Heather has divided $6700 between two investments, one paying 8%, the other paying 5%. If the return on her investment is $428, how much does she have in each investment?

First investment = $3100

Other investment =  $3600

Step-by-step explanation:

Total investment made by Henry = $6700

Let one investment be x,

Then other investment = total investment - first investment = 6700 - x

A) For 8% interest, investment = x

dollar value of 8% investment = 8/100*x= 8x/100

A) For 5% interest, investment = 6700- x

dollar value of 8% investment = 5/100*(6700- x)= 5(6700- x)/100

Total return on both the investment =  8x/100 + 5(6700- x)/100

  = (8x +33500 - 5x)/100 = (3x+33500)/100

Given that total return = 428

Therefore,

(3x+33500)/100 = 428

=>  3x+33500 = 428*100 = 42800

=> 3x = 42800- 33500 = 9300

=> x = 9300/3 = 3100

Thus, first investment = x = $3100

other investment =  $(6700 - 3100) = $3600

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:

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice