do the same calculation on $30000

To calculate the monthly payments for a loan amount of $30,000 at a 10% interest rate for terms of 60 and 72 months, we can again use the loan payment formula:

[ M = P \times \frac{r(1+r)^n}{(1+r)^n - 1} ]

Where:

  • ( M ) = monthly payment
  • ( P ) = loan amount ($30,000 in this case)
  • ( r ) = monthly interest rate (annual rate / 12)
  • ( n ) = number of payments (loan term in months)

Given Information

  • Loan Amount (( P )): $30,000
  • Annual Interest Rate: 10% or 0.10
  • Monthly Interest Rate (( r )): ( \frac{0.10}{12} = 0.0083333 )

Calculations:

For 60 Months (5 Years):

[ M = 30000 \times \frac{0.0083333(1 + 0.0083333)^{60}}{(1 + 0.0083333)^{60} - 1} ] Calculating gives: [ M \approx 638.14 ]

For 72 Months (6 Years):

[ M = 30000 \times \frac{0.0083333(1 + 0.0083333)^{72}}{(1 + 0.0083333)^{72} - 1} ] Calculating gives: [ M \approx 501.57 ]

Summary of Monthly Payments for $30,000:

  • 60 Months: $638.14
  • 72 Months: $501.57

These are the estimated monthly payments for a $30,000 personal loan at a 10% interest rate over terms of 60 and 72 months. If you need further assistance or additional calculations, let me know!

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