Answer: $4110.8 (more likely - 95% sure) or $2,107 (less likely)
Step-by-step explanation: It could be $4110.8 because you have the take the total they made and subtract is from the cost of the toys ($7,230-$2,450=$4,780). Then you have to take the result of that and get 14% of it, then subtract that from the $4,780 amount. Then you get the final answer which is $4110.8.
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However, it could also be $2,107 because the question itsn't that clear in the second sentence. It could be saying that $2,450 is the price of the toys (which is what I assumed above), or that it is the profit that the $2,450 (which I used below). I think that the above answer is more likely because if not then the first number would never be used. Anyways here is the second way it could be.
Step-by-step explanation: It could be $2,107 because you take the profit ($2,450) and get 14% of it, then subtract that from the $2,450 amount. Then you get the final answer which is $2,107.
If I was you, I would do the first one ($4110.8) because I really think it is that one. I just put the other one here just in case.
Find, corrrect to the nearest degree, the three angles of the triangle with the given vertices. D(0,1,1), E(-2,4,3), C(1,2,-1)
Sholpan [36]
Answer:
The three angles of the triangle given above are 23, 73 and 84 correct to the nearest degree. The concept of dot product under vectors was applied in solving this problem. The three positions forming the triangle were taken as positions vectors. The Dot product also known as scalar product is a very good way of finding the angle between two vectors. ( in this case the sides of the triangle given above). Below is a picture of the step by step procedure of the solution.
Step-by-step explanation:
The first thing to do is to treat the given positions in space as position vectors which gives us room to perform vector manipulations on them. Next we calculate the magnitude of the position vector which is the square root of the sun of the square of the positions of the vectors along the three respective axes). Then we calculate the dot product. After this is calculated the angle can then be found easily using formula for the dot product.
Thank you for reading this and I hope it is helpful to you.
Answer:

Step-by-step explanation:

We know: the denominator must be different than 0.
Therefore
<em>add 8 to both sides</em>

<em>divide both sides by 2</em>

Answer:
f(x) = -3(x+3)(x-1)
Step-by-step explanation:
x = -3 & 1; f(x) = 9
f(x) = a(x-r1)(x-r2)
f(0) = a(x-r1)(x-r2) = 9; 9 = a(0-(-3))(0-1)
9 = a(3)(-1); 9 = a(-3)
a = -3
f(x) = -3(x+3)(x-1)
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:

And an odd function has the following property:

So, let's test some values for cos(x).
Let's use π/3:

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:

And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!