Answer:
$21.60
Step-by-step explanation:
Step-by-step explanation:
1/8+1/2make both denominators 8
in 1/2 multiply both the numerator and the denominator by 4to get 4/8
1/8 + 4/8=5/8
Answer:
![x=-3\pm i \sqrt{5}](https://tex.z-dn.net/?f=x%3D-3%5Cpm%20i%20%5Csqrt%7B5%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
![x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = -x² - 6x - 14
<u>Step 2: Set up</u>
- Set equation equal to 0: -x² - 6x - 14 = 0
- Factor out -1: -(x² + 6x + 14) = 0
- Divide both sides by -1: x² + 6x + 14 = 0
<u>Step 3: Define variables</u>
a = 1
b = 6
c = 14
<u>Step 4: Find roots</u>
- Substitute:
![x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-6%5Cpm%5Csqrt%7B6%5E2-4%281%29%2814%29%7D%20%7D%7B2%281%29%7D)
- Exponents:
![x=\frac{-6\pm\sqrt{36-4(1)(14)} }{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-6%5Cpm%5Csqrt%7B36-4%281%29%2814%29%7D%20%7D%7B2%281%29%7D)
- Multiply:
![x=\frac{-6\pm\sqrt{36-56} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-6%5Cpm%5Csqrt%7B36-56%7D%20%7D%7B2%7D)
- Subtract:
![x=\frac{-6\pm\sqrt{-20} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-6%5Cpm%5Csqrt%7B-20%7D%20%7D%7B2%7D)
- Factor:
![x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-6%5Cpm%5Csqrt%7B-1%7D%20%5Csqrt%7B20%7D%20%7D%7B2%7D)
- Simplify:
![x=\frac{-6\pm2i \sqrt{5} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-6%5Cpm2i%20%5Csqrt%7B5%7D%20%7D%7B2%7D)
- Factor:
![x=\frac{2(-3\pm i \sqrt{5} )}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%28-3%5Cpm%20i%20%5Csqrt%7B5%7D%20%29%7D%7B2%7D)
- Divide:
![x=-3\pm i \sqrt{5}](https://tex.z-dn.net/?f=x%3D-3%5Cpm%20i%20%5Csqrt%7B5%7D)
Answer:
7 years total
Step-by-step explanation:
22200*.1475=3274.5
keep subtracting 3274.5 until you reach 2200$ or less, which is 7 years