There is a typo in the equation:
The equation need to be f(t)= 28t-t2+4
You need to calculate the derivative of f(t): f'(t)= 28-2t
f is increasing if f'(t) is positive ==> 28-2t>0 ==> t<14
f is decreasing if f'(t) is negative ==> 28-2t<0 ==> t>14
f reach its maximum when f'=0 ==> 28-2t=0 ==> t=14
The concentration is increasing between for 0 < t < 14
The concentration is decreasing between for 14 < t < 24
The maximum is achieved when t=14
I hope this will help
Answer: The length of each rod is approximately 0.38 feet.
Step-by-step explanation:
Given: Length of one plastic tube = 5 feet
Since one plastic tube gets divides into 13 rods.
Then the length of each rod = (Length of one plastic tube) ÷ 13
The length of each rod = 5 ÷ 13 feet
The length of each rod ≈0.38 feet
Therefore, the length of each rod is approximately 0.38 feet.
The answer will be $29.9K
At the end of each month, the balance is 1.14 times what it was at the beginning. So, after 3 months, the balance is 1.14³ = 1.481544 times the original charge.
$6000 × 1.481544 ≈ $8889.26
The appropriate selection is
d. $8889.26