SREL-Bepaal R#1

SREL-Bepaal R#1

by Marna Zuhlsdorff -
Number of replies: 0
R1239 word vir 5 jaar teen 13% saamgstelde rente belê word.
a)   Bepaal die bedrag rente uit eerstebeginsels.
b)   Bevestig jou antwoord met 'n korter bewerking
(Rond jou antwoord tot 2 desimale af)
a)

begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell A subscript 1 end cell equals ? row cell P subscript 1 end cell equals 1239 row i equals cell 13 over 100 equals 0.13 end cell row n equals 1 row cell R subscript 1 end cell equals ? row blank blank blank row cell A subscript 1 end cell equals cell P subscript 1 open parentheses 1 plus i close parentheses to the power of n end cell row blank equals cell 1239 open parentheses 1 plus 0.013 close parentheses to the power of 1 end cell row blank equals cell 1400.07 end cell row blank blank blank row R equals cell A minus P end cell row blank equals cell 1400.07 minus 1239 end cell row blank equals cell 161.07 end cell end table end style

begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell A subscript 2 end cell equals ? row cell P subscript 2 end cell equals cell P subscript 1 equals 1400.07 end cell row i equals cell 13 over 100 equals 0.13 end cell row n equals 1 row cell R subscript 2 end cell equals ? row blank blank blank row cell A subscript 2 end cell equals cell P subscript 2 left parenthesis 1 plus i right parenthesis to the power of n space end cell row blank equals cell 1400.07 left parenthesis 1 plus 0.013 right parenthesis to the power of 1 space end cell row blank equals cell 1582.0791 space end cell row blank equals cell 1582.08 end cell row blank blank blank row cell R subscript 2 end cell equals cell A minus P end cell row blank equals cell 1582.08 minus 1400.07 end cell row blank equals cell 182.01 end cell end table end style

begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell A subscript 3 end cell equals ? row cell P subscript 3 end cell equals cell P subscript 2 equals 1582.0791 end cell row i equals cell 13 over 100 equals 0.13 end cell row n equals 1 row cell R subscript 3 end cell equals ? row blank blank blank row cell A subscript 3 end cell equals cell P subscript 3 left parenthesis 1 plus i right parenthesis to the power of n end cell row blank equals cell 1582.0791 left parenthesis 1 plus 0.013 right parenthesis to the power of 1 end cell row blank equals cell 1787.749 end cell row blank equals cell 1787.75 end cell row blank blank blank row cell R subscript 3 end cell equals cell A minus P end cell row blank equals cell 1787.75 minus 1582.08 end cell row blank equals cell 205.67 end cell end table end style

begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell A subscript 4 end cell equals ? row cell P subscript 4 end cell equals cell P subscript 3 equals 1787.749 end cell row i equals cell 13 over 100 equals 0.13 end cell row n equals 1 row cell R subscript 4 end cell equals ? row blank blank blank row cell A subscript 4 end cell equals cell P subscript 4 left parenthesis 1 plus i right parenthesis to the power of n end cell row blank equals cell 1787.749 left parenthesis 1 plus 0.013 right parenthesis to the power of 1 end cell row blank equals cell 2020.1568 end cell row blank equals cell 2020.16 end cell row blank blank blank row cell R subscript 4 end cell equals cell A minus P end cell row blank equals cell 2020.16 minus 1787.75 end cell row blank equals cell 232.41 end cell end table end style

begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell A subscript 5 end cell equals ? row cell space P subscript 5 subscript blank end cell equals cell P subscript 4 subscript blank equals 2020.1568 end cell row i equals cell 13 over 100 equals 0.13 end cell row cell space n end cell equals cell 1 space end cell row cell R subscript 5 end cell equals ? row blank blank blank row cell A subscript 5 end cell equals cell P subscript 5 left parenthesis 1 plus i right parenthesis to the power of n space end cell row blank equals cell 2020.1568 left parenthesis 1 plus 0.013 right parenthesis to the power of 1 space end cell row blank equals cell 2282.78 end cell row blank blank blank row cell R subscript 5 end cell equals cell A minus P space end cell row blank equals cell 2282.78 minus 2020.16 end cell row blank equals cell 262.62 end cell end table end style

begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row R equals cell R subscript 1 plus R subscript 2 plus R subscript 3 plus R subscript 4 plus R subscript 5 end cell row blank equals cell 161.07 end cell row blank blank cell plus 182.01 end cell row blank blank cell plus 205.67 end cell row blank blank cell plus 232.41 end cell row blank blank cell plus 262.62 end cell row blank equals cell 1043.78 end cell end table end style



b)

A equals ? P equals 1239 n equals 5 i equals 13 over 100 equals 0.13 R equals ?

table attributes columnalign right center left columnspacing 0px end attributes row A equals cell P open parentheses 1 plus i close parentheses to the power of n end cell row blank equals cell 1239 open parentheses 1 plus 0.013 close parentheses to the power of 5 end cell row blank equals cell 2282.777 end cell row blank equals cell 2282.78 end cell row blank blank blank row R equals cell A minus P end cell row blank equals cell 2282.78 minus 1239 end cell row blank equals cell 1043.78 end cell end table