Answer:
Step-by-step explanation:
Given that a rock is thrown vertically upward from the surface of an airless planet. It reaches a height of ![s(t) = 120t - 4t^2](https://tex.z-dn.net/?f=s%28t%29%20%3D%20120t%20-%204t%5E2)
where t is expressed in seconds
The rock goes upto a height where the velocity becomes 0 and then it starts falling down by gravity
Velocity at time t = s'(t) = ![120-8t](https://tex.z-dn.net/?f=120-8t)
This becomes 0 when t =15 seconds
Hence at 15th second the rock starts falling and upto
s(15) =
metres high it goes
The time taken to reach highest point is = 15 seconds.
Answer:
Option A, 300 - 20w
Step-by-step explanation:
In a week, she withdraws $20
in w weeks, she will withdraw ; w × 20
= 20w
Balance = Initial amount - Amount withdrawn
= 300 - 20w
Yes they can. they can have any lengths
Answer:
£9184
Step-by-step explanation:
Interest = PRT/100
P = Price
R = Rate
T = time
First Let's find the interest for 2 years
![interest = \frac{8200 \times 6 \times 2}{100} \\ = 984](https://tex.z-dn.net/?f=interest%20%3D%20%20%5Cfrac%7B8200%20%5Ctimes%206%20%5Ctimes%202%7D%7B100%7D%20%20%5C%5C%20%20%3D%20984)
So, the interest is £984
Now let's find the full amount he received after two years ,
![8200 + 984 = 9184](https://tex.z-dn.net/?f=8200%20%2B%20984%20%3D%209184)
Total Amount = £9184
Hope this helps you
Let me know if you have any other questions :-):-)
Answer:
Work shown below!
Step-by-step explanation:
(x + 4)(x - 3) = ![x^{2} -3x+4x-12=x^{2} +x-12](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-3x%2B4x-12%3Dx%5E%7B2%7D%20%2Bx-12)