5 Meridian Energy offers a $$ 10 \% $$ 'prompt payment' discount to customers who pay by Direct Debit. The Waitai family has a bill of $$ \$ 373.92 $$. a How much will the Waitai family savempy paying by Direct Debit? b How much will they pay Meridian Energy?

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Sure, let's break down the calculations for both parts of the problem.

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### **a. Savings by Paying via Direct Debit**

Meridian Energy offers a **10% discount** for prompt payment via Direct Debit. To find out how much the Waitai family will save:

1. **Calculate 10% of the total bill:**
   
   $$
   \text{Savings} = 10\% \times \$373.92 = 0.10 \times \$373.92 = \$37.392
   $$
   
2. **Round to the nearest cent:**
   
   $$
   \$37.392 \approx \$37.39
   $$
   
**_Answer:_** The Waitai family will save **\$37.39** by paying via Direct Debit.

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### **b. Total Amount to Pay After Discount**

To determine how much the Waitai family will pay after applying the discount:

1. **Subtract the savings from the original bill:**
   
   $$
   \text{Amount to Pay} = \$373.92 - \$37.392 = \$336.528
   $$
   
2. **Round to the nearest cent:**
   
   $$
   \$336.528 \approx \$336.53
   $$
   
   Alternatively, you can calculate **90%** of the original bill (since they are paying 90% after a 10% discount):

$$
   \text{Amount to Pay} = 90\% \times \$373.92 = 0.90 \times \$373.92 = \$336.528 \approx \$336.53
   $$
   
**_Answer:_** The Waitai family will pay **\$336.53** to Meridian Energy after the discount.

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**Summary:**
- **Savings:** \$37.39
- **Total Payment:** \$336.53
The Waitai family will save \$37.39 by paying via Direct Debit and will pay \$336.53 to Meridian Energy.

5 Meridian Energy offers a \( 10 \% \) 'prompt payment' discount to customers who pay by Direct Debit. The Waitai family has a bill of \( \$ 373.92 \). a How much will the Waitai family savempy paying by Direct Debit? b How much will they pay Meridian Energy?

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