Answer:
Jack's final bank account amount will be $54,782.50, <em>earning</em> <u>$7,459.31</u> in <em>interest</em>.
General Formulas and Concepts:
<u>Algebra I</u>
Compounded Interest Rate Formula: 
- <em>A</em> is final amount
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>n</em> is compounded rate
- <em>t</em> is time
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>P</em> = $47,323.15
<em>r</em> = 0.05
<em>n</em> = 1
<em>t</em> = 3
<u>Step 2: Find Interest</u>
- [Compounded Interest Rate Formula] Substitute in variables:

- Evaluate:

∴ Jack will <em>gain</em> $7,459.31 and have a net balance of $54,782.50.
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Topic: Algebra I
Answer:
The minimum sample needed to provide a margin of error of 3 or less is 52.
Step-by-step explanation:
The confidence interval for population mean (<em>μ</em>) is:

The margin of error is:

<u>Given:</u>
MOE = 3
<em>σ </em>= 11
The critical value for 95% confidence interval is: 
**Use the <em>z</em>-table for critical values.
Compute the sample size (<em>n</em>) as follows:

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.
Answer:
47 rows
Step-by-step explanation:
To find the amount of needed rows, we will use the math operation division. We will take the total and divide it by the amount in each row.
846/18=47
To seat 18 people in each row, you will need 47 rows.
Answer:
x < 3 and x > -1
Step-by-step explanation:
Step 1: Subtract 2 from both sides.
Step 2: Solve absolute value.
- We know x - 1 < 2 and x - 1 > -2.
Condition 1:
Condition 2:
Therefore, the answer is x < 3 and x > -1.