An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5740 and his stock in Company B was worth $3250. The stock in Company A has increased 25% since last year and the stock in Company B has increased 24%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).Answer:
Q. An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5740 and his stock in Company B was worth $3250. The stock in Company A has increased 25% since last year and the stock in Company B has increased 24%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).Answer:
Calculate Company A Stock Increase: Calculate the new value of the investor's stock in Company A after a 25\% increase.New value of Company A stock = Original value + (Original value \times Percentage increase)= $5740 + ($5740 \times 0.25)= $5740 + $1435= $7175
Calculate Company B Stock Increase: Calculate the new value of the investor's stock in Company B after a 24\% increase.New value of Company B stock = Original value + (Original value * Percentage increase)= $3250 + ($3250 * 0.24)= $3250 + $780= $4030
Calculate Total Value Last Year: Calculate the total value of the investor's stock last year.Total value last year = Value of Company A stock last year + Value of Company B stock last year= $5740 + $3250= $8990
Calculate Total Value This Year: Calculate the total value of the investor's stock this year.Total value this year = New value of Company A stock + New value of Company B stock= $7175 + $4030= $11205
Calculate Total Increase: Calculate the total increase in the investor's stock account.Total increase = Total value this year - Total value last year= $11205 - $8990= $2215
Calculate Total Percentage Increase: Calculate the total percentage increase in the investor's stock account.Total percentage increase = (Total increase/Total value last year)×100%= ($2215/$8990)×100%= 0.2463848714163×100%= 24.63848714163%Round to the nearest tenth.= 24.6%
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