Hi!
Our goal is to isolate x on one side by doing the same operation on both sides.
First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x
Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x
Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21
Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3
The answer is x = 3
Hope this helps! :)
I actually don't know it's kinda of confusing I'm sorry I'm just tired I'll give you the answer when I get it.
Answer:B,C,A,C.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The slope is the rise over the run. 2 simple coordinates I can see is (6,2) and (7,4). I usually like to visualize it instead of actually solving it mathematically. So, we can start at (6,2). The point (6,2) goes up 2 and 1 to the right in order to get (7,4.) So since the slope is rise over run ( y/x) it would be 2/1 because we went 2 up the y axis and 1 to the right of the x axis. So 2/1 is 2. Therefore, 2 is the answer. I'm sorry if my explaining isn't the best... I hope this helps though!!
Answer:
there is an economic principle that states that 1 dollar today is worth more than 1 dollar in the future, since an invested dollar could earn interests and gain value.
For example, we can assume a 6% interest rate (0.5% monthly interest rate), and using the present value formula we can determine the present value of $100:
- given to us in 30 days = $100 / (1 + 0.5%)¹ = $99.50
- given to us in 150 days = $100 / (1 + 0.5%)⁵ = $97.54
- given to us in 300 days = $100 / (1 + 0.5%)¹⁰ = $95.13
In order to calculate the value of $100 given to us tomorrow, we would need to determine a daily interest rate = 6% / 360 = 0.00017
- $100 given to us tomorrow = $100 / (1 + 0.00017)¹ = $99.98
since the amount of money is not that large and the interest rate is rather low, the difference in value is not that large. But imagine if you used a 24% interest rate instead of 6% (monthly interest rate = 2%)
- $100 given to us in 30 days = $100 / (1 + 2%)¹ = $98.04
- $100 given to us in 150 days = $100 / (1 + 2%)⁵ = $90.57
- $100 given to us in 300 days = $100 / (1 + 2%)¹⁰ = $82.03
as the interest rate increases, the present value decreases.
