Solve the following graphically. If necessary, round answers to the nearest thousandth.
-$800 ( 1 - 0.04 ) ^ { 12 x } = 200$
A) $\{ - 424.152 \}$
B) $\{ 2.830 \}$
C) $\{ 407.513952 \}$
D) $\{ - 24.462 \}$

Question

Quizplus · Accepted Answer

To solve the equation $800 ( 1 - 0.04 ) ^ { 12 x } = 200$ graphically, we first simplify and solve for $x$. Dividing both sides by 800 gives $(1 - 0.04)^{12x} = \frac{200}{800} = 0.25$. Taking the natural logarithm of both sides and solving for $x$ gives $x \approx 2.830$, which matches choice B.

Solve the Following Graphically 800(1−0.04)12x=200800 ( 1 - 0.04 ) ^ { 12 x } = 200800(1−0.04)12x=200

Solve the Following Graphically $800 ( 1 - 0.04 ) ^ { 12 x } = 200$