Suppose you invest $200 a month for 7 years into an account earning 9% compounded monthly. after 7 years, you leave the money, without making additional deposits, in the account for another 22 years. how much will you have in the end?

$172,806.37.

Step-by-step explanation:

Total = [ P(1+r/n)^(nt) ] + [ PMT × (((1 + r/n)^(nt) - 1) / (r/n)) ] * (1 + r/n)

is the formula  for the amount left after the first 7 years where the money is deposited at the beginning of each month and P = initial amount,  PMT = monthly payment, r = rate as a decimal and t = time in years.

Total after the first 7 years

=  [ 200(1+0.09/12)^(7*12) ] + [ 200 × (((1 + 009/12)^(7*12) - 1) / (0/09/12) ] * (1 + 0.09/12)

= 374.64 +  (200 * 0.8732019633) / (0.09/12) * (1 + 0.09/12)

= 374.64 + 23485.386 * 1.0075

= $24.036.17

Total after a further 22 years:-

=  24.036.17(1 + 0.09/12)^(12*22)

=  $172,806.37 (answer).

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !