1. you are looking to move out of your parent's house and into an apartment.
apartment a has a $1000 security deposit and costs $1200 each month. apartment b
has a $1500 security deposit and costs $1175 each month. how many months, m, will it
take for the costs to be the same?

20 months

Step-by-step explanation:

Let m represent the months and let y represent the amount after m months , then we have

y = 1000 + 1200m equation 1

y = 1500 + 1175m equation 2

Equating the two equations  , we have

1500 + 1175m = 1000 + 1200m

collecting the like terms

1500 - 1000 = 1200m - 1175m

500 = 25m

Therefore m = 500/25

m = 20

Therefore it will take 20 months for the costs to be the same

2

step-by-step explanation:

yes

yes yes yes