Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.

Multiply both sides by 100.


Divide both sides by 50.


The amount invested at 7% is
.
The amount invested at 8% is

The amount invested at 9% is

Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
<u>Case 1 :</u>
5 positive x-tiles = 5x
1 positive unit tile = 1
5 positive x-tiles and 1 positive unit tile = 5x + 1
<u>Case 2 :</u>
2 negative x-tiles = -2x
6 positive unit tiles = 6
so, 2 negative x-tiles and 6 positive unit tiles = -2x+6
We see that Gracia has represented the 1st case as 5x+(-1), which should be 5 positive x-tiles and 1 negative unit tile.
Hence the statement : 5 positive x-tiles and 1 positive unit tile to represent 5x+(-1) , explains Gracia's error.
Answer:
Step-by-step explanation:
Finding an equation of a tangent line to that function requires that we find the derivative of the function at that point. Since this is an absolute value function with its cusp at (2, 5), the function is not differentiable here.
Answer: 1/b6
Step-by-step explanation: