Hilda is taking out an $11,000 personal loan that she will repay in 5 years. If she receives a 10% interest rate, her monthly payments will be $233.72. If she receives and 18% interest rate her monthly payments will be $279.33. How much less interest will Hilda pay if she qualifies for the lower interest rate? *

Hilda would pay $ 2,736.60   less interest

Step-by-step explanation:

The total interest payment is the total repayments for 5 years less the initial loan amount

If the interest rate is 10% Hilda repays $233.72  for 5 years multiplied by 12 months:

total repayment=$233.72*5*12=$ 14,023.20  

Interest =$14,023.20-$11,000.00=$3.023.20

If the interest rate is 18% Hilda repays $279.33 for 5 years multiplied by 12 months:

total repayment=$279.33*5*12=$ 16,759.80  

Interest =$16,759.80  -$11,000.00=$5759.8

Difference in interest payments=$5759.8 0-3.023.20=$ 2,736.60  

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )