An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $1600 and his stock in Company B was worth $1750. The stock in Company A has decreased 22% since last year and the stock in Company B has decreased 14%. 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  $1600 and his stock in Company B was worth  $1750. The stock in Company A has decreased 22% since last year and the stock in Company B has decreased  14%. 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 Stock Value Company A: Calculate the new value of the investor's stock in Company A after a 22% decrease. Original value of stock in Company A: $1600 Percentage decrease: 22% Decrease in value: $1600 * (22/100) = $352 New value of stock in Company A: $1600 - $352 = $1248Calculate Stock Value Company B: Calculate the new value of the investor's stock in Company B after a 14% decrease. Original value of stock in Company B: $1750 Percentage decrease: 14% Decrease in value: $1750 * (14/100) = $245 New value of stock in Company B: $1750 - $245 = $1505Calculate Total Original Value: Calculate the total original value of the investor's stock account. Total original value = Value of stock in Company A + Value of stock in Company B Total original value = $1600 + $1750 = $3350Calculate Total New Value: Calculate the total new value of the investor's stock account. Total new value = New value of stock in Company A + New value of stock in Company B Total new value = $1248 + $1505 = $2753Calculate Total Decrease: Calculate the total decrease in value of the investor's stock account. Total decrease = Total original value - Total new value Total decrease = $3350 - $2753 = $597Calculate Total Percentage Decrease: Calculate the total percentage decrease in the investor's stock account. Total percentage decrease = (Total decrease / Total original value) * 100% Total percentage decrease = ($597 / $3350) * 100% Total percentage decrease ≈ 17.8%

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