Subjects personal finance

Budget Calculation 54Daaa

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1. **State the problem:** Jo earns 3850 per month and a bonus of 12% of her annual wage. We need to fill in missing monthly and annual costs, calculate total annual costs, leftover money for holiday, and the impact of increased misc. expenses plus phone cost. 2. **Calculate missing monthly costs from weekly costs:** - There are 52 weeks in a year, so monthly cost from weekly cost is $\frac{52}{12} \approx 4.333$ times weekly cost. 3. **Calculate missing annual costs from monthly costs:** - Annual cost = monthly cost \times 12. 4. **Calculate missing monthly costs:** - Groceries monthly cost = $245 \times 4.333 = 1061.67$ - Electricity annual cost = $89 \times 12 = 1068$ - Water annual cost = $67 \times 12 = 804$ - Gas annual cost = $65 \times 12 = 780$ - Misc. Expenses monthly cost = $390$ - Misc. Expenses annual cost = $390 \times 12 = 4680$ 5. **Calculate total annual costs:** Sum all annual costs: Groceries: 12740 Insurance: 1560 Electricity: 1068 Water: 804 Gas: 780 Rate: 2340 Misc. Expenses: 4680 Total annual costs = $12740 + 1560 + 1068 + 804 + 780 + 2340 + 4680 = 23972$ 6. **Calculate total annual income:** Monthly income = 3850 Annual income = $3850 \times 12 = 46200$ Bonus = 12% of annual income = $0.12 \times 46200 = 5544$ Total income including bonus = $46200 + 5544 = 51744$ 7. **Calculate leftover for holiday:** Leftover = Total income - Total annual costs = $51744 - 23972 = 27772$ 8. **Calculate impact of increased misc. expenses and phone cost:** - Misc. expenses rise by 1/3: new monthly misc. = $390 + \frac{1}{3} \times 390 = 390 + 130 = 520$ - New annual misc. = $520 \times 12 = 6240$ - Phone cost annual = $49 \times 12 = 588$ - New total annual costs = old total - old misc. + new misc. + phone cost = $23972 - 4680 + 6240 + 588 = 26320$ 9. **New leftover:** $51744 - 26320 = 25424$ 10. **Difference in leftover:** $27772 - 25424 = 2348$ **Final answers:** - Electricity annual cost: $1068$ - Water annual cost: $804$ - Gas annual cost: $780$ - Misc. Expenses annual cost: $4680$ - Total annual costs: $23972$ - Total leftover for holiday: $27772$ - Less leftover if misc. rises and phone added: $2348$ less