Find and compare the future value after two years of a attracting interest at a rate of 10% compounded a) annually and b) semi annually. deposit of $100

a) $121.00  

b) $121.55

Step-by-step explanation:

We use the formula of Future Value

a) Future value of a deposit of $100 with an interest rate of 10% compounded annually

PV=100

i=10%

n= 2 years

b) Future value of a deposit of $100 with an interest rate of 10% compounded semiannually

PV=100

i=10%/2=5% (When compounding semiannually, the rate is divided by the number of semesters in a year, in this case 2)

n= 4 semesters

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.