MAT 111A - College Algebra

Added on - 03 Mar 2020

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Algebra1|P a g eMathematics
AlgebraContentsSolution-1).......................................................................................................................................3Solution-2).......................................................................................................................................4Solution-3).......................................................................................................................................5Solution-3a).................................................................................................................................5Solution-3b).................................................................................................................................6Solution-3c).................................................................................................................................6Solution-3d).................................................................................................................................7Solution-4).......................................................................................................................................7Solution-4a).................................................................................................................................7Solution-4b).................................................................................................................................8Solution-4c).................................................................................................................................8Solution-4d).................................................................................................................................8Solution-4e).................................................................................................................................9Solution-5).......................................................................................................................................9Solution-6).......................................................................................................................................9Solution-7).....................................................................................................................................10Solution-8).....................................................................................................................................11Solution-8a)...............................................................................................................................11Solution-8b)...............................................................................................................................11Solution-9).....................................................................................................................................13Solution-10)...................................................................................................................................13Solution-11)...................................................................................................................................14Solution-11a).............................................................................................................................14Solution-11b).............................................................................................................................14Solution-12)...................................................................................................................................14Solution-12a).............................................................................................................................14Solution-12b).............................................................................................................................15Solution-13)...................................................................................................................................15Solution-14)...................................................................................................................................16Solution-15)...................................................................................................................................162|P a g e
AlgebraSolution-15a).............................................................................................................................16Solution-15b).............................................................................................................................16Solution-16)...................................................................................................................................17Solution-17)...................................................................................................................................18Solution-17a).............................................................................................................................18Solution-17b).............................................................................................................................18Solution-17c).............................................................................................................................18Solution-17d).............................................................................................................................18Solution-17e).............................................................................................................................18Solution-17f)..............................................................................................................................19Solution-18)...................................................................................................................................19Solution-19)...................................................................................................................................20Solution-20)...................................................................................................................................21References......................................................................................................................................213|P a g e
AlgebraSolution-1)As given in question,h(x)=(12)xThe coordinate in x axis for given problem is given in graph, for x axis it is (-5, -4, -3. -1, 0, 1, 2,3, 4, 5), we have to put the value of x in equation calculated the h(x), as result in the table isgiven below.xh(x)-532-416-38-24-120110.520.2530.12540.062550.03125The graph for the above data will as follows4|P a g e-6-4-2024605101520253035x vs h(x)
AlgebraSolution-2)The calculated table for h(x) and g(x) is given below, the graph,xh(x)g(x)-53265-41633-3817-249-12501310.5220.251.530.1251.2540.06251.12550.031251.0625The graph for the above data will as follows-6-4-20246010203040506070x vs h(x) and g(x)h(x)g(x)5|P a g e
AlgebraSolution-3)As given in question,The accumulated value of investment can be given by the formulaA=P(1+rn)nt..........(i)Solution-3a)Where P = Principal,r = rate per annum,n = is compounding period for semi-annually = 2, Putting the other value in equation, we getA=10000(1+0.0552)5x2A=10000(1.311651)=13116.51The total value for semi-annually compounded is = $ 13116.51Solution-3b)For compounded quarterly the value of n will be =4, Putting thenP = 10000,r = 0.055,n = 4, and t = 5Putting the value in above equationA=10000(1+0.0554)5x4A=10000(1.314067)=13140.67For quarterly compounded is approximately $ 13140.676|P a g e
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