Answer: $107,836.69 or about $107,837 (to the nearest dollar)
Step-by-step explanation:
Formula to the accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :

As per given , A = $130,000
r= 7.5% = 0.075
t= 30 months
Now,

Hence he need to invest $107,836.69 .
Okay, so this is basically telling you that there is no solution. You don't have to worry about there being one. You just have to justify (or explain) why there isn't one.
Basically, neither y or x is equal to anything. You couldn't make x equal to a value in y because x and y are both together in the equation and equal to numbers.
We can always move a factor to the other side. So,
x-2y= -8
Add 2y to the other side.
x= -8+2y
Now, plug in -8+2y as x.
3(-8+2y)- 6y=-12
-24+6y-6y= -12
The 6y's cancel out. So, we can't figure out what y is.
-24=-12 <- no y.
These two lines are parallel. They have direct proportion in each other. That is why there is no solution because the lines never cross. Parallel lines do not cross.
I hope this helps!
~kaikers
Answer:

Step-by-step explanation:
We are given the following in the question:
A(1, 1), B(2, 4), C(4, 2)
i) Slope of AB

Thus, slope of AB is 3.
ii) Point slope form
The point slope form of a line can be written as:

The point intercept form of line can be written as:

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB
Putting values, we get,

which is the required slope intercept equation of line p.
Answer:
See below:
Step-by-step explanation:
Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.
So our equations to test for are:

We can input 18 as r and then we see the following are correct:
1. No, as a -21 is not greater than -6
2. Yes, as -15 is less than 6.
3. No, as 21 is not greater than 6
4. No, as -15 is not greater than 6.
Cheers!