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 
$7000 and his stock in Company B was worth 
$3750. The stock in Company A has increased 
2% since last year and the stock in Company B has increased 
4%. 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 $7000 \$ 7000 and his stock in Company B was worth $3750 \$ 3750 . The stock in Company A has increased 2% 2 \% since last year and the stock in Company B has increased 4% 4 \% . 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 $7000 \$ 7000 and his stock in Company B was worth $3750 \$ 3750 . The stock in Company A has increased 2% 2 \% since last year and the stock in Company B has increased 4% 4 \% . 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 22\% increase.\newlineOriginal value of Company A stock: $7000\$7000\newlinePercentage increase: 2%2\%\newlineNew value = Original value + (Original value \times Percentage increase)\newlineNew value = $7000\$7000 + ($7000\$7000 \times 00.0202)\newlineNew value = $7000\$7000 + $140\$140\newlineNew value = $7140\$7140
  2. Calculate Company B Stock Increase: Calculate the new value of the investor's stock in Company B after a 44\% increase.\newlineOriginal value of Company B stock: $3750\$3750\newlinePercentage increase: 4%4\%\newlineNew value = Original value + (Original value \times Percentage increase)\newlineNew value = $3750\$3750 + ($3750\$3750 \times 00.0404)\newlineNew value = $3750\$3750 + $150\$150\newlineNew value = $3900\$3900
  3. Calculate Total Stock 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\newlineTotal value last year = $7000\$7000 + $3750\$3750\newlineTotal value last year = $10750\$10750
  4. Calculate Total Stock 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\newlineTotal value this year = $7140\$7140 + $3900\$3900\newlineTotal value this year = $11040\$11040
  5. Calculate Total Stock Increase: Calculate the total increase in the investor's stock account.\newlineTotal increase = Total value this year - Total value last year\newlineTotal increase = $11040\$11040 - $10750\$10750\newlineTotal increase = $290\$290
  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\%\newlineTotal percentage increase = ($290/$10750)×100%(\$290 / \$10750) \times 100\%\newlineTotal percentage increase \approx 22.77\%