An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6880 and his stock in Company B was worth $6600. The stock in Company A has decreased 10% since last year and the stock in Company B has decreased 1%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary). Answer:

Question

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth  $6880 and his stock in Company B was worth  $6600. The stock in Company A has decreased 10% since last year and the stock in Company B has decreased  1%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary). Answer:

Bytelearn · Accepted Answer

Calculate Decrease Company A: Calculate the decrease in value for the stock in Company A. Original value of Company A stock: $6880 Percentage decrease: 10% Decrease in value = Original value × Percentage decrease Decrease in value = $6880 × 0.10 Decrease in value = $688Calculate New Value Company A: Calculate the new value of the stock in Company A after the decrease. New value of Company A stock = Original value - Decrease in value New value of Company A stock = $6880 - $688 New value of Company A stock = $6192Calculate Decrease Company B: Calculate the decrease in value for the stock in Company B. Original value of Company B stock: $6600 Percentage decrease: 1% Decrease in value = Original value × Percentage decrease Decrease in value = $6600 × 0.01 Decrease in value = $66Calculate New Value Company B: Calculate the new value of the stock in Company B after the decrease. New value of Company B stock = Original value - Decrease in value New value of Company B stock = $6600 - $66 New value of Company B stock = $6534Calculate Total Original Value: Calculate the total original value of the stocks. Total original value = Value of Company A stock + Value of Company B stock Total original value = $6880 + $6600 Total original value = $13480Calculate Total New Value: Calculate the total new value of the stocks. Total new value = New value of Company A stock + New value of Company B stock Total new value = $6192 + $6534 Total new value = $12726Calculate Total Decrease: Calculate the total decrease in value of the stocks. Total decrease in value = Total original value - Total new value Total decrease in value = $13480 - $12726 Total decrease in value = $754Calculate Total Percentage Decrease: Calculate the total percentage decrease in the investor's stock account. Total percentage decrease = (Total decrease in value / Total original value) × 100% Total percentage decrease = ($754 / $13480) × 100% Total percentage decrease ≈ 5.59%

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