Answer:
x = 2
Step-by-step explanation:
Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:
x^2 - 2x + 1 = x^2 + 2x - 7
We now do algebra to isolate x. Subtract 1 from both sides.
x^2 - 2x = x^2 + 2x - 8
Subtract 2x from both sides.
x^2 - 4x = x^2 - 8
Subtract x^2 from both sides.
-4x = -8
Divide both sides by -4.
x = 2
First account
interest = 6/12 × 5.25% × 4,000
interest = 1/2 × 5.25/100 × 4,000
interest = 1/2 × 210
interest = 105 dollars
Second account
interest = 6/12 × 6% × 2,000
interest = 1/2 × 6/100 × 2,000
interest = 1/2 × 120
interest = 60 dollars
After 6 months, the first account will have earned more interest than the second account
More information is needed to answer you.
Step-by-step explanation:
2 : 3 = 6 : x ,
Ratio can be written as
2*3 = 6, we multiply top and bottom of fraction by 3
So value of x=9
4 : 7 = x : 42 ,
7*6 = 42, we multiply top and bottom of fraction by 6
So value of x=24
2x : 48 = 3 : 12,
\frac{3}{12}[/tex] = ![\frac{2x}{48}12*4 = 48, we multiply top and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B48%7D%3C%2Fp%3E%3Cp%3E12%2A4%20%3D%2048%2C%20we%20multiply%20top%20%20and%20bottom%20of%20fraction%20by%204%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cfrac%7B3%2A4%7D%7B12%2A4%7D%20%3D%20%5Cfrac%7B12%7D%7B48%7D)
2x= 12, so x= 6
12 : 15 = x : 20
,
we multiply top and bottom by 4/3
So value of x=16
