Answer:
70 seconds
Step-by-step explanation:
Given that;
The initial velocity
of the bullet fired = 1120 ft/s
Initial height h = 8 feet
The expression to determine how many seconds it takes the bullet to hit the ground is:

Thus;
Replacing the value of
= 1120 and h = 0 (i.e. when h =0) in the above expression; we have:


= -16t² + 1120t + 8
mulitiply through by (-)
= 16t² -1120t - 8
Divide through by 8
= 2t² - 140t - 1
The above expression forms a quadratic equation.
where;
a = 2
b = -140
c = - 1
So, by using the quadratic formula
, we have:






= 70
Thus, the time (in seconds) it took the bullet to it the ground = 70 seconds
Sum of a finite geometric series=a(r^(n) -1)/(r -1)
or
sum of a finite geometric series=a(1 - r^(n))/(1 - r)
the Smiths would spend a total of $2928.2 on clothing in 4 years
Answer:
200 minutes / 3 hours & 20 minutes.
Step-by-step explanation:
This is quite simple.
First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.
20 × 2 = 40
This means she is on break for a total of 40 minutes each day.
Finally, let's take that 40 and multiply it by 5.
40 × 5 = 200
This means she spend 200 minutes (3 hours & 20 mins) on break each week.