Interest formula: A = P(1 + rt)
Solving for r (Rate): r = (1/t)(A/P - 1)
Rate = (1/2)(2500/1800 - 1) = (1/2)(25/18 - 1) = (1/2)(7/18) = 7/36 ≈ 0.194
Rate = 0.194% per annum
Answer:
Step-by-step explanation:
Add all the beads together to get your total amount of beads (This will be your denominator)
1+2+2+1=6 beads in total
You only want to focus on the amount of green beads. (Which is 2 and that will be you numerator)
Using the stated transformation, the graph of g(2x) is given at the end of the answer.
<h3>Horizontal stretch and compression</h3>
An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:
g(x) = f(ax).
The definition of stretch or compression depends on the value of the constant a, as follows:
- If a > 1, it is a compression by a factor of 1/a.
- If a < 1, it is a stretch by a factor of 1/a.
In this problem, the rule is:
f(x) = g(2x).
Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:
That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.
More can be learned about transformations at brainly.com/question/28725644
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Answer:
m = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
m - 4m = -6
<u>Step 2: Solve for </u><em><u>m</u></em>
- Combine like terms: -3m = -6
- Divide -3 on both sides: m = 2
<u>Step 3: Check</u>
<em>Plug in m into the original equation to verify it's a solution.</em>
- Substitute in <em>m</em>: 2 - 4(2) = -6
- Multiply: 2 - 8 = -6
- Subtract: -6 = -6
Here we see that -6 does indeed equal -6.
∴ m = 2 is the solution to the equation.
Answer:
Step-by-step explanation:
60
600