Answer:
The nail would be 30 feet above the ground in 10 years.
Step-by-step explanation:
We are given the following in the question:
Height of nail = 10 feet.
The tree grows taller at a rate of 2 feet per year.
Thus, the height of nail can be represented by a linear function:

where t is the number of years.
We have to find the height of nail in 10 years.
Putting t = 10, we get,

Thus, the nail would be 30 feet above the ground in 10 years.
Answer: Gary needs to work more than 25hours for the week to earn above $400.
Step-by-step explanation:
For Gary to be paid $50 per week means he worked $50/ $15.50= 3.23 hours for the week.
To make over $400 this week he needs to work for
400/15.50 = 25.81 hours and more for the week to earn above $400
Answer:
50
Step-by-step explanation:
The slope is change in y divided by the change in x
Change in distance / change in hour
m = (400-200)/(8-4)
= 200/4
= 50
Answer:
0.078
Step-by-step explanation:
Margin of error = z√(p(1-p)/n)
Given
p-hat = 0.43
n = 270
z at 99% confidence interval = 2.576
Substitute
MOE = 2.576√0.43(1-0.43)/270
MOE = 2.576√0.43*0.57/270
MOE = 2.576√0.2451/270
MOE = 2.576*0.030129
MOE = 0.078
Hence the margin og error is 0.078