Prorate the following expenses and find the corresponding monthly expense. Lan pays a semiannual premium of $450 for automobile insurance, a monthly premium of $130 for health insurance, and an annual premium of $400 for life insurance The monthly expense is (Round to the nearest cent as needed.)

Respuesta :

Answer:

$238.33

Step-by-step explanation:

We have been given that Lan pays a semiannual premium of $450 for automobile insurance, a monthly premium of $130 for health insurance, and an annual premium of $400 for life insurance.

First of all, we will find annual costs of each insurance.

[tex]\text{Yearly automobile insurance}=2\times \$450[/tex]

[tex]\text{Yearly automobile insurance}=\$900[/tex]

[tex]\text{Yearly health insurance}=12\times \$130[/tex]

[tex]\text{Yearly health insurance}=\$1560[/tex]

[tex]\text{Yearly life insurance}=1\times \$400[/tex]

[tex]\text{Yearly life insurance}=\$400[/tex]

[tex]\text{Total yearly expenses}=\$900+\$1560+\$400[/tex]

[tex]\text{Total yearly expenses}=\$2860[/tex]

Now, we will divide total yearly cost by 12 to find monthly expenses.

[tex]\text{Monthly expenses}=\frac{\$2860}{12}[/tex]

[tex]\text{Monthly expenses}=\$238.33333[/tex]

[tex]\text{Monthly expenses}\approx \$238.33[/tex]

Therefore, the monthly expenses would be $238.33.