Answer:
machine 1 is working faster.
Step-by-step explanation:
The common difference is 4. If you look at the numbers 1 and 5, there is a difference of 4. If you look at 5 and 9, there is also a difference of 4. If you look at 9 and 13, there is a difference of 4. Therefore, in this arithmetic sequence, the common difference is 4.
Simple interest is where 3% of the original value is added on each year
goal number = $102
original number = $680
3% of $680 can be found by getting 1% and multiplying by 3
100% = original number = $680
100% / 100 = 1% so $680 / 100 = $6.80 = 1%
3% = $6.80 * 3 = $20.40
so each year the money rises by $20.40
to find out how many years it would take to get to $102:
$102 / $20.40 = 5 years
Answer:
<h2>(0,1) and (2,5).</h2>
Step-by-step explanation:
The graph of the inequality is attached.
Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression

From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.
<h3>For (0, 1):</h3>

Which is true, so (0, 1) is solution.
<h3>For (2, 5):</h3>

Which is true, so (2, 5) is solution.
Therefore, the solutions are (0,1) and (2,5).
A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture: