To determine the amount Bashir will pay each month for rent and utilities, we need to consider the following details:
1. The total monthly rent is \[tex]$1,050.00.
2. The total monthly utilities are \$[/tex]365.00.
3. Bashir is responsible for paying [tex]\(\frac{3}{5}\)[/tex] of the rent.
4. Bashir and his friend will split the utilities equally.
Let's break down Bashir's monthly payments step-by-step.
### Step 1: Calculate Bashir's share of the rent
Bashir will pay [tex]\(\frac{3}{5}\)[/tex] of the monthly rent.
[tex]\[
\text{Bashir's share of the rent} = \frac{3}{5} \times 1050
\][/tex]
Perform the multiplication:
[tex]\[
\text{Bashir's share of the rent} = 630
\][/tex]
### Step 2: Calculate Bashir's share of the utilities
Since the utilities will be split equally, Bashir will pay:
[tex]\[
\text{Bashir's share of the utilities} = \frac{365}{2}
\][/tex]
Perform the division:
[tex]\[
\text{Bashir's share of the utilities} = 182.5
\][/tex]
### Step 3: Calculate Bashir's total monthly payment
Now, add Bashir's share of the rent and utilities to get his total monthly payment:
[tex]\[
\text{Bashir's total monthly payment} = 630 + 182.5
\][/tex]
Perform the addition:
[tex]\[
\text{Bashir's total monthly payment} = 812.5
\][/tex]
Thus, Bashir will pay \[tex]$630 for his share of the rent, \$[/tex]182.50 for his share of the utilities, and a total of \[tex]$812.50 each month.
### Answer:
The correct option is:
d. \$[/tex]812.50
