Answer: $2,393.42
Step-by-step explanation:
I suppose that the salary is yearly.
So in one year, 365 days, the net pay would be $62,400.
Now, "by-weekly" refers to two weeks or 14 days.
If she gets paid $62,400 in 365 days.
Then in 14 she gets paid.
N = (14/365)*$62,400 = $2,393.42
Answer:
480
Step-by-step explanation:
19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
brainly.com/question/12120831
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Answer:
It should be the top left graph where there is point (1,1) and (-1, -1) y = 1/x
Step-by-step explanation:
from the original graph, I see:
f(x) = 2/x because f(2) = 1 = 2/2
f(1/4)= 2/(1/4) = 2
...
so then f(2x) compresses f(x) horizontally by a factor of 2
so f(2x) = 2/(2x) = 1/x