Answer:
7m³ - 11m² + 5m + 17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: 3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9
- Combine like terms (m³): 7m³ - 4m² + 8 - 7m² + 5m + 9
- Combine like terms (m²): 7m³ - 11m² + 8 + 5m + 9
- Combine like terms (Z): 7m³ - 11m² + 5m + 17
Answer:
-4x - 8
Step-by-step explanation:
Step 1: Write out expression
-2(2x + 4)
Step 2: Distribute -2
-4x - 8
Answer:
5 π/4
Step-by-step explanation:
Please see attachment
Answer:
$2,800
Step-by-step explanation:
The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.
I = (2000)(0.05)(8)
I = $800
Then we add that to the principal to get $2,800
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Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?
I = PRT
400 = P(0.06)(3)
400 = 0.18P
P = $2,222. 22
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Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?
I = PRT
I = (275)(0.08)(12)
I = $264
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Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???
I = PRT
I = (6000)(0.05)(T)
Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.
Answer:
2/5 = 6/15
1/3 = 5/15
Step-by-step explanation:
LLCD of 5 and 3 is 15.
So 2/5 = 2*3/15 = 6/15
and
1/3 = 5*1 / 15 = 5/15