An investment starts at $\$5,000$, grows $4\%$ per period, and is reduced by $200\log(t~+~1)$. Write $V(t)$, then state its mathematical domain and practical time domain.

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V(t)=5000(1.04)t-200log(t+1); domain t>=0

V(t)=5000(1.04)t+200log(t+1); mathematical domain t>-1; practical time domain t>=0

V(t)=5000(0.04)t-200log(t+1); mathematical domain t>-1; practical time domain t>=0

V(t)=5000(1.04)t-200log(t+1); mathematical domain t>-1; practical time domain t>=0

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Curriculum context

Course: Math III
Standard: F-BF.1.b
Category: Functions
Domain: Building Functions
Objective: Combine studied function types arithmetically to build models.
Problem type: Form and interpret a combined function model from two component functions