The point estimate would be 2.25%.
Confidence intervals are centered around a point estimate; that is, the point estimate is in the very middle of the confidence interval. We can find the point estimate by averaging both ends of the confidence interval together:
(1.1+3.4)/2 = 2.25.
<h3>The worth after 4 years is $ 680.24</h3>
<em><u>Solution:</u></em>
<em><u>The formula for compound interest, including principal sum, is:</u></em>

Where,
A = the future value of the investment
P = the principal investment amount
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per unit t
t = the time the money is invested
From given,
n = 1 ( since interest is compounded annually)
p = 500
t = 4

<em><u>Substituting the values we get,</u></em>

Thus the worth after 4 years is $ 680.24
The equation to represent the number of people that can attend the event will be 18500 +/- 1200.
<h3>How to calculate the value?</h3>
Based on the information, equation to represent the number of people that can attend the event will be 18500 +/- 1200.
The maximum number will be:
= 18500 + 1200
= 19700
The minimum number will be:
= 18500 - 1200
= 17300
Learn more about equations on:
brainly.com/question/13763238
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The numbers are 9 and 27.
Answer:
After 9 movies they will have paid the same amount
Step-by-step explanation:
We must write an equation for Duke's expenses and an equation to represent Tennessee's expenses.
<u>For Duke expenses we have:</u>
A fixed expense of $ 111.60 per year
A variable expense of $ 4.00 for each movie.
The equation that represents the expenses is a linear equation like the one shown below

Where C represents the cost and x the number of movies.
<u>For Tennessee expenses we have:</u>
A variable expense of $ 16.40 for each film.
The equation that represents the expenses is a linear equation like the one shown below

Where C represents the cost and x the number of movies.
To know after how many movies have paid the same amount, we equate both equations and solve the variable x

After 9 movies they will have paid the same amount