Suppose that if you purchase one share of the initial offering of sentient machines incorporated stock in the year 2010 for $30, it will be worth about $1,000,000 in 2040. what's the annual interest rate of this investment, assuming continuous compounding? round your answer to the nearest hundredth of a percent.

annual interest rate is 34.71%

Explanation:

given data

principal P = $30

amount  A = $1000000

time period t = 30 year

to find out

annual interest rate (r)

solution

we know here  continuous compounding

so continuous compounding formula is

amount = principal ×     ...........1

put here all value in equation 1

amount = principal ×

1000000 = 30 ×

take ln both side

ln 33333.333 = ln

10.4143 = 30 r

so r = 10.4143 / 30

rate = 0.3471 = 34.71%

so annual interest rate is 34.71%

none

explanation:

we're are the selections to pick from?

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.