90=66e^{-0.0174(90)}+75 — step-by-step solution

⚠ 90=66e^{-0.0174(90)}+75 is read as 90=66e^(-0.0174(90))+75: use ^(...) to group an exponent, use * to multiply

⇥Let's evaluate:

66 e^{(-0.0174 \times 90)} + 75

⇥

66 e^{-1.566} + 75

⇥

\frac{66}{e^{1.566}} + 75

⇥The numeric value of:

\frac{66}{e^{1.566}} + 75

equals:

⇥

\frac{66}{{\approx 2.7183}^{1.566}} + 75

⇥

\frac{66}{\approx 4.7875} + 75

⇥

\frac{66 + 75 \times \approx 4.7875}{\approx 4.7875}

⇥

\frac{66 + \approx 359.0595}{\approx 4.7875}

⇥

\frac{\approx 425.0595}{\approx 4.7875}

⇥

\approx 88.7860

▶ $90 = 66 e^{(-0.0174 \times 90)} + 75$ is false: $90$ is not $\approx 88.7860$