The solution t=0 means that at the beginning the rocket is on the ground. So, we're interested in the other solution. Considering that g is about 32.2 feet/s^2, we have
Answer:
Interest earned= $200
Step-by-step explanation:
Giving the following information:
Initial investment= $20,000
Interest rate= 3%
Inflation rate= 2%
First, we need to calculate the real interest rate. <u>The inflation rate decreases the value of money through time. We need to deduct from the interest rate, the inflation rate.</u>
Real interest rate= 0.03 - 0.02= 0.01
<u>Now, we can calculate the interest earned in year 1:</u>
Interest earned= PV*(1+i)^n - PV
Interest earned= 20,000*(1.01^1) - 20,000
Interest earned= $200
