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Bumek [7]
3 years ago
12

Rewrite using the power of the product property.81x^4y^8​

Mathematics
1 answer:
amm18123 years ago
4 0

81 is 3^4, so

3^4 \cdot x^4 \cdot \left(y^2\right)^4 = \left(3 \cdot x \cdot y^2\right)^4 = \boxed{\left(3xy^2\right)^4}

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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
Math need help please
AnnyKZ [126]

Answer:

none

Step-by-step explanation:

4x - 6 = 2(2x + 3)

4x - 6 = 4x + 6

Everything cancels out meaning there are no real solutions

5 0
2 years ago
Find the slope of the line between (1,5) and (3,9)
8_murik_8 [283]

Answer:


Step-by-step explanation: Use the two points that are given to you and substitute them into the slope formula to find the answer.

m=<u><em>y2-y1/x2-x1</em></u>

m=9-5/3-1

m=4/2

Simplify the answer.

m=4/2

m=2/1

Final answer is 2.

The slope is positive meaning it is ascending (going up).

<u><em>Hope this helps!</em></u>


8 0
3 years ago
Read 2 more answers
I need you To reply To This question I need numbers 14-17
slava [35]
The area of a circle is:
\pi \times r \times r
"r" being the radius and π being 3.14
14. The diameter is 12. So, to get the radius, we would need to halve it. So, the radius would be 6.
Now we plug in 6 for r and 3.14 for π which makes it
3.14 \times 6 \times 6
which equals 113.04
15. The diameter is 9, so to get the radius we need to halve it to get 4.5
Plug in 4.5 for r and 3.14 for π and we get
3.14 \times 4.5 \times 4.5
which equals 63.585
16. The diameter is 18, so to get the radius we need to halve it to get 9
Plug in 9 for r and 3.14 for π and we get
3.14 \times 9 \times 9
which equals 254.34
17. The diameter is 8, so to get the radius we need to halve it to get 4.
Plug in 4 for r and 3.14 for π and we get

3 0
3 years ago
Anyone help me please?
solmaris [256]
For the first one false false and the second on is true true
4 0
2 years ago
Read 2 more answers
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