How long must $542 be invested at a rate of 7 percent to earn a 303.52 interest
The smallest unit of matter
For large candles, the price is $10. They sold 42, we can say that. 42*10 is the total price or revenue without the cost to make the candles included. The cost to make the candles is $x. So we can say profit for large candles = (420 - 42x).
For small candles. The price is $5 and 56 are sold. The cost is again $x. So the profit for small candles is (280 - 56x).
So the total profit for part one of your question is (420 - 42x) + (280 - 56x).
In part to we are told that large candles cost $5 and small candles cost $3. Substituing this into are expression gives (420 - 42(5)) + (280 - 56(3)). This gives us $322. So the total profit is $322.
Answer: A) none of the equations are identities
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Part 1
Plug in theta = 0
sin(theta+pi/2) - cos(theta+pi/6) = 2*cos(theta) - sin(theta)
sin(0+pi/2) - cos(0+pi/6) = 2*cos(0) - sin(0)
1 - sqrt(3)/2 = 2*1 - 0
0.13 = 2
which is a false equation
So we do not have an identity in equation 1.
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Part 2
Plug in theta = 0
sin(theta+pi/6) + cos(theta+pi/3) = (sqrt(2)/3)*sin(theta) + 2*cos(theta)
sin(0+pi/6) + cos(0+pi/3) = (sqrt(2)/3)*sin(0) + 2*cos(0)
1/2 + 1/2 = 0 + 2
1 = 2
which is also false
This is not an identity either.
