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Chrome File Edit View History Bookmarks People Window Help O B A 32% D Sun Oct 1

ID: 2876890 • Letter: C

Question

Chrome File Edit View History Bookmarks People Window Help O B A 32% D Sun Oct 16 22:23 a E x C Chegg Study I Guided solution x 265Camelback Road b s h x eG 2008 Nissan Altima Coupe 2.5 x e Math 192. Homework section Search Results yutaka www.webassign.net/web/Student/Assignment-Responses/submit?dep 14263649 P MyLab & Mastering... Craigslist The Dare TV Apple Apps Desire2L. Home ite WebAssig Rate My Professors. autos Diablo Valley Colle SparkNotes Mobile. 10. 218 points I Previous Answers SCalcET8 38.021 My Notes Ask You (a) If $3000 is invested at 4% interest, find the value of the investment at the end of 9 years if the interest is compounded as follows. (Round your answers to the nearest cent.) (i) annually 4268 (ii) semiannually 3585.4 (iii) monthly 4297.4 (iv) weekly 4299.4 (v) daily 4299.05 X (vi) continuously (b) If A(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation satisfied by A(t). dA dt Find the initial condition satisfied by A(t). A(0) Need Help? Read it Talk to a Tutor Submit Answer Save Progress Practice Another Version 11. 4/4 points I Previous Answers SCalcET8 38.504 XP My Notes Ask Your Bismuth-210 has a half-life of 5.0 days

Explanation / Answer

10)

a)P=3000,r=4%=0.04, t=9

A=P(1+(r/n))nt

i)annually => n=1

A=3000(1+(0.04))1*9

A=4269.94 dollars

ii)semiannually => n=2

A=3000(1+(0.04/2))2*9

A=4284.74 dollars

iii)monthly =>n=12

A=3000(1+(0.04/12))12*9

A=4297.41 dollars

iv)weekly =>n=52

A=3000(1+(0.04/52))52*9

A=4299.39 dollars

v)daily =>n=365

A=3000(1+(0.04/365))365*9

A=4299.09

v')continously

A=Pert

A=3000*e0.04*9

A=4299.99 dollars

b)dA/dt =0.04*A(t)

A(0)=3000

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