Question

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in company A has increased 20% since last year and the stock in company B has increased 5%. What was the total percentage increase in the investors stock account?

Answer 1

15.9

Explanation:

Find new values:

6830

(

1

+

0.2

)

=

8196

6830(1+0.2)=8196

2600

(

1

+

0.05

)

=

2730

2600(1+0.05)=2730

Last Year This Year

Stock A 6830 8196

Stock B 2600 2730

Total 9430 10926

Find overall increase:

Find overall increase:

9430

(1+r)=

10926

9430(1+r)=10926

9430

(1+r)9430=

0926

9430

9430

9430(1+r)

​

=

9430

10926

​

1

+

r

=

1.158643

1+r=1.158643

r

=

0.158643

r=0.158643

Subtract 1

Final Answer:

15.9

%

Final Answer: 15.9%

Multiply by 100 and round to nearest 10th