Compound percentage reduction can be calculated by multiplying the initial number by (1-x)^t where x is the percentage reduction (/100, i.e. 1% reduction is 0.01), and t is the number of times it has reduced.
So:
a)
Where t is the number of weeks.
We can then just substitute in to work out the final pressure:
b) p = 45*0.94^6 =
31psi
Answer: The correct answer is 18ft
Step-by-step explanation:
Answer: The number is 10.
Step-by-step explanation:
Let x be the required number.
Given: 11 is multiplied to the number then 24 is subtracted from that and the result is 86.
The mathematical statement for the given situation,
11x -24 = 86
To solve the equation, Add 24 on both sides , we get
11x - 24 +24 = 86+24
⇒ 11x = 110
Divide both sides by 11, we get
x = 10
hence, the number is 10.
3x + 8(2) = 19, 3x + 16= 19 , 3x=3 , x =1
Answer:
The bacteria took 1 hour and 40 minutes to fill the first bottle and it took only 10 minutes to fill 3 more. This is because of the amount of bacteria, for the first bottle there were only a few so it took them time to grow and multiply but once there were a lot the process starts to get faster. Think of it like this if you have 1 bacteria it will multiply into 2 bacteria. The 2 will multiply into 4, then 8, 16, 32, 62, 124 and so on. Do you notice how the numbers are getting bigger every time? Each number is being multiplied by 2 so the growth rate speeds up very quickly, which is why it took the bacteria 1 hour and 40 minutes to fill the first bottle and only 10 minutes to fill the other 3.
(I'm not sure but this is my theory)
