Find the  total payments if the loan is $175,000  compounded at 6.24% for 30 years?Group of answer choices$387,493.20$399,499.99$337,792.19$391252.46

To find the total payments for a loan, we can use the formula for the total payment of a loan, which is:

Total Payment = P * (r(1 + r)^n) / ((1 + r)^n - 1)

where: P = principal amount (the loan amount) r = monthly interest rate n = number of payments (months)

Given: P = $175,000 Annual interest rate = 6.24% (But we need the monthly interest rate, so we divide by 12. Also, we need to convert the percentage to a decimal, so we divide by 100) r = 6.24/(12100) = 0.0052 n = 30 years (But we need this in months, so we multiply by 12) n = 3012 = 360 months

Substituting these values into the formula:

Total Payment = 175000 * (0.0052(1 + 0.0052)^360) / ((1 + 0.0052)^360 - 1)

Calculating this gives us a monthly payment of approximately $1079.19.

To find the total payments over 30 years, we multiply the monthly payment by the number of months:

Total Payment = $1079.19 * 360 =$388,908.40

So, the total payment over 30 years would be approximately $388,908.40. This option is not given in your choices. Please check the values or the options again.

To find the total payments for a loan, we can use the formula for the total payment of a loan, which is:

Total Payment = P * (r(1 + r)^n) / ((1 + r)^n - 1)

Where: P = Principal amount (the loan amount) r = Monthly interest rate (annual rate / 12) n = Total number of payments (years * 12)

Given: P = $175,000 Annual interest rate = 6.24% = 0.0624 (in decimal) Years = 30

Let's calculate:

Step 1: Convert the annual rate to a monthly rate: r = 0.0624 / 12 = 0.0052

Step 2: Convert the years to total number of payments: n = 30 * 12 = 360

Step 3: Substitute these values into the formula:

Total Payment = 175000 * (0.0052(1 + 0.0052)^360) / ((1 + 0.0052)^360 - 1)

After calculating the above expression, you will get the monthly payment.

Step 4: To find the total payments over 30 years, multiply the monthly payment by the total number of payments (360).

Total Payments = Monthly Payment * 360

This will give you the total payments made over the course of 30 years.

Please note that the exact answer will depend on the exact calculation and rounding.