4
advanced-math

Calculate y=200(1.1)2y = 200(1.1)^2.

A

220

B

242

C

400

D

240

Correct Answer: B

Choice B is the correct answer. Square 1.1 first.

  1. Exponent: (1.1)2=1.21(1.1)^2 = 1.21.
  2. Multiply: 200×1.21=242200 \times 1.21 = 242.

💡 Strategic Tip:112=12111^2 = 121, so 1.12=1.211.1^2 = 1.21.

Choice A is incorrect because it represents 1 year (200×1.1200 \times 1.1). Choice D is incorrect because it approximates 200+20+20200 + 20 + 20.