When Vlad moved into his home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.

175 cm

7 years

Step-by-step explanation:

Here is the complete question

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard.

He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.

 1. How tall was the tree when Vlad moved into the house?

 2. How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

The formula for calculating future value:

FV = P + (r x n)

FV = Future height of the tree

P = Present height of the tree

R = growth rate

N = number of years

292 = p + (26 x 4.5)

292 = p + 117

p = 292 - 117

p = 175 cm

b. 357 = 175 + (26 x n)

375 - 175 = 26n

182 = 26n

n = 182 / 26 = 7 years