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The price of an item is modeled by the function p(t) = 2000. (1.026)ᵗ , where t represents time in years. Find the current price of the item. Round your answer to the nearest dollar.

User Bhavinb
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Final answer:

To find the current price of the item, plug in t=0 into the function p(t) = 2000 × (1.026)^t, which gives $2000 as the current price rounded to the nearest dollar.

Step-by-step explanation:

The price of an item modeled by the function p(t) = 2000 × (1.026)^t where t represents time in years, can be found by substituting t with the current time. Since the current time is not specifically given in the problem, we'll assume t to be 0, which represents the initial price of the item. Calculating this, we get p(0) which equals 2000 × (1.026)^0 = 2000 × 1 = $2000. Therefore, the current price of the item is $2000, rounded to the nearest dollar.

User Mikhail Bolotov
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