Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Coordinate Planes
- Reading a coordinate plane
- Coordinates (x, y)
Slope Formula: 
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify points</em>
Point (0, 2)
Point (3, -3)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
- Simplify:
Answer:
It takes 22.52 years for the balance to triple in value.
Step-by-step explanation:
Continuous compounding:
The amount of money earned using continuous compounding is given by the following equation:
In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
Interest rate of 5%.
This means that 
, and thus:
Time for the balance to triple?
This is t for which 
. So
It takes 22.52 years for the balance to triple in value.
You want to buy something that costs $98, and it's on sale for 30% off. What is the item's sale price?
First, convert the 30% to a real mathematical number. For percents, this is always done by dividing the 30% by 100%, or 30% / 100% = 0.300.
Second, find out what 30% of $98 is. This is the amount of the sale discount. This is always found by mulitplying 0.300 by the item's cost $98, like this:
0.300 x $98 = $29.40.
So for this sale, you'll save $29.40 on this item.
This means, the cost of the item to you is
$98 - $29.40 = $68.60.
Answer:
x = 323.65
Step-by-step explanation:
A number can be represented through x.
x + 35% = 324
35% means 0.35
x + 0.35 = 324
- 0.35 - 0.35
x = 323.65
hope this helps!
