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A consumer loan worth P80,000 is to be repaid in 12 months at 8% convertible
monthly. How much is the monthly payment?




Sagot :

Answer:

[tex]\huge \red{\overline{ \qquad \qquad \qquad \qquad \qquad}}[/tex]

A consumer loan worth P80,000 is to be repaid in 12 months at 8% convertible monthly. How much is the monthly payment?

[tex] \sf{ \underline{Solution:}}[/tex]

[tex] \sf{Given:}[/tex]

[tex]P=P80,000 \: \: {i}^{(n)} = 0.08 \: \: j = \frac{{j}^{12} }{12} \\

= \frac{0.8}{12} = 0.0067 \: \: n = 12[/tex]

[tex] \sf{Find:}[/tex]

The regular payment R

[tex]R = \large \frac{ \frac{P}{1 -(1 + j) ^{ - n} } }{j} = \frac{ \frac{{P80,000}}{1 - (1 + 0.0067) ^{ - 12} } }{ 0.0067} = \small{6,961.04}[/tex]

The monthly payment is [tex] {\green{ \underline \red {6,961.04}}}[/tex]

[tex]\huge \red{\overline{ \qquad \qquad \qquad \qquad \qquad}}[/tex]

Step-by-step explanation:

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