HELP!! FAN AND MEDAL!!!
There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.
Part A and B is what I got
Part A:
Neighborhood A is y=30(1.2)^{x}. Neighborhood B is y=40+3x

Part B: Neighborhood A is y=30(1.2)^{5}. y =74.6496. Neighborhood B is y=40+3*5, y=55. Neighborhood B has 55
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically
I only need part C

Question

HELP!! FAN AND MEDAL!!!
There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.
 Part A and B is what I got
Part A:
Neighborhood A is y=30(1.2)^{x}. Neighborhood B is y=40+3x

Part B: Neighborhood A is y=30(1.2)^{5}. y =74.6496. Neighborhood B is y=40+3*5, y=55. Neighborhood B has 55
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically
I only need part C