Janette Savings E1E556
1. **State the problem:** Janette receives a monthly allowance and income, has monthly expenses, and wants to know how much she can save in 8 months and the future value of that saving after 5 years with interest.
2. **Calculate monthly income:**
Monthly allowance = 340
Monthly job income = 600
Total monthly income = $340 + $600 = $940
3. **Calculate monthly expenses:**
Rent = 200
Car insurance = 75
Clothes = 80
Personal care = 50
Entertainment = 100
Eating out = 140
Other spending = 100
Total monthly expenses = $200 + $75 + $80 + $50 + $100 + $140 + $100 = $745
4. **Calculate monthly savings:**
Monthly savings = Total income - Total expenses = $940 - $745 = $195
5. **Calculate total savings in 8 months:**
Total savings = Monthly savings × 8 = $195 × 8 = $1560
6. **Calculate future value of savings after 5 years:**
Interest rate = 4.75% per year compounded annually
Principal $P = 1560$
Rate $r = 0.0475$
Time $t = 5$ years
Future value formula: $$FV = P(1 + r)^t$$
Substitute values:
$$FV = 1560(1 + 0.0475)^5 = 1560(1.0475)^5$$
7. **Calculate $(1.0475)^5$:**
$$1.0475^5 \approx 1.2597$$
8. **Calculate future value:**
$$FV = 1560 \times 1.2597 \approx 1965$$
9. **Final answers:**
- Amount Janette can put aside in 8 months: $1560$
- Balance of the account after 5 years: $1965$
Janette can save 1560 in 8 months and after 5 years with interest, the balance will be approximately 1965.