Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, 6) → x₁ = -5, y₁ = 6
Point (3, 2) → x₂ = 3, y₂ = 2
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formulas]:

- [Distance] [√Radical] (Parenthesis) Add/Subtract:

- [Distance] [√Radical] Evaluate exponents:

- [Distance] [√Radical] Add:

- [Distance] [√Radical] Simplify:

X = 250 mg tabs
y = 500 mg tabs
2200x + 1800y = 39200....multiply by -1
2200x + 2200y = 44000
--------------------------------
-2200x - 1800y = - 39200 (result of multiplying by -1)
2200x + 2200y = 44000
--------------------------------add
400y = 4800
y = 4800/400
y = 12...... the 500 mg tabs (y) costs $ 12 per bottle
2200x + 2200y = 44000
2200x + 2200(12) = 44000
2200x + 26400 = 44000
2200x = 44000 - 26400
2200x = 17600
x = 17600/2200
x = 8 <== the 250 mg tabs (x) costs $ 8 per bottle
Answer:
A. $2.26
Step-by-step explanation:
An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...
H(t) = 110(1.035)^t
For t = 2, the two balances will be ...
H(2) = 110(1.035^2) = 117.83
R(2) = 110(1.025^2) = 115.57
The difference is ...
$117.83 -115.57 = $2.26
Harper's account will have $2.26 more.
_____
As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.
Answer:
180
Step-by-step explanation:
Triangle: 1/2BH
Square: BH
1. Split up the shapes
2. Use the area formula for square and triangle
Square area: 135
Triangle area: 45
3. Add