The queen size mattress has a catalog price of 428.99 dollars.
NOw, it has a trade discount rate or 20%
=> 20% / 100% = .20
Next is to do the solution:
=> 428.99 * .20 = 85.798 dollars or 85.80
Now, let's find out the net price:
=> 428.99 - 85.80 = 343.19 dollars or 343.2.
This is the concept of trajectories;
We are required to calculate the time taken for the base ball whose distant to reach the maximum height has been modeled by h=-16t^2+64t+4.2 took to hit the ground. Here we proceed as follows;
At the time when the base ball hits the ground the height,h=0
Thus;
-16t^2+64t+4.2=0
this is a quadratic equation, to solve the quadratic equation we use the formula;
t=[-b+/- sqrt(b^2-4ac)]/(2a)
where;
a=-16,b=64, c=4.2
thus substituting the values in our formula we get:
t=[-64+/-sqrt(64^2-4*(-16)*4.2)]/(-16*2)
t=[-64+/- sqrt(4364.8)]/(-32)
t=[-64+/-66.1]/(-32)
t=4.1 or-0.1
thus the we take the positive value t=4.1 and we conclude that the time taken for the ball to hit the ground was 4.1 seconds
Step-by-step explanation:
3y+5<10
3y<10-5
3y<5
y<⅗
Answer:
Step-by-step explanation: