Mortgage Payment
1. **State the problem:**
Susan Anderson has a mortgage balance of $321,000 on April 1 with an interest rate of 6.2% annually. She makes a monthly payment of $2568. We need to find:
(a) Interest portion of the payment
(b) Principal reduction portion
(c) New balance after payment
2. **Formula for monthly interest:**
The monthly interest is calculated by multiplying the principal balance by the monthly interest rate.
Monthly interest rate = $\frac{6.2}{100} \div 12 = 0.0051667$
Interest amount = Principal $\times$ Monthly interest rate
3. **Calculate interest amount:**
Interest = $321000 \times 0.0051667 = 1658.33$
4. **Calculate principal reduction:**
Principal reduction = Total monthly payment $-$ Interest amount
Principal reduction = $2568 - 1658.33 = 909.67$
5. **Calculate new balance:**
New balance = Previous balance $-$ Principal reduction
New balance = $321000 - 909.67 = 320090.33$
**Final answers:**
(a) Interest amount: $1658.33$
(b) Principal reduction: $909.67$
(c) New balance: $320090.33$