Question

Which of the following is an equivalent expression to 7 · (1 0.09)2x?

1) 7 · (1.0081)x
2) 7 · (1.1881)x
3) 14 · (1.09)x
4) 49 · (1.09)x

Answer 1

The equivalent expression to 7 · (1 + 0.09)^2x is option 2: 7 · (1.1881)^x after simplification.

Step-by-step explanation:

The expression 7 · (1 0.09)2x can be simplified by first addressing the term inside the parentheses. We notice that it's supposed to read (1 + 0.09), which equals 1.09. When squared, (1.09)2 becomes 1.1881. Therefore, when this square is raised to the power of x, the inside term becomes (1.1881)x. Multiplying that by 7 gives us 7 · (1.1881)x, which makes the equivalent expression option 2: 7 · (1.1881)x.