The problem states that there are nine dominos numbered 0 to 8. Domino 0 is 3.00 inches tall. Each subsequent domino is 10% taller than the one before it. The goal is to find the height of domino 8.

1. Problem Description

The problem states that there are nine dominos numbered 0 to

8. Domino 0 is 3.00 inches tall. Each subsequent domino is 10% taller than the one before it. The goal is to find the height of domino

8.

2. Solution Steps

The height of each domino can be calculated using the formula for compound interest:

$Height_n = Height_0 * (1 + r)^n$

where:

$Height_n$ is the height of domino $n$.

$Height_0$ is the height of domino 0, which is 3.00 inches.

$r$ is the rate of increase, which is 10% or 0.

1

0. $n$ is the domino number.

In this case, we want to find the height of domino 8, so $n = 8$.

$Height_8 = 3.00 * (1 + 0.10)^8$

$Height_8 = 3.00 * (1.10)^8$

$Height_8 = 3.00 * 2.14358881$

$Height_8 = 6.43076643$

Rounding to two decimal places, we get $Height_8 = 6.43$ inches.

3. Final Answer

The height of domino #8 is 6.43 inches.