[] The mathematical modeling of interest compoundedannually if given amount of money to be double ifproportionat vate is *% per year Annum Compoundedthen we need time is0++|+=2In (1+r)Ln (2)Lh (1)+V2n (2)/+Y2n (2)Ln(1+r)(n (2)2m/+r

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the exponential function f(x)=a* whose graph is given as: y 6 4 (-1, 3) -2 -1 1 2 f(x)=| (b) f(x)=D (c) f(x)=3* (d) f(x)=2" (a) 8. 2.
evaluate the exponential function for the indicated value of x a) h(x)=-1/2(1/2)^x +6 for x=-7 b) g(x)= 1/6(5)^x-1 for x=5
Using 100000 ( 1 + 2.1/100 )^ 18 DOES NOT WORK! Please show your work on how you got the answer and make work readable.
A2 (II)An investment of I grew to a value of £1648.72 after 10 years with continuous compounding at the rate of 5%. Find I.
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
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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

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[2] The mathematical modeling of interest compounded amou count of money to be double if *% per year Annum Compounded proportional rate is then we need time is 0 + +- 2 In (1+r) Ln (2) Lh (1)+V 2n (2) /+V 2n (2) Ln(1+r) (n (2) 2m/+r