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?

15.9

Step-by-step 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 YearThis Year

Stock A68308196

Stock B26002730

Total943010926

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

15.9

%

Final 15.9%

Multiply by 100 and round to nearest 10th

5

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages