2. in 14 days, lins sister will be paid $430 and will deposit it into her checking account. if there are no…

To solve this, we need to know Lin's current account balance (which is missing from the problem). However, assuming a common context (like if the daily fee is due to a low balance), here's a general approach:

Step 1: Determine the total daily fees for 14 days

Let's assume the daily fee is $5.95. The total fee for 14 days is $5.95 × 14. $$5.95\times14 = 83.3$$

Step 2: Analyze the deposit and balance

Suppose Lin's current balance (before the 14 - day period and the deposit) is such that she is being charged the daily fee. After 14 days, she deposits $430. We need to check if her balance after the deposit is above the minimum required to avoid the daily fee.

If we assume that the daily fee is charged because her balance is below a certain threshold (say, $0 or a minimum balance), we need to find her balance before the deposit. Let's assume her balance before the 14 - day period and deposit is $B$. After 14 days of being charged $5.95 per day, her balance before the deposit is $B-5.95\times14=B - 83.3$. Then she deposits $430, so her new balance is $(B - 83.3)+430=B + 346.7$.

If the minimum balance to avoid the fee is, for example, $0, then as long as $B+346.7\geq0$, but this is too vague without knowing $B$.

But if we assume that before the 14 - day period, her balance was such that she was being charged the fee (e.g., her balance was negative), let's say her balance before the 14 - day period was $-$x$ (where $x>0$). After 14 days of fees, her balance is $-x-83.3$. Then after depositing $430$, her balance is $-x - 83.3+430=430-(x + 83.3)$.

If $x+83.3<430$, then her balance after deposit will be positive. If the daily fee is charged for a negative balance, and her balance becomes positive after the deposit, she will not be charged the daily fee. If the daily fee is charged for a balance below a certain positive minimum (e.g., $100$), we need to check if $430-(x + 83.3)\geq100$.

Since the problem is incomplete without the initial balance, but if we assume a typical scenario where the fee is for a negative balance:

If her balance before the 14 - day period and deposit was such that after 14 days of fees and the deposit, her balance is positive, she will not be charged. If it's still negative, she will be charged.

For example, if her balance before the 14 - day period was $-$300$:

• After 14 days of fees: $-300-83.3=-$383.3$
• After deposit: $-383.3 + 430=$46.7$

Since her balance is now positive, she will not be charged the daily fee.

If her balance before the 14 - day period was $-$400$:

• After 14 days of fees: $-400-83.3 = -$483.3$
• After deposit: $-483.3+430=-$53.3$

Since her balance is still negative, she will continue to be charged.

To give a definite answer, we need the initial balance. But if we assume a common case where the deposit of $430$ is enough to cover the fees and bring the balance positive:

If we assume her balance before the 14 - day period was, say, $-$100$:

• After 14 days of fees: $-100 - 83.3=-$183.3$
• After deposit: $-183.3 + 430=$246.7$

Since the balance is positive, she will not be charged the daily fee.

In most cases, a deposit of $430$ after 14 days of $5.95$ - dollar fees (total fees of $83.3$) will likely bring the balance positive (assuming the initial negative balance is not extremely large), so she will not continue to be charged.

If we assume the initial balance was such that after 14 days of fees, the balance before deposit was $B_{before\ deposit}$ and $B_{before\ deposit}+ 430\geq$ the minimum balance to avoid the fee, then the answer is no. If $B_{before\ deposit}+430<$ the minimum balance, then the answer is yes.

Since the problem is missing the initial balance, but based on typical scenarios, we can say:

If the deposit of $430$ is enough to bring her account balance above the threshold required to avoid the daily fee (after accounting for the 14 days of $5.95$ - dollar fees), then she will not be charged. If not, she will be.

For example, if the daily fee is due to a negative balance and her balance before the 14 - day period and deposit was, say, $-$300$:

• Total fees for 14 days: $5.95\times14 = 83.3$
• Balance before deposit: $-300-83.3=-383.3$
• Balance after deposit: $-383.3 + 430 = 46.7$ (positive), so no daily fee.

If her balance before the 14 - day period and deposit was $-$500$:

• Balance before deposit: $-500-83.3=-583.3$
• Balance after deposit: $-583.3 + 430=-153.3$ (negative), so she will continue to be charged.

Since the problem is incomplete, but in a common - sense situation where the initial negative balance is not extremely large, the deposit of $430$ will likely bring the balance positive, and she will not be charged the daily fee.

If we assume that the daily fee is $5.95$ and we consider the total amount of fees for 14 days is $5.95\times14 = 83.3$. If we assume that before the 14 - day period, her balance was such that after 14 days of fees, her balance was $B$ and then she deposits $430$. If $B + 430\geq$ the minimum balance to avoid the fee, then no; otherwise, yes.

In a typical bank account scenario where the daily fee is for a negative balance, and if we assume her balance before the 14 - day period was not extremely negative (e.g., more than $- 430+83.3=-346.7$), then after the deposit, her balance will be positive, and she will not be charged.

So, in most cases, she will not continue to be charged the daily fee after the deposit.