Answer:
y=-5x+16
Step-by-step explanation:
Plug in the slope and point coordinates into point-slope form (attached in image)
(y-6)=-5(x-2)
1) Distribute -5 to x and -2:
y-6=-5x+10
2) Add 6 to both sides:
y=-5x+16
Answer:
D.
Step-by-step explanation:
Ape x.
Answer:
52 Trees
Step-by-step explanation:
If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.
Yield = 85 X 80
Let x be the additional tree planted per acre.
For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.
Therefore, the yield:

Next, we maximize F(x) by taking its derivatives and solving for its critical point.


It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.
Therefore, number of trees per acre she should plant:
85+(-32.5)
=85-32.5
=52.5 Trees
Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.
Answer: the total lifetime cost for the loan is $11616.4
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total cost of the loan at the end of t years.
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount borrowed.
From the information given,
P = $5,500
r = 7.5% = 7.5/100 = 0.075
n = 12 because it was compounded 12 times in a year.
t = 10 years
Therefore,
A = 5500(1 + 0.075/12)^12 × 10
A = 5500(1 + 0.00625)^120
A = 5500(1.00625)^120
A = $11616.4
1. y=-2x+3
You have to take the y-intercept of the slope (when x is zero) and the actual slope itself.