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# HELP MEEE CPHILL, MELODY!!!!!

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Otto's investment portfolio consisted of shares of internet stock and copper stock. During the year, the value of his internet shares increased \$10\%\$, but the value of his copper shares decreased from \$\\$10{,}000\$ to \$\\$9{,}000\$. During the same year, the total value of his portfolio increased by \$6\%\$. What was the dollar value of his internet shares at the end of the year?

Mar 25, 2020

#1
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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

Mar 25, 2020
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NIce, CPhill!

CalTheGreat  Mar 25, 2020
#3
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Oh, that was wrong. Somehow, it was 44,000 dollars

Mar 25, 2020