Here are two ways of doing it.
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1) The current price is 100% of the price. The price went down by 6%, so since 100% - 6% = 94%, the new price is 94% of the original price.
94% * 175 = 0.94 * 175 = 164.50
The new price is 164.50
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2) The discount is 6% of 175, so first, we find the discount.
6% of 175 = 0.06 * 175 = 10.5
Now we subtract the amount of the discount from the original price.
175 - 10.50 = 164.50
The new price is 164.50
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As you can see, both methods give you the same answer, 164.50
Step-by-step explanation:
The probability of getting exactly four heads is 1/16.
There are 16 different posible outcomes and only 1 is all heads.
That makes the answer 1 out of 16 or 1/16.
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Answer:
y" = -24 / y³
Step-by-step explanation:
6x² + y² = 4
Take the derivative of both sides with respect to x.
12x + 2y y' = 0
Again, take the derivative of both sides with respect to x.
12 + 2y y" + y' (2y') = 0
12 + 2y y" + 2(y')² = 0
Solve for y' in the first equation.
2y y' = -12x
y' = -6x/y
Substitute and solve for y":
12 + 2y y" + 2(-6x/y)² = 0
12 + 2y y" + 2(36x²/y²) = 0
12 + 2y y" + 72x²/y² = 0
6y² + y³ y" + 36x² = 0
y³ y" = -36x² − 6y²
y" = (-36x² − 6y²) / y³
Solve for y² in the original equation and substitute:
y² = 4 − 6x²
y" = (-36x² − 6(4 − 6x²)) / y³
y" = (-36x² − 24 + 36x²) / y³
y" = -24 / y³
Answer:
70.2
Step-by-step explanation: