You have $75 in your bank account. Each week you plan to deposit 9$ from your allowance and $20 from your paycheck. The equation b=75+(20+9)w give the amount b in your account after w weeks. How many from now will you have $215 in your bank account?

4.82

Step-by-step explanation:

You have to first plug in 215 and add the prntheeses

215=75+29w

Then you have to cancel out numbers by subtraction so subtract 75

140=29w

Divide by 29

4.82

look at photo

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: