If P = (3,2), find the image
1 answer:
Given:
The point P = (3,2) is rotated 270° counterclockwise about the origin.
To find:
The image of the given point after rotation.
Solution:
If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:
Using this rule, we get
Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).
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We have been given that an account is opened with a balance of $3,000 and relative growth rate for a certain type of mutual fund is 15% per year.
In order to tackle this problem we have to find the value of mutual fund after 5 years. For our purpose we will use compound interest formula.
,where A= amount after t years, P= principal amount, r= interest rate (decimal) and t= number of years.
After substituting our given values in above formula we will get
Now we will solve for A
Therefore, after 5 years mutual fund is worth $6034.07.