Let w be the initial value of Otto's internet stock, in dollars. At the beginning of the year, the total value of his portfolio is w+10,000 dollars. At the end of the year, the total value of his portfolio is 1.1w+9,000 dollars. Since increasing by 6% is equivalent to multiplying by 1.06, we have

1.06(w+10,000)=1.1w +9,000

Distributing and collecting terms, we find w=40,000. At the end of the year, his internet stock is worth 40,000* 1.1=44,000 dollars.

*credits: AoPS

3 0

3 years ago

I need help plsss help

eduard

Answer:

Step-by-step explanation:

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7 0

3 years ago

Y>-3x+1 How do I graph this

Brut [27]

Answer:

The graph of y>-3x+1 through the points (0,1) and (1,-2)

Step-by-step explanation:

y=3x+1 is in the slope intercept form

y=mx+b

m = the slope in this case 3

b = the y intercept in this case 1.

Think of b the y intercept as the beginning this is where to start the graph.

So start with (0,1) the y intercept and make the first point at (0,1)

Think of m ( the slope) as the mountain slope, This is the angle of the slope of the line

So in this case go up three on the y axis and over 1 on the x axis.

make the next point at 1 + 3 = 4 for the y value and 0 + 1 = 1 for the x value. Make the next point at ( 1, 4)

Now connect the points. creating the line

4 0

3 years ago