Let I be the value of his internet stocks at the start of the year
Let P be the value of his portfolio at the start of the year
So......at the start of the year the value of his portfolio was
I + 10000 = P (1)
At the end of the year, since his portfolio decreased by 6% from the start of the year....it is now worth .94P
And his internet stock is now worth 1.10 I since it increased by 10%
So.....at the end of the year we have that
1.10 I + 9000 =.94P (2) sub (1) into (2)
1.10 I + 9000 = .94 ( I + 10000) simplify
1.10 I + 9000 = .94 I + 9400 subtract 9000, .94 I from both sides
.16 I = 400 divide both sides by 16
I = $2500 = value of internet stock at the start of the year
So....at the end of the year, they were worth 1.10 * 2500 = $2750
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