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Joshua rents an apartment in an all-brick building in the city. The value of the belongings in the apartment is about [tex]$\$ 25,000$[/tex]. If Joshua wants to insure his belongings while renting, how much will he have to pay for insurance per year?

\begin{tabular}{|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{9}{|c|}{ Annual Premium per [tex]$\[tex]$ 100$[/tex][/tex] of coverage } \\
\hline
\multirow[b]{2}{*}{\begin{tabular}{l}
Area \\
rating
\end{tabular}} & \multicolumn{2}{|l|}{ Brick } & \multicolumn{2}{|l|}{ Steel } & \multicolumn{2}{|l|}{ Mixed } & \multicolumn{2}{|l|}{ Wood } \\
\hline & Building & Contents & Building & Contents & Building & Contents & Building & Contents \\
\hline
City & 0.39 & 0.43 & 0.5 & 0.54 & 0.55 & 0.65 & 0.66 & 0.76 \\
\hline
Suburb & 0.45 & 0.52 & 0.56 & 0.63 & 0.72 & 0.74 & 0.83 & 0.85 \\
\hline
Rural & 0.6 & 0.69 & 0.71 & 0.8 & 0.89 & 0.91 & 1 & 1.02 \\
\hline
\end{tabular}

A. [tex]$\$ 150.00$[/tex]

B. [tex]$\[tex]$ 178.65$[/tex][/tex]

C. [tex]$\$ 173.50$[/tex]

D. [tex]$\[tex]$ 107.50$[/tex][/tex]

Sagot :

GinnyAnswer
To determine how much Joshua has to pay for insurance per year, we'll follow a step-by-step process based on the details provided:

1. Identify key details:
- The value of Joshua's belongings: \[tex]$25,000. - The premium rate for insuring the contents in an all-brick building in the city: \$[/tex]0.43 per \[tex]$100 of coverage. 2. Calculate the total premium: - First, determine how many units of \$[/tex]100 are there in the total value of the belongings. Since his belongings are worth \[tex]$25,000, this means: \[ \frac{25000}{100} = 250 \text{ units of } \$[/tex]100
\]

- Next, multiply the number of \[tex]$100 units by the annual premium rate per \$[/tex]100:
[tex]\[ \text{Insurance Cost} = 250 \times 0.43 = \$107.50 \][/tex]

3. Compare with the given options:
- Option A: \[tex]$150.00 - Option B: \$[/tex]178.65
- Option C: \[tex]$173.50 - Option D: \$[/tex]107.50

4. Conclusion:
The calculated insurance cost is \[tex]$107.50, which matches option D. Therefore, Joshua will have to pay \$[/tex]107.50 for insurance per year.
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