1. **State the problem:**
Laura Collins has a mortgage balance of $104000 with an 8% annual interest rate. She makes a monthly payment of $1040. We need to find:
(a) The interest portion of the November payment.
(b) The principal portion of the payment.
(c) The new mortgage balance after the payment.
2. **Formula and explanation:**
The monthly interest is calculated by multiplying the annual interest rate by the balance and dividing by 12 (months):
$$\text{Interest} = \text{Balance} \times \frac{\text{Annual Interest Rate}}{12}$$
The principal reduction is the total payment minus the interest portion:
$$\text{Principal Reduction} = \text{Monthly Payment} - \text{Interest}$$
The new balance is the old balance minus the principal reduction:
$$\text{New Balance} = \text{Balance} - \text{Principal Reduction}$$
3. **Calculate the interest portion:**
$$\text{Interest} = 104000 \times \frac{0.08}{12} = 104000 \times 0.0066667 = 693.33$$
4. **Calculate the principal reduction:**
$$\text{Principal Reduction} = 1040 - 693.33 = 346.67$$
5. **Calculate the new balance:**
$$\text{New Balance} = 104000 - 346.67 = 103653.33$$
**Final answers:**
(a) Interest amount: $693.33
(b) Principal reduction: $346.67
(c) New balance: $103653.33
Mortgage Payment Cc0Aea
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