Pregunta

3 Isaac has the following bills: electricity \( \$ 560 \) per quarter, internet \( \$ 80 \) per month, council rates \( \$ 1260 \) per year and water \( \$ 430 \) per quarter. Which of these is closest to the amount Isaac should budget per fortnight to cover the cost of the bills? (A) \( \$ 190 \) (B) \( \$ 240 \) (C) \( \$ 290 \) (D) \( \$ 580 \)

Ask by Moreno Murray. in Iran
Jan 11,2025

Solución de tutoría real

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Isaac should budget approximately \$240 per fortnight to cover his bills.

Solución

To determine the amount Isaac should budget per fortnight for his bills, let's break down each expense and convert them to a per-year basis before calculating the fortnightly amount. 1. **Electricity**: - **$560 per quarter** - There are 4 quarters in a year. - **Annual Cost**: \( 560 \times 4 = \$2,240 \) 2. **Internet**: - **$80 per month** - There are 12 months in a year. - **Annual Cost**: \( 80 \times 12 = \$960 \) 3. **Council Rates**: - **$1,260 per year** 4. **Water**: - **$430 per quarter** - There are 4 quarters in a year. - **Annual Cost**: \( 430 \times 4 = \$1,720 \) **Total Annual Expenses**: \[ 2,240\ (\text{Electricity}) + 960\ (\text{Internet}) + 1,260\ (\text{Council Rates}) + 1,720\ (\text{Water}) = \$6,180 \] **Calculating Fortnightly Budget**: - There are 26 fortnights in a year. \[ \frac{6,180}{26} \approx 237.69 \] Rounding this to the nearest dollar gives **\$238** per fortnight. The closest option provided is **\$240**. **Answer:** **\( \boxed{240} \)**

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Mind Expander

To determine the amount Isaac should budget per fortnight, we first need to calculate the total annual cost of his bills. 1. **Electricity:** \( \$560 \) per quarter \( \times 4 \) = \( \$2240 \) per year 2. **Internet:** \( \$80 \) per month \( \times 12 \) = \( \$960 \) per year 3. **Council Rates:** \( \$1260 \) per year 4. **Water:** \( \$430 \) per quarter \( \times 4 \) = \( \$1720 \) per year Now, add these amounts together: \[ 2240 + 960 + 1260 + 1720 = 5180 \] Next, divide the total annual cost by the number of fortnights in a year (there are 26 fortnights in a year): \[ \frac{5180}{26} \approx 199.23 \] Thus, the closest amount that Isaac should budget per fortnight is **(A) \$190**. Isaac can round up his budget slightly to cover any fluctuations and avoid budget mishaps, which is a smart move!

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