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Given the functionf(x)=2000[1.13]x+380Find f(5).

Question

Given the functionf(x)=2000[1.13]x+380Find f(5).

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Solution

To find the value of f(5), you need to substitute x = 5 into the function f(x) = 2000[1.13]^x + 380.

Step 1: Substitute x = 5 into the function f(5) = 2000[1.13]^5 + 380

Step 2: Calculate the value of [1.13]^5 [1.13]^5 = 1.88 (approximately)

Step 3: Multiply 2000 by 1.88 2000 * 1.88 = 3760

Step 4: Add 380 to 3760 3760 + 380 = 4140

So, f(5) = 4140.

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