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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $7200 and his stock in Company B was worth $3510. The stock in Company A has decreased 24% since last year and the stock in Company B has decreased 20%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary)

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lucic

Answer:

22.7%

Explanation:

Given that last year stock for company A was $7200

The stock for company B last year was worth $3510

Stock in company A decreased by 24%

This means the new value of stock for company A became;

(100-24)/100 *$7200

76/100*$7200

0.76*7200 =$5472

Stock in company B decreased by 20%

This means the new value of stock for company B became;

(100-20)/100 *$3510

80/100*$3510

0.8*$3510

$2808

Original investors stock value was = $7200+$3510 =$10710

New investors stock value is = $5472+$2808=$8280

Decrease in value of stock = $10710-$8280 =$2430

percentage decrease in stock value = decrease in stock/original value of stock *100%

=2430/10710 *100 =22.689

=22.7%

Answer:

11.6

Explanation:

Find new values:

5600 (1+ 0.2 )= 6720

7080 (1+ 0.05)= 7434

Stock A (last year)    Stock B( Last year)      Total

     5600                         7080                         12680

Stock A(this year)      Stock B(This year)    Total

     6720                          7434                         14154

Final overall increase:

12680(1+r)=14154       12680(1+r)/12680=   14154/12680

1+r = 1.116246                                  

SUBTRACT 1          r=0.116246

MULTIPLY BY 100 AND ROUND TO THE NEAREST 10TH

Final Answer: 11.6%

hope this helped :)

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