Given the functionf(x)=2000[1.13]x+380Find f(5).Group of answer choices4064.873304.8710,92011,6803684.87
Question
Given the function
f(x) = 2000[1.13]^x + 380
Find f(5).
Group of answer choices
4064.87
3304.87
10,920
11,680
3684.87
Solution
To find 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.
None of the given answer choices match this result. There might be a mistake in the question or the answer choices.
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