Mathematics, 27.01.2021 17:30 eddyreynoso5025
Lee opened a savings account paying compound interest.
The amount, £A, in the account t years after he first opened it is given by
A= 1500 x 1.04t.
Lee decides to close his account when he has doubled his original amount of money.
At the end of how many years does he close the account?
Answers: 2
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In a two-digit number the units' digit is 7 more than the tens' digit. the number with digits reversed is three times as large as the sum of the original number and the two digits. find the number.
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Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.
Answers: 1
Lee opened a savings account paying compound interest.
The amount, £A, in the account t years after...
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