Step 2 |
Dengan trial & eror, masukkan jawaban opsi A sampai E kedalam (*)
- Dengan x = 6,75%
\(92 = \left( {100x – 1} \right)\left( {\frac{{1 – {{(1 + x)}^{ – 15}}}}{x}} \right) + 100{\left( {1 + x} \right)^{ – 15}}\)
\(92 = \left( {100 \cdot 0,0675 – 1} \right)\left( {\frac{{1 – {{(1,0675)}^{ – 15}}}}{{0,0675}}} \right) + 100{\left( {1,0675} \right)^{ – 15}}\)
\(92 = \left( {5,75} \right)\left( {9,253493707} \right) + 37,53892\)
\(92 \ne 90,7465\)
- Dengan x = 7,87%
\(92 = \left( {100x – 1} \right)\left( {\frac{{1 – {{(1 + x)}^{ – 15}}}}{x}} \right) + 100{\left( {1 + x} \right)^{ – 15}}\)
\(92 = \left( {100 \cdot 0,0787 – 1} \right)\left( {\frac{{1 – {{(1,0787)}^{ – 15}}}}{{0,0787}}} \right) + 100{\left( {1,0787} \right)^{ – 15}}\)
\(92 = 6,87\left( {8,627843} \right) + 32,09888\)
\(92 \ne 91,37216\)
- Dengan x = 8,23%
\(92 = \left( {100x – 1} \right)\left( {\frac{{1 – {{(1 + x)}^{ – 15}}}}{x}} \right) + 100{\left( {1 + x} \right)^{ – 15}}\)
\(92 = \left( {100 \cdot 0,0823 – 1} \right)\left( {\frac{{1 – {{(1,0823)}^{ – 15}}}}{{0,0823}}} \right) + 100{\left( {1,0823} \right)^{ – 15}}\)
\(92 = 7,23\left( {8,4405711} \right) + 30,5341\)
\(92 \ne 91,5594\)
- Dengan x = 8,87%
\(92 = \left( {100x – 1} \right)\left( {\frac{{1 – {{(1 + x)}^{ – 15}}}}{x}} \right) + 100{\left( {1 + x} \right)^{ – 15}}\)
\(92 = \left( {100 \cdot 0,0887 – 1} \right)\left( {\frac{{1 – {{(1,0887)}^{ – 15}}}}{{0,0887}}} \right) + 100{\left( {1,0887} \right)^{ – 15}}\)
\(92 = 7,87\left( {8,1229235} \right) + 27,9497\)
\(92 \ne 91,877\)
- Dengan x = 9,13%
\(92 = \left( {100x – 1} \right)\left( {\frac{{1 – {{(1 + x)}^{ – 15}}}}{x}} \right) + 100{\left( {1 + x} \right)^{ – 15}}\)
\(92 = \left( {100 \cdot 0,0913 – 1} \right)\left( {\frac{{1 – {{(1,0913)}^{ – 15}}}}{{0,0913}}} \right) + 100{\left( {1,0913} \right)^{ – 15}}\)
\(92 = \left( {8,13} \right)\left( {7,999199} \right) + 26,9673\)
\(92 = 92,0007878\)
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