g An apple grower finds that if she plants 40 trees per acre, each tree will yield 250 bushels of apples. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 5 bushels. How many trees should she plant per acre to maximize her harvest

5

Step-by-step explanation:

Number of additional trees is

From the question we formulate the function

Differentiating with respect to we get

Equating with zero

Double derivative of the function we get

So, at the function is maximum.

So, 5 trees needs to planted per acre in order to maximize her harvest.

Wholesale: $37.50

Discount: $7.50

Explanation:

*The wholesale cost of all the bikes they sell is 30%

*Andre wants to buy a bike for $125

*If the bike is discounted by 20%

= (solve for x)

100x = 125 x 30

100x = 3750

(x =  $37.50 for the wholesale)

For the discount, we need to find 20% of 37.5

An easier way we can do is to find 10% and to multiply by 2. So, move the decimal to the left of 37.5 and we get 3.75 and multiply by 2

3.75 x 2 = 7.5 ($7.50 the discount)

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