Answer:
$11838.7
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:
- <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> = 9500
<em>r</em> = 4.5% = 0.045
<em>t</em> = 5
<u>Step 2: Find </u><em><u>A</u></em>
- Substitute in variables [Simple Interest Rate Formula]: A = 9500(1 + 0.045)⁵
- (Parenthesis) Add: A = 9500(1.045)⁵
- Evaluate exponents: A = 9500(1.24618)
- Multiply: A = 11838.7
Answer:
Step-by-step explanation:
Basically the word problem here is trying to get us to find the line using the two points (113,70) and (173,80).
It also tells us by saying that we're modeling the temperature that we're going to be using the y = mx + b formula. m and b are what we'll mainly be looking for.
Let's start by finding m, the slope. We'll be using the point slope formula:
So m = 1/6.
Now let's use that m and choose one of the points (I chose (113,70) ) to plug in everything but b in the original formula
so now that we know our b and our m, we can plug those into the original equation to get our answer!
Answer:
C. 3/4
Step-by-step explanation:
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
From the diagram
Opposite = x
Adjacent = 12
tan <B = x/12
Since cot <B = 1/tan <B
cot <B = 12/x
Get x using pythagoras theorem
x² = 20²-12²
x² = 400 -144
x² = 256
x = 16
Hence cot <B = 12/16
cot <B =3/4
Answer:
A translation is when you move in a direction but the shape doesn't turn or change.
You translate an image by moving a shape in any direction without turning it for example: *draw a shape* then move it to anywhere but don't turn the shape.
An easy way of finding the new coordinates is just by looking to which respect it's too. For example when you do a respect to the y axis you keep the second number in the coordinate pair and change the first number's sign in the coordinate pair same to the x axis.
It depends on their sign. Change in x-coordinate. Change in y-coordinate. Right. Increases. No Change. Left. Decreases. No Change. Up. No Change. Increases. Down. No Change. Decreases .
We use vectors to represent a translation. Which means we need direction (up, down, left, or right) and magnitude (length of units).
Step-by-step explanation:
The factors are x + 2 and x + 6.