Hilda has bank account balance of $1550. Each week, her balance changes by -$82.50. She wants to keep the balance above $395. How many weeks will Hilda's balance remain above $395?

Question

Hilda has bank account balance of $1550. Each week, her balance changes by -$82.50. She wants to keep the balance above $395. How many weeks will Hilda's balance remain above $395?

Answer 1

Let's determine how many times the balance changes by -$82.50 before it reaches the minimum balance of $395.

We subtract the minimum balance from the initial balance: $1550 - $395 = $<<1550-395=1155>>1155

Then we divide this amount by the change per week: $1155 / -$82.50/week ≈ -14

Since we can't have a negative number of weeks, Hilda's balance will remain above $395 for 14 weeks. Answer: \boxed{14}.