Jordan deposited $500 in a savings account that earns 8% interest compounded annually. At the end of 2 years, she transferred th
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Answer: (9, 10800)
Step-by-step explanation:
We will first let x be the number of years and y be the total cost.
In that case, let's plug in the values for each into the equation <em>y=mx+b, </em>where m is the slope and b is the y-intercept.
The y-intercept will be the <u>value we start with before any years pass</u>, so it will be the <u>installation cost</u>. The slope is <u>how fast the total cost will increase</u>. Since the <u>operation costs</u> have to be added on every year, it will be our slope.
With that in mind, let's create both of our equations:
- y = 900x + 2700 (Oil system)
- y = 200x + 9000 (Solar system)
Since y is solved for in the first equation, we can substitute it into the second equation:
<em>[Subtracting 200x from both sides]</em>
<em /> <em>[Subtracting 2700 from both sides]</em>
<em /> <em>[Dividing both sides by 700]</em>
<em />
We can now substitute 9 for x in any equation and solve for y. Here I substituted it into the first one:
<em>[Multiplying]</em>
<em /> <em>[Adding]</em>
Hence, the solution to this linear system is (9, 10800).
When trying to determine the distance between two points, one would use the distance formula.
The distance formula is attached above and all you need to do is plug in the points in order to get the distance.
For example, if you were to plug them in, you would get:
√(0+4)^2 + (0+2)^2
The distance formula is attached above and all you need to do is plug in the points in order to get the distance.
For example, if you were to plug them in, you would get:
√(0+4)^2 + (0+2)^2