How long will it take you to double an amount of $500 if you invest it at a rate of 7% compounded monthly? Round to 3 decimal
1 answer:
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Answer:
Step-by-step explanation:
Please refer to the attached figure for the labeling and construction in the given figure:
Given that minor angle of arc AB is .
Or in other words, we can say that angle subtended on the center O by the arc is .
Now, PA and PB are the tangents so, if we join the center of circle O with A and B, the angles formed are right angles.
i.e.
Now, we know that sum of internal angles of a quadrilateral is equal to .
Here, we have the quadrilateral AOPB.
Hence, the correct answer is:
Answer:
<em>Q'</em> = (-4, -2)
<em>R' </em>= (4, -2)
<em>S'</em> = (4, 2)
<em>T'</em> = (-4, 2)
Step-by-step explanation:
First, we can create a matrix to scale this rectangle by putting all the x coordinates in the top row and all the y coordinates in the bottom row and multiply it by 4.
Our initial matrix to multiply:
Moved to the origin:
Multiplied by four:
This gives us the points of
<em>Q'</em> = (-4, -2)
<em>R' </em>= (4, -2)
<em>S'</em> = (4, 2)
<em>T'</em> = (-4, 2)
which are our answers.