Answer:
<em>Brian can purchase the laptop, but not the desktop computer</em>
Step-by-step explanation:
<u>Percentages</u>
We'll evaluate two options for Brian's purchase of a new computer. The first option is to purchase a laptop with a price of $1,100. The laptops have a 15% discount. Let's compute the price of the laptop after the discount is applied:
Original price: 1,100
Discount: 15% = 15*1,100/100=165
Final price: $935
With a budget of $1,000, Brian can purchase the laptop.
Now we'll analyze the option of purchasing the desktop computer valued at $1,365 with a discount of 25%:
Original price: 1,365
Discount: 25% = 25*1,365/100=341.25
Final price: $1023.75
With a budget of $1,000, Brian cannot purchase the desktop computer.
Answer: Brian can purchase the laptop, but not the desktop computer
Answer:
![\large\boxed{x=6\pm3\sqrt{10}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D6%5Cpm3%5Csqrt%7B10%7D%7D)
Step-by-step explanation:
![x^2-12x+36=90\\\\x^2-2(x)(6)+6^2=90\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-6)^2=90\iff x-6=\pm\sqrt{90}\\\\x-6=\pm\sqrt{9\cdot10}\\\\x-6=\pm\sqrt9\cdot\sqrt{10}\\\\x-6=\pm3\sqrt{10}\qquad\text{add 6 to both sides}\\\\x=6\pm3\sqrt{10}](https://tex.z-dn.net/?f=x%5E2-12x%2B36%3D90%5C%5C%5C%5Cx%5E2-2%28x%29%286%29%2B6%5E2%3D90%5Cqquad%5Ctext%7Buse%7D%5C%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5C%5C%5C%5C%28x-6%29%5E2%3D90%5Ciff%20x-6%3D%5Cpm%5Csqrt%7B90%7D%5C%5C%5C%5Cx-6%3D%5Cpm%5Csqrt%7B9%5Ccdot10%7D%5C%5C%5C%5Cx-6%3D%5Cpm%5Csqrt9%5Ccdot%5Csqrt%7B10%7D%5C%5C%5C%5Cx-6%3D%5Cpm3%5Csqrt%7B10%7D%5Cqquad%5Ctext%7Badd%206%20to%20both%20sides%7D%5C%5C%5C%5Cx%3D6%5Cpm3%5Csqrt%7B10%7D)
Answer:
-10.02
Step-by-step explanation:
- (-0.2)3×27/1.6 + 0.105
- -0.6×27/1.6+0.105
- -10.125+0.105
- -10.02
Answer:
-14
Step-by-step explanation:
I think Also 9 is wrong