1. The pdf of the future lifetime, T, for (x) is assumed to be;0

Given the pdf of the future lifetime, T, for (x) : fTt=160 ; 0≤t≤90 0 ; elsewhere and the…

Answered: 1. The pdf of the future lifetime, T,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The function I (t) = - 0.2t3 + 3t2 +100 for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0 corresponds to the beginning of 2014. Calculate the inflation rate at the end of 2024.
A savings account with an interest rate r, which is compounded n times per year, and begins with P as the principal (initial amount), has the discrete nt compounding formula A (t) = P(1+)". This is n because we multiply the amount by itself plus a small amount, determined by the interest rate, and the account grows each time the compounding occurs. For continuous compounding, we use the formula A (t) = Pert , and if we have seen this formula before, we may not have gotten a satisfactory answer as to why we use it, other than some vague notion of "compounding infinity times per year". In this exercise, we'll use Bernoulli's Rule to find the connection. It might be helpful to review the "Indeterminate Powers" section of the video before beginning. Why can we write nt lim,→00 P(1+ )"t P limn¬∞ (1+)™ ? n
A client’s orders are growing consistently at x% per year. A) If three years from now orders are 50% higher than today, what is the annual growth rate (x)? B) Write an expression (in terms of x) for how many years it will take until orders are double what they are currently
If you deposit A which yields returns of B at the end of each of the first n years then establish the mathe-matical equation to calculate the rate of return, r, from this investment.A = R10000, B=R2000, n=7
The function I (t) = - 0.2t3 + 3t2 +100 for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0 corresponds to the beginning of 2014. Calculate the inflation rate at the end of 2024.

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1. The pdf of the future lifetime, T, for (x) is assumed to be 0