Nick opens a savings account with $50. Each week after, he deposits $15. He wants to save $500. Write and solve equation to find the number of weeks it will take him to save $500.

Equation: 500 = 50 + 15x

Step-by-step explanation:

where x is the number of weeks Nick will have to deposit $15 in order to accumulate $500, given that the first week he deposited $50.  

500 = 50 + 15x

500 = 50 + 15x

450 = 15x

x = 30

Now Nick will have to deposit $15 each week for 30 weeks.   This is in addition to the $50 deposit he made week 1.  So it will take him 31 total deposits to accumulate the $500.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)