Let's redo part (e) taking tax into account directly.

### Part (e) Recalculation
**Given:**
- Total amount available: $10
- Base cost: $3.00
- Cost per additional mix-in: $0.75
- Tax rate: 8.85%
- The equation from part (d): $ P = (3.00 + 0.75x) \times 1.0885 $

**Calculation:**
Set $ P \leq 10 $:
\[ 10 \geq (3.00 + 0.75x) \times 1.0885 \]

First, solve for $ x $:
\[ \frac{10}{1.0885} \geq 3.00 + 0.75x \]
\[ 9.185 \geq 3.00 + 0.75x \]
\[ 9.185 - 3.00 \geq 0.75x \]
\[ 6.185 \geq 0.75x \]
\[ x \leq \frac{6.185}{0.75} \]
\[ x \leq 8.2467 \]

Since you can only add whole mix-ins:
\[ x = 8 \]

### Verification
To ensure the result is accurate, let's verify:

\[ P = (3.00 + 0.75 \times 8) \times 1.0885 \]
\[ P = (3.00 + 6.00) \times 1.0885 \]
\[ P = 9.00 \times 1.0885 \]
\[ P = 9.7965 \]

The total cost with 8 additional mix-ins (including tax) is $9.7965, which is less than $10.

### Summary
You can add 8 additional mix-ins if you have a $10 Cold Stone gift card, including tax.

Would you like further details on any part? Here are some questions you might want to ask next:

1. How do you simplify an equation?
2. What are some common algebraic formulas?
3. How do you calculate percentage increase?
4. Can you explain compound interest?
5. How do you solve quadratic equations?

**Tip:** When solving word problems, carefully identify all given information and required results before starting calculations.

Learn how to recalculate part (e) of a math problem involving mix-in costs with tax considerations. Step-by-step solution provided using equations and tax rate adjustments. Suitable for high school students and anyone interested in math problem-solving.

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