A principal of $7000 is invested in an account paying an annual rate of 4%. Find the amount in the account after 4 years if the account is compounded semiannually. quarterly, and monthly
(a) The amount in the account after 4 years if the account is compounded semiannually is $0.
(Round to the nearest cent.)

A=P{1+r/n}^nt. A is the end value, P the start. r is the rate, divided by n, the number of compoundings per year. t is the number of years.

semiannual is 2 compoundings

A=7000{1+(0.055/2)}^6, the 6 from 2 compoundings a year for 3 years. Do the parentheses first, so that you have 1.0.0257^6. When you get that, multiply by $7000. Round at the end, not intermediate steps.

A=$8237.38

A=7000{1+(.055/4)}^12=$8246.48. Notice that what is in the parentheses gets smaller, but it gets raised to a higher power.

A=7000{1+(0.055/12)}^36=$8252.64

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.