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Sophie [7]
2 years ago
5

Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3 ? (1 point)

Mathematics
1 answer:
irinina [24]2 years ago
5 0

Answer:

D

Step-by-step explanation:

it shows the correct one

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Jack deposited $47,323.15 in an account earning 5% interest compounded annually.
Vera_Pavlovna [14]

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: \displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}

  • <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>

  1. [Compounded Interest Rate Formula] Substitute in variables:
    \displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}
  2. Evaluate:
    \displaystyle A = \boxed{54782.5}

∴ Jack will <em>gain</em> $7,459.31 and have a net balance of $54,782.50.

---

Learn more about Algebra I: brainly.com/question/27710663

---

Topic: Algebra I

5 0
2 years ago
To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p
Over [174]

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:

\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error is:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

<u>Given:</u>

MOE = 3

<em>σ </em>= 11

The critical value for 95% confidence interval is: z_{\alpha /2}=1.96

**Use the <em>z</em>-table for critical values.

Compute the sample size (<em>n</em>) as follows:

MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

7 0
3 years ago
How many rows are needed to seat all students. When there are 846 students and each row holds 18 people
lubasha [3.4K]

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.

6 0
4 years ago
|x-1|+2&lt;4 solving for x
Ganezh [65]

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

  • |x-1| + 2 - 2 < 4 - 2
  • |x-1|

Step 2: Solve absolute value.

  • We know x - 1 < 2 and x - 1 > -2.

Condition 1:

  • x - 1 < 2
  • x - 1 + 1 < 2 + 1 (Add 1 to both sides)
  • x < 3

Condition 2:

  • x - 1 > -2
  • x - 1 + 1 > -2 + 1 (Add 1 to both sides)
  • x>-1

Therefore, the answer is x < 3 and x > -1.

8 0
2 years ago
The factorization of x² + 3x -4 is modeled with algebra
nydimaria [60]
  • y=x²+3x-4
  • y=x²+4x-x-4
  • y=x(x+4)-1(x+4)
  • y=(x-1)(x+4)

Option C

5 0
2 years ago
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