Kira and her husband are each starting a saving plan. kira will initially set aside $650 and then add $145 every month to the savings. the amount a (in dollars) saved this way is given by the function a=145n+650, where n is the number of months she has been saving.
her husband will not set an initial amount aside but will add $495 to the savings every month. the amount b (in dollars) saved using this plan is given by the function b=495n.

let t be total amount (in dollars) saved using both plans combined. write an equation relating t to n. simplify your answer as much as possible.

The equation relating T to N is T = 640N + 650

Solution:

Given, Kira and her husband are each starting a saving plan.  

Kira will initially set aside $650 and then add $145 every month to the savings.  

The amount A (in dollars) saved this way is given by the function A = 145N+650

where N is the number of months she has been saving.  

Her husband will not set an initial amount aside but will add $495 to the savings every month.

The amount B (in dollars) by Husband B = 495N

Let T be total amount (in dollars) saved using both plans combined.  

Now, we know that,

Total savings = amount save by kira + amount saved by her husband

T = A + B

T = 145N + 650 + 495N

T = 640N + 650

Hence, the equation is T = 640N + 650

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! )