Answer: 29 Hours of Work
Step-by-step explanation: Let's start by working backwards.. We know that Ken makes 5 dollars an hour, and he worked 40 hours. 5 * 40 = 200, and 400-200 = 200. This means that Kim has to work 200/7 hours, or (approximately) 29 hours of work.
Answer:

Step-by-step explanation:
we know that
The exponential function is of the form

where
a is the initial value
b is the base
In this problem we have
a=200 birds
b=100%+4%=104%=104/100=1.04
substitute

Let change of variables

where
b is the amount of birds in the flock
d is the number of days since the 200 birds started
It's 510,000. Just go to the 10,000 place and round there, then just replace the rest of the numbers with 0's. Don't use a decimal; that would suggest that the number isn't rounded.
Example 4:
Let y = ax + b
Where, a = 4
Then,
y = 4x + b
As we have one point = (-2,3)
Replace in the equation:
3 = 4(-2) + b
3 = -8 + b
b = 3 +8
b = 11
So us stay:
y = 4x + 11
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Now let's to the 5 example:
Let y = ax + b
Where a = 3/2
Then,
y = 3x/2 + b
As the point is = (4, 7)
Then we will stay:
7 = 3(4)/2 + b
7 = 6 + b
b = 7 - 6
b = 1
Then we will stay:
y = 3x/2 + 1
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Now let's to the last example:
Let y = ax + b
Where , a = -4/3
Then we going to stay with:
y = -4x/3 + b
As the point is = (6 , -2)
Then,
-2 = -4(6)/3 + b
-2 = -8 + b
b = -2 + 8
b = 6
So follow:
y = -4x/3 + 6
I hope this helped!
Answer:
By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.
Step-by-step explanation:
A mathematical translation of the statement of the problem is:

Where x, y represent the lengths of the longest and shortest feathers, respectively. Let assume that length of the shortest feather is 1/4 inches. Then, the length of the longest feather is:


By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.