Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b
Answer:
Option C. 50 square centimeters
Step-by-step explanation:
we know that
The surface area is equal to the area of four triangles plus the area of rectangle
so
![SA=2[\frac{1}{2}(4)(2)]+2[\frac{1}{2}(6)(3)]+(6)(4)](https://tex.z-dn.net/?f=SA%3D2%5B%5Cfrac%7B1%7D%7B2%7D%284%29%282%29%5D%2B2%5B%5Cfrac%7B1%7D%7B2%7D%286%29%283%29%5D%2B%286%29%284%29)
Answer:
7 hours and 15 minutes
Step-by-step explanation:
8 - 3/4 = 7 1/4 hours
<span>Total = Principal × ( 1 + Rate )<span>^years
</span></span><span>Total = 150,000 * (1.055) ^ 30
</span>Total = 150,000 *
<span>
<span>
<span>
4.9839512884
</span></span></span>Total =
<span>
<span>
<span>
747,592.69</span></span></span>
<span>Total = 150,000 * (1.065) ^ 30
</span><span><span><span>Total = 150,000 * 6.614366163
</span>
</span>
</span>
<span>Total = 992,154.92</span>
Difference = 992,154.92 -<span>747,592.69 =
</span><span>244,562.23
</span>
Source:
http://www.1728.org/compint.htm
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