Suppose Shelly needs to have $40,000 at the end of six years to open a cookie shop. She invests in an annu pays 8% interest, compounded semiannually. How much does she have to invest each compounding period
her goal?

Step-by-step explanation:

40,000= x (1+ .04)^12

the future value of the account =40,000

the amount invested at the end of each period =x because we do not know

the interest rate per period = 0.04 because 8% compounded semiannually is 4% per 6 months or written as decimals 0.04

(1+.04) because you gain interest so you add to the 100% of your money 4%

the number of periods = 12 because in 6 years we have twelve 6 months periods

x= $24,983.88

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: procent 54 wynosi 33,33%