Jala put $600 in an interest bearing account with a annual compound interest rate of 5%. Jala determined that after seven years,
2 answers:
You might be interested in
Answer:
The new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)
Step-by-step explanation:
The rectangle ABCD on the grid shown is attached below.
From the grid, it is clear that the coordinates of point D are (-4, -4)
i.e. D(-4, -4)
As we are told that the figure is to be dilated from the origin.
A dilation tends to stretch or shrink the original figure, depending upon scale factor.
- If scale factor > 1, then the image gets enlarged
- If the scale factor < 1, the image gets reduction
When we dilate a figure from the origin by any scale factor, the new coordinates of the image can be obtained by multiplying the scale factor with the coordinates of the original object/figure.
As the the coordinates of point D are (-4, -4). If we dilate the figure by a scale factor of 1/2, the new new coordinates of point D would be:
P(x, y) → P'(1/2x, 1/2y)
D(-4, -4) → D'(-4/2, -4/2) or D'(-2, -2)
Therefore, the new coordinates of point D(-4, -4) after the dilation by a scale factor of 1/2 will be: D'(-2, -2)
Part 1: The speed of the boat traveling downstream is miles per hr.
The speed of the boat traveling upstream is miles per hr.
Part 2: The speed of the current is 4 miles per hour.
Explanation:
Part (1): The motorboat travels 18 miles per hour in still.
Let w represents the speed of the current.
When the boat travels downstream, the speed of the current will get added to the speed of the boat.
Thus, the expression can be written as miles per hr
Hence, the speed of the boat traveling downstream is miles per hr.
When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.
Thus, the expression can be written as miles per hr.
Hence, the speed of the boat traveling upstream is miles per hr.
Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.
The distance formula is given by
Substituting, we have,
---------------(1)
---------------(2)
Solving using elimination method,
Dividing both sides by 36, we have,
Substituting in
, we get,
Thus, the speed of the current is miles per hour.
Hope this is what you need
Answer: There are 3 quarts of concentrate and 9 quarts of water.
Step-by-step explanation:
Since we have given that
Ratio of number of quarts of water to number of quarts of concentrate is
3:1
Number of quarts of orange juice from concentrate and water = 12 quarts
So, the number of quarts of concentrate would be
the number of quarts of water would be
Hence, there are 3 quarts of concentrate and 9 quarts of water.