Question

An investor has an account with stock from two different companies. Last year, her

stock in Company A was worth $800 and her stock in Company B was worth $6180.
The stock in Company A has decreased 1% since last year and the stock in Company B
has decreased 5%. What was the total percentage decrease in the investor's stock
account? Round your answer to the nearest tenth (if necessary).

Answer 1

4.5%

Explanation:

800(1-0.01)=\color{green}{792}

800(1−0.01)=792

6180(1-0.05)=\color{blue}{5871}

6180(1−0.05)=5871

Last Year This Year

Stock A 800 792

Stock B 6180 5871

Total 6980 6663

\text{Find overall decrease:}

Find overall decrease:

6980(1-r)=6663

6980(1−r)=6663

\frac{6980(1-r)}{6980}=\frac{6663}{6980}

6980

6980(1−r)

​

=

6980

6663

​

1-r=0.954585

1−r=0.954585

-r=-0.045415

−r=−0.045415

Subtract 1

r=0.045415

r=0.045415

Divide by -1

\text{Final Answer: }4.5\%

Final Answer: 4.5%

Multiply by 100 and round to nearest 10th