R is 4 if I'm wrong sorry
Answer:
Step-by-step explanation:a
They will have the same amount of money after 7 weeks.
We first set these equal to each other:
36+4x=x²+15
We want to gather all of the variables on one side. Subtract 4x from both sides:
36+4x-4x=x²+15-4x
36=x²-4x+15
We want the equation to be equal to 0 to solve it, so subtract 36 from both sides:
36-36=x²-4x+15-36
0=x²-4x-21
We can factor this expression. We want factors of -21 that sum to -4; -7(3)=-21 and -7+3=-4:
0=(x-7)(x+3)
Using the zero product property, we know that x-7=0 or x+3=0; this means x=7 or x=-3. Since a negative number of weeks makes no sense, the answer is 7 weeks.
Every week he withdraws $35 from the $950 in his savings, and he wants at least $600 by the end of the summer. So we could write:

Where 'x' is the number of weeks. Now let's solve it for 'x'.
Subtract 950 to both sides:

Divide -35 to both sides, don't forget to switch the sign when dividing/multiplying by a negative number:

So he can only withdraw at money for at most 10 weeks if he wants at least $600 left in his account.