The annual yield per lemon tree is fairly constant at 330 pounds per tree when the number of trees per acre is 75 or fewer. for each additional tree over 75, the annual yield per tree for all trees on the acre decreases by 6 pounds due to overcrowding. express the yield per tree, y, in pounds, as a function of the number of lemon trees per acre, x, where x is greater than 75.

We can express the yield per tree as

where y: yield per tree and x: number of trees, with x>75.

Step-by-step explanation:

With this data we have that:

1) The annual yield per lemon tree is 330 pounds per tree when the number of trees per acre is 75

being y the yield per tree.

2) For each additional tree over 75, the annual yield per tree for all trees on the acre decreases by 6 pounds

being x the number of trees.

If we rearrange and integrate we have

If we use , we have

Then we can express the yield per tree as

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%