The credit card with the transactions described in the popup below uses the average daily balance method to calculate interest. The monthly interest rate is $1\mathrm{.}4\%$ of the average daily balance. Calculate parts$$ a$-$d using the statement in the popup.

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Part $1$

a$.$ Find the average daily balance for the billing period. Round to the nearest cent.

The average daily balance for the billing period is $$$

$$

enter your response here.

$($Round to the nearest cent as$$ needed.$)$

Part $2$

b$.$ Find the interest to be paid on July$1,$ the next billing date. Round to the nearest cent.

The interest to be paid on July $1$ is $$$

$$

enter your response here.

$($Use the answer from part a to find this answer. Round to the nearest cent as$$ needed.$)$

Part $3$

c$.$ Find the balance due on July $1.$

The balance due on July $1$ is $$$

$$

enter your response here.

$($Use the answer from part b to find this$$ answer.$)$

Part $4$

d$.$ This credit card requires a$$ $$30$ minimum monthly payment if the balance due at the end of the billing period is less than$$ $$400.$ Otherwise, the minimum monthly payment is StartFraction $1$ Over $25$ EndFraction

of the balance due at the end of the billing$$ period, rounded up to the nearest whole dollar. What is the minimum monthly payment due by July$9?$

The minimum monthly payment is $$$

$$

enter your response here.

$($Use the answer from part c to find this answer. Round up to the nearest$$ dollar.$)$