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Anissa owns a brick house in the country worth [tex]$85,000, and the contents of the house are valued at $[/tex]15,000[tex]$. Use the table below to calculate her annual property insurance premium.

| Area | Building | Contents | Building | Contents | Building | Contents | Building | Contents |
|--------|----------|----------|----------|----------|----------|----------|----------|----------|
| | Brick | Brick | Steel | Steel | Mixed | Mixed | Wood | Wood |
| City | 0.39 | 0.43 | 0.50 | 0.54 | 0.55 | 0.65 | 0.66 | 0.76 |
| Suburb | 0.45 | 0.52 | 0.56 | 0.63 | 0.72 | 0.74 | 0.83 | 0.85 |
| Rural | 0.60 | 0.69 | 0.71 | 0.80 | 0.89 | 0.91 | 1.00 | 1.02 |

A. $[/tex]950.00
B. [tex]$613.50
C. $[/tex]150.00
D. $918.65

Sagot :

To calculate Anissa's annual property insurance premium, we need to determine the premium for both the building and the contents of the house. We'll follow these steps:

1. Identify the appropriate premium rates:
According to the given table, since Anissa's house is a brick house located in the country (rural area), we will use the following rates:
- Building premium rate per [tex]$100 of coverage: $[/tex]0.60
- Contents premium rate per [tex]$100 of coverage: $[/tex]0.69

2. Calculate the premium for the building:
The value of the house (building) is [tex]$85,000. - First, divide the house value by $[/tex]100 to find the number of [tex]$100 units: \[ \frac{\$[/tex]85,000}{100} = 850 \text{ units}
\]
- Next, multiply the number of units by the building premium rate:
[tex]\[ 850 \text{ units} \times \$0.60/\text{unit} = \$510.00 \][/tex]

3. Calculate the premium for the contents:
The value of the house contents is [tex]$15,000. - First, divide the contents value by $[/tex]100 to find the number of [tex]$100 units: \[ \frac{\$[/tex]15,000}{100} = 150 \text{ units}
\]
- Next, multiply the number of units by the contents premium rate:
[tex]\[ 150 \text{ units} \times \$0.69/\text{unit} = \$103.50 \][/tex]

4. Calculate the total annual property insurance premium:
Finally, we add the building premium and the contents premium to get the total premium:
[tex]\[ \$510.00 + \$103.50 = \$613.50 \][/tex]

Given the above steps and calculations, the total annual property insurance premium for Anissa's brick house and its contents in the rural area is [tex]$\$[/tex]613.50[tex]$. Thus, the correct answer is: B. \$[/tex]613.50