Answer:
A = $3094.58
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Simple Interest Rate Formula: A = P(1 + r)ⁿ
- A is the final amount
- P is the principal amount
- r is the rate
- n is the time (in years)
Step-by-step explanation:
<u>Step 1: Define variables</u>
A = ?
P = 3020
r = 0.05
t = 6 months = 0.5 years
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute: A = 3020(1 + 0.05)^0.5
- Add: A = 3020(1.05)^0.5
- Evaluate: A = 3020(1.0247)
- Multiply: A = 3094.58
And we have our final answer!
Answer:
So the total area of the compound shape is 48 cm². Summary: Find the missing lengths around your L shape and divide the shape into 2 rectangles. Find the area of both rectangle and add them up to give the total area of the compound shape.
Step-by-step explanation:
1. Simplify the expression
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Multiply the fractions:
Solve by distributing:
Simplify the arithmetic:
Break up the fraction:
Simplify the fraction:
Find the greatest common factor of the numerator and denominator:
Factor out and cancel the greatest common factor:
Simplify the arithmetic:
Multiply the fractions:
Solve by distributing:
Simplify the arithmetic:
Break up the fraction:
Find the greatest common factor of the numerator and denominator:
Factor out and cancel the greatest common factor:
Simplify the fraction:
2. Group all x terms on the left side of the equation
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Add to both sides:
Group like terms:
Simplify the arithmetic:
Group like terms:
Simplify the arithmetic:
3. Group all constants on the right side of the equation
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Add to both sides:
Simplify the arithmetic:
Simplify the arithmetic:
4. Isolate the x
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Divide both sides by 60:
Simplify the fraction:
Break up the fraction:
Simplify the fraction:
Find the greatest common factor of the numerator and denominator:
Factor out and cancel the greatest common factor:
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