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:
x = 10
y = 70
Step-by-step explanation:
By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80
and 2x + y = 90
By using the substitution method on x + y = 80, it will be y = -x + 80
When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90
Then it will simplify to x = 10
After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70
Answer:Jake's total cost is $22.05
Step-by-step explanation:
The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as
30/100 × 30 = $9
The new price of the sweater would be 30 - 9 = $21
Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be
5/100 × 21 = 0.05×21 = $1.05
Jake's total cost would be
21 + 1.05 = $22.05
Answer:B
Step-by-step explanation:
DeShawn would have more money in the long run if he invested in the 20-year endowment
DeShawn already makes $45,000 yearly, which makes him rich enough to purchase the 20 year endowment plans, the 20 year life plan won't be wise, because it last for 20 years, and this will end before he retires, 38 + 20 = 58 and once it ends, no payment will be made if he's still alive, so what if something happens to him in the 2 years inbetween the end of the 20 year term plan and his retirement? That's where the plan doesn't favor him and his family, but the 20 year endowment plan once it's finished, he will be paid the sum assured to him, plus bonuses, and his family will be covered if something happens to him in the 2 years inbetween the end of the 20 year endowment plan and his retirement