A8. A tree grows as follows. On day 1, one branch grows from the ground. On day 2, a leaf grows on the branch, and the end of the branch splits into two new branches. On each subsequent day, a new leaf grows on each branch, and each end splits into two new branches. See the figure below.

How many leaves does the tree have at the end of the tenth day?
A) 172
B) 503
C) 920
D) 1013
E) 2047

![](https://cdn.mathpix.com/cropped/2024_04_17_998065f2d90ec501d25cg-2.jpg?height=166&width=714&top_left_y=2164&top_left_x=337)

day 1 day 2

![](https://cdn.mathpix.com/cropped/2024_04_17_998065f2d90ec501d25cg-2.jpg?height=440&width=574&top_left_y=1893&top_left_x=1164)

day 3

## B-questions