Answer:
$15,720
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Simple Interest Rate Formula: A = P(1 + rt)
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>t</em> is time
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables.</em>
<em>P</em> = $52,400
<em>r</em> = 6%
<em>t</em> = 5
<u>Step 2: Find Current Investment Value</u>
- Substitute in variables [Simple Interest Rate Formula]: A = 52,400(1 + 0.06 · 5)
- [Order of Operations] Evaluate: A = $68,120
<u>Step 3: Find Total Return</u>
- Set up: R = A - P
- Substitute in variables: R = 68,120 - 52,400
- [Order of Operations] Evaluate: R = $15,720
4] Which perfect square root is close to
?
Well we know that 7 times 7 is 49, and 6 times 6 is 36, so our answer will be between
and 
The closer root is
, so we can approximate that the square root of 39 is around <u><em>6.2</em></u>.
5] We can do a similar step-by-step here.
4 times 4 is 16, and 5 times 5 is 20.
This gives us
and 
Well, they are both equal distance from
(2), so we can do this:
We know it'll be between 4 and 5 (the number plot in the answer lets us know that too)
4 times 4 is 16
4.1 times 4.1 is around 16.8
4.2 times 4.2 is about 17.64
4.3 times 4.3 is 18.49
Now that we have an 18, we can stop going and see which one is closer.
18 - 18.49 = -0.49
18 - 17.64 = 0.36
4.2 times 4.2 is closer, so we can approzimate that
is around 4.2
- See attachment for number line plot
Note] Hope this helps! Upon using a calculator I can confirm these answers are correct :D
Answer:
=========
<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
Answer:
Hello! Your answer would be, E)
Step-by-step explanation:
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
Is this a multiple choice?
Answer:
answer is 13 plus 26 is equal to 39