Choose the correct answers.

Jay Spring pays [tex]\$350.00[/tex] annually for his health insurance. This is [tex]\frac{1}{3}[/tex] of the total cost of the premium; his company pays the rest. He pays a [tex]\$200[/tex] deductible and the plan pays [tex]90\%[/tex] of all expenses beyond the deductible. This year Jay paid expenses of [tex]\$1,800[/tex] beyond the deductible.

1. How much did Jay have to pay excluding his share of the insurance premium? [tex]\$ \square[/tex]

2. How much did Jay's company pay for his insurance premium? [tex]\$ \square[/tex]

3. Jay paid [tex]10\%[/tex] and the plan paid [tex]90\%[/tex] beyond the deductible. How much did Jay's insurance company pay total? [tex]\$ \square[/tex]

4. How much did Jay have to pay total, including his share of the premium? [tex]\$ \square[/tex]



Answer :

Let's go through each part of the question step by step:

1. Calculate the total cost of the insurance premium:
- Jay pays [tex]$350.00 annually, which is \(\frac{1}{3}\) of the total cost. - Total cost of the premium = \( 350.00 \times 3 = 1050.00 \) 2. Figure out how much Jay's company pays for his insurance premium: - The total premium cost is $[/tex]\[tex]$ 1050.00$[/tex].
- Jay pays [tex]$\$[/tex] 350.00[tex]$, so his company pays the rest. - Company premium payment = \( 1050.00 - 350.00 = 700.00 \) 3. Determine how much Jay pays for medical expenses beyond the deductible: - Jay pays a deductible of \( \$[/tex] 200.00 \).
- Beyond the deductible, there are additional expenses of [tex]\( \$ 1800.00 \)[/tex].
- Jay's share beyond the deductible is [tex]\( 10\% \)[/tex] of [tex]\( \$ 1800.00 \)[/tex].
- Jay's payment beyond the deductible = [tex]\( 1800.00 \times 0.10 = 180.00 \)[/tex]

4. Find out how much Jay's insurance company pays for medical expenses beyond the deductible:
- The plan covers [tex]\( 90\% \)[/tex] of the expenses beyond the deductible.
- Insurance company payment = [tex]\( 1800.00 \times 0.90 = 1620.00 \)[/tex]

5. Calculate Jay’s total payment including all parts:
- Jay's annual payment for the premium is [tex]\( \$ 350.00 \)[/tex].
- Jay pays the deductible [tex]\( \$ 200.00 \)[/tex].
- Jay's payment beyond the deductible is [tex]\( \$ 180.00 \)[/tex].
- Total Jay payment = [tex]\( 350.00 + 200.00 + 180.00 = 730.00 \)[/tex]

Now, let's place the results into the provided blanks:

- How much did Jay have to pay excluding his share of the insurance premium? \[tex]$ 380.00 - This is \( \$[/tex] 200\) deductible + [tex]\( \$ 180 \)[/tex] payment beyond the deductible.

- How much did Jay's company pay for his insurance premium? \[tex]$ 700.00 - How much did Jay's insurance company pay total? \$[/tex] 1620.00

- How much did Jay have to pay total, including his share of the premium? \$ 730.00

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