The next model of a sports car will cost [tex]$4.1 \%$[/tex] more than the current model. The current model costs [tex][tex]$\$[/tex] 35,000$[/tex]. How much will the price increase in dollars? What will be the price of the next model?

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Increase in price: & [tex]$\$ \square$[/tex] \\
Price of next model: & [tex][tex]$\$[/tex] \square$[/tex] \\
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Answer :

To find out how much the price will increase and the cost of the next model, we need to follow these steps:

1. Identify the current model cost and the percentage increase:
- Current model cost = [tex]$35,000 - Percentage increase = 4.1% 2. Convert the percentage increase to a decimal for ease of calculation: - 4.1% as a decimal is 0.041 3. Calculate the increase in price: \[ \text{Increase in price} = \text{current model cost} \times \text{percentage increase} \] Substituting the values: \[ \text{Increase in price} = 35000 \times 0.041 = 1434.9999999999998 \] Therefore, the increase in price is $[/tex]1434.9999999999998, which can be approximated as [tex]$1435.00. 4. Calculate the cost of the next model by adding the increase to the current model cost: \[ \text{Next model cost} = \text{current model cost} + \text{increase in price} \] Substituting the values: \[ \text{Next model cost} = 35000 + 1434.9999999999998 = 36435.0 \] So, the final answers are: - Increase in price: $[/tex]1434.9999999999998
- Price of next model: $36435.0