Answer:
The lateral area of the pipe is 942 sq ft.
Step-by-step explanation:
A pipe can be modeled as a cylinder prism.
The lateral area of a cylinder prism can be expressed as the product of the length by the perimeter of the section.
We start by calculating this perimeter.
As the diameter is 25 ft, the perimeter of the section can be expressed as:
Then, to know the lateral surface we multiply this perimeter by the length of the pipe (12 ft):
The lateral area of the pipe is 942 sq ft.
The amount that should be put into account is $6171.88
The formula for the compounded continuously is
(1)
where , A = future amount or the final amount
P = principal amount to be invested
r = annual interest rate
t = time
n = number of compounding in a year
According to the question we have been given that
A = $8000
r = 0.052
t = 5
n = 12
putting the required values in equation (1) we get
8000 = P(1 + 0.052/12)^(5*12)
8000 = P (1.004)^60
8000 = P*1.27
P = 8000/1.27
P = $6171.88
Thus the amount that should be put into account is $6171.88
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Using confidence interval concepts, it is found that the interval estimate of the true population proportion is of (0.35, 0.51).
<h3>What is a confidence interval?</h3>
It is given by the <u>sample proportion plus/minus the margin of error</u>.
Considering the margin of error is half the range, we have that:
M = (0.48 - 0.32)/0.5 = 0.08.
Then, considering the sample proportion is of 0.43, we have that the bounds of the interval are given as follows:
More can be learned about confidence intervals at brainly.com/question/25890103
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Answer:
Brainliest!
Step-by-step explanation:
slope intercept form is in: y = mx + b
12y = -8x + 48
y = (-8x+48)/12
y = -2/3x+4