Aroth individual retirement account allows you to draw a fixed amount that is not taxed. the maximum amount that an individual can contribute annually to a roth ira is $5,000. determine the future value of such an account given that the annual percent rate is 1.2%, and an annual payment of $2,675.32 is made at the end of each year for 30 years. round to the nearest cent. a. $95,245.67 b. $95,340.91 c. $97,074.97 d. $95,923.88

Let P=2675.32, r=0.012.

Let's start by solving a different problem. If we deposit P at the end of year 1 and make no other deposits, how much do we have at year t?

After 1 year we have P, after 2 years P(1+r), after t years,

We need to add up n=30 of these:

That's an n term geometric series, straightforwardly summed:

Substituting,

d

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: