Answer:
60
Step-by-step explanation:
Think of it like this: 12 roses cost 10 dollars. You're paying this 10 dollars 5 times. To find out how many roses you will get, you would do 12 x 5. 5 being the number of times you will purchase the 12 roses.
There started with 50 and it doubles so that means:
100 at the end of year 1
200 at the end of year 2
400 at the end of year 3
800 at the end of year 4
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
If we want to has 100 in the denominator we have to divide numerator and denominator by 2. Then total value of fraction doesnt change.

Now read the fraction, its 23 hundreds, now just write as decimal, so,
0.23
Answer:
61 degrees
Step-by-step explanation:
Let's do this
So we know all the angles measure in a triangle will be 180 degrees
We have 56 and 63
To find the third, let's add and subtract
56+63=119
Now let's subtract from 180
So 180-119=61
The third angle measures 61 degrees
Now let's add them up and see if they total 180 degrees
So 56+63+61=180
Yay, we found the answer!
The answer is 61 degrees.