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46) an older tv screen was 49 centimeters wide. the newer model increas…

Question

  1. an older tv screen was 49 centimeters wide. the newer model increased the screen size by 16 percent. how wide is the new tv screen?

Explanation:

Step1: Find the increase amount

The increase percentage is 16%, so we calculate 16% of 49. First, convert 16% to a decimal: \( 16\% = 0.16 \). Then, the increase amount is \( 49\times0.16 = 7.84 \).

Step2: Find the new width

Add the increase amount to the original width. So, the new width is \( 49 + 7.84 = 56.84 \) centimeters. Alternatively, we can calculate it directly as \( 49\times(1 + 0.16)=49\times1.16 = 56.84 \).

Answer:

The new TV screen is 56.84 centimeters wide.