2p=pe^rt
2=e^0.09t
Log(2)/log(e)=0.09t
T=7.70 years
Answer:
2740
Step-by-step explanation:
earnings from commission is 240 (6000x.04). Her base salary 0f 2500 plus commission of 240 = 2740
If the shape is the same, but the size is different, <em>dilation is involved</em>. There may be other transformations that are also involved (such as rotation, translation, or reflection), so MNPQ may or may not be a straight dilation of M'N'P'Q'.
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Translation and dilation can sometimes be combined to a dilation about a point that is not the origin. Reflection might be accommodated by using a negative dilation factor. However, rotation cannot be accomplished using dilation alone.
The answer to your question is 3:23
A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -12 ----> add 8 from both sides
x + 12 = 0
We can do the same for the other zero.
x = 2 ----> subtract from both sides
x - 2 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 12)(x - 2)
f(x) = x^2 + 12x - 2x - 24
f(x) = x^2 + 10x - 24
