You know that two lines are parallel if they have the same slope, so the new line will also have slope

Because the equation of the given line is written in the form

Then, you can use point slope equation, which is

So,

Therefore, the equation of the line that is parallel to y=1/3x-2 and goes through point (0,6) is
840 = 70% (100% - 30%)
840 : 70 * 100 =
1200$ is your answer
-----------------------------------
1200 - 30% = 840%
Answer:
Let p be the amount invested at 8%. Then the amount invested at 5% would be 30,000-p. So:
.08p+.05(30,000-p)=2100
.03p+1500=2100
.03p=600
p=20,000
$20,000 was invested at 8%; $10,000 was invested at 5%
Step-by-step explanation:
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When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.
For example:


When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.
For example:



You multiply 3 into each exponent in the numerator and the denominator

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

When you have something like this:

You subtract the exponents together, so:

Your answer is the second option
For numbers 9 and 10, you just need to find the slope and y-intercept. To find the slope, do change in y over change in x which would be -5 minus -3 over -2 minus -1. and that would equal -2 over -1 which simplifies to 2. So 2 is the slope! and that's a little confusing so I'll attach a picture showing those steps.
to find the y-intercept, plug in an ordered pair in the slope-intercept equation: y=mx + b. Let's just use (-1, -3). So for y, you'd plug in y from the ordered pair, -3, and for the slope (m) you'd plug in 2, since you found that earlier. for x, use the ordered pair again, -1. And you're trying to find the y-intercept (b) so leave that blank to find. So plug all the numbers in and you get -3 = 2(-1) + b. Which you then solve as a one step equation. Again, I've attached a picture if the words are confusing.
for number 10, do the same thing to find the slope! And they've given you the y-intercept in the problem (0,-5). Now I feel like I've written too much so I'll cover the other problems in another answer lol.