Answer:
We will choose option D.
Step-by-step explanation:
Milton took out a loan for $2400 at 7% interest compounded annually.
So, after one year his loan will grow up to
dollars.
Therefore, the interest added to the principal is $(2568 - 2400) = $168
But Milton makes yearly payment of $140 which is less than the interest i.e. $168 which is added to his loan in the first year.
Therefore, he can not ever pay off the loan.
So, we will choose option D. (Answer)
You can get 9 because in one foot there is 12 inches and there in 9 feet
Answer:
Step-by-step explanation:
A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:
x ≥ 2y . . . . . pumpkin acres are at least twice corn acres
x - y ≤ 10 . . . . the difference in acreage will not exceed 10
12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18
0 ≤ y . . . . . the number of corn acres is non-negative
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B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...
P = 360x +225y
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C) see below for a graph
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D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.
So profit is maximized for 18 acres of pumpkins and 9 acres of corn.
Maximum profit is $360·18 +$225·9 = $8505.
Answer:
36
Step-by-step explanation:
Hello,
If
it becomes

and 

So,

a = 1
b = 1
c = 17
d = 17
e = 0
Then a + b + c + d + e = 36
Thanks
The first thing we must do for this case is to find the equation of the line.

We have then:

We choose an ordered pair:

Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5

The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.