Answer:
a) Depth changing rate of change is , When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of , When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them , then .
a) As we have that volume is , then , so we can derivate it due to the chain rule, then we clean this expression for and compute with the knowns , is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is , we can derivate it and obtain The width of the top of the water is changing, When the water is 6 meters deep at this rate
Answer: 3
Step-by-step explanation: [ 3.6 ] represents the greatest integer function [ x ]
If x is an integer use that integer
If x is not an integer use the next smaller integer
[ 3.6 ] is not an integer, hence
[ 3.6 ] = 3
-16+x=-15
here we have to isolate x, so adding 16 to both sides
x=-15+16
x=1
So basically, let's look at the given. In the problem, Leon is charged a fee of 75. The interest rate would be 12.5 % if he doesn't pay his due amount. So in order to get the total amount that he has to pay if he doesn't pay on time, you just need to multiply 75 with 12.5% or simply 0.125. If you do this, you will get 9.375. After that, you add 9.375 to the principal amount which is 75 and you will get 84.375. So Leon has to now pay a total of 84.375.
I hope this HELP! :)