This is the order you need to use to solve this problem: PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
So you start with P and make your way down to S
(2x + 3)(x - 6) - 2x² + 3x + 30 First multiply (2x + 3)(x - 6) (distribute)
(2x)x - (2x)6 + (3)x - (3)6 = 2x² - 12x + 3x - 18 = 2x² - 9x - 18
(2x²- 9x - 18) - 2x² + 3x + 30 Simplify by combining like terms
-6x + 12
Answer: 87 feet
Step-by-step explanation:
The angle between the pilling is 60°
The adjacent side of the right angle is 150
So let the distance between the pilling be y, that is opposite side.
Opposite / adjacent = tan (60°)
y / 150 = tan (60)
y × tan (60°) = 150
Divide both side by tan (60°)
y = 150 / tan (60°)
y = 150 / 1.7321
y = 87 feet
Answer:
3u-47
Step-by-step explanation:
Just combine like terms, which for this case is the -40 and the -7. Hope this helps!
Answer:
- Only compound interest has an exponent in its formula.
- Simple interest is only earned on the original principal investment.
- Compound interest is earned on principal and interest.
Step-by-step explanation:
The above statements are self-explanatory.
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The one statement that can be argued is ...
"Compound interest earns more money than simple interest at the same rate for the same amount of time."
This is true for time periods <em>longer than the initial compounding interval</em>. If interest is compounded annually, the amount of simple interest and compound interest <em>will be the same for the first year</em>. After that, the compound interest account earns more, because interest is paid on interest and principal, not just principal.
9514 1404 393
Answer:
x = 12.75
∠C = 51.75°
Step-by-step explanation:
The two marked angles are complementary, so ...
(5x -12) +(3x) = 90
8x = 102
x = 102/8
x = 12.75
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C = (5x -12)° = (5(12.75) -12)°
∠C = 51.75°
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<em>Check</em>
E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should
