Sam ran 40 yards in 5 seconds. What was her rate of speed in miles per hour? A) 2 mph B) 5 mph C) 16 mph D) 22 mph
2 answers:
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Answer:
15 months.
Step-by-step explanation:
Given:
Laura retired and saved about $414,731.00 over the course of her career.
She plans to withdraw $2,224.00 each month to pay for living expenses.
After a certain amount of time, the balance in Laura's account is $381,371.00
Question asked:
How many months have passed since Laura retired ?
Solution:
Let total number of months for which she withdrew =
Total saving amount = $414,731
Unitary method:
In 1 month she withdrew = $2,224
In months she withdrew =
Total withdrew amount =
Balance amount after months = $381,371
<u>Balance amount = Total saving amount - Total withdrew amount</u>
Thus, 15 months have passed since Laura retired.
The attached figure represents the image of A"B"C" after the transformation
<h3>How to transform the triangle?</h3>The transformation rule is given as:
A"B"C" = Ro90° (T(-4,3)(ABC))
This means that we rotate the triangle 90 degrees clockwise, and then translate the triangle
From the figure, the coordinates of ABC are
A = (-1, 2)
B = (1, 4)
C = (3, -1)
The rule of 90 degrees clockwise rotation is
(x,y) ⇒ (y,-x)
So, we have
A' = (2, 1)
B' = (4, -1)
C' = (-1, -3)
The translation of the triangle by T(-4,3) is
(x,y) ⇒ (x - 4, y + 3)
So, we have
A'' = (-2, 4)
B'' = (0, 2)
C'' = (-5, 0)
See attachment for the image of the transformation
Read more about transformation at:
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