Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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:

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5740 \$ 5740 and his stock in Company B was worth $3250 \$ 3250 . The stock in Company A has increased 25%25\% since last year and the stock in Company B has increased 24% 24 \% . What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).\newlineAnswer:

Full solution

Q. An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5740 \$ 5740 and his stock in Company B was worth $3250 \$ 3250 . The stock in Company A has increased 25%25\% since last year and the stock in Company B has increased 24% 24 \% . What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).\newlineAnswer:
  1. Calculate Company A Stock Increase: Calculate the new value of the investor's stock in Company A after a 2525\% increase.\newlineNew value of Company A stock = Original value + (Original value \times Percentage increase)\newline= $5740\$5740 + ($5740\$5740 \times 00.2525)\newline= $5740\$5740 + $1435\$1435\newline= $7175\$7175
  2. Calculate Company B Stock Increase: Calculate the new value of the investor's stock in Company B after a 2424\% increase.\newlineNew value of Company B stock = Original value + (Original value * Percentage increase)\newline= $3250\$3250 + ($3250\$3250 * 00.2424)\newline= $3250\$3250 + $780\$780\newline= $4030\$4030
  3. Calculate Total Value Last Year: Calculate the total value of the investor's stock last year.\newlineTotal value last year = Value of Company A stock last year + Value of Company B stock last year\newline= $5740\$5740 + $3250\$3250\newline= $8990\$8990
  4. Calculate Total Value This Year: Calculate the total value of the investor's stock this year.\newlineTotal value this year = New value of Company A stock + New value of Company B stock\newline= $7175\$7175 + $4030\$4030\newline= $11205\$11205
  5. Calculate Total Increase: Calculate the total increase in the investor's stock account.\newlineTotal increase = Total value this year - Total value last year\newline= $11205\$11205 - $8990\$8990\newline= $2215\$2215
  6. Calculate Total Percentage Increase: Calculate the total percentage increase in the investor's stock account.\newlineTotal percentage increase = (Total increase/Total value last year)×100%(\text{Total increase} / \text{Total value last year}) \times 100\%\newline= ($2215/$8990)×100%(\$2215 / \$8990) \times 100\%\newline= 0.2463848714163×100%0.2463848714163 \times 100\%\newline= 24.63848714163%24.63848714163\%\newlineRound to the nearest tenth.\newline= 24.6%24.6\%