3x - 7 = 5x + 9
3x - 5x = 9 + 7
-2x = 16
x = 16/-2
x = -8 <== ur number
Answer:
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Answer:
2468.11 dollars
Step-by-step explanation:
Amount that should be available after four years =3000 $
Interest rate = 5%
No of years =4
Let P be the principal invested
Then 
Hence 2468.11 dollars should be deposited to get 3000 dollars after 4 years at 5% interest.
The answer should be 8+[(2^2)+3]-5
Hope this helps!
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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