Mathematics, 21.07.2019 22:00 srshelton

Jim and stephanie just got married and are thinking about changing their health care insurance plans to be more affordable. currently, both jim and stephanie are insured through their own employers. jim’s employer pays 42% of his $378 monthly premium. his insurance plan will also pay for 23% of the $345 premium for additional beneficiaries. stephanie’s employer pays 35% of her $298 monthly premium but offers to pay an extra 10% of her premium for each beneficiary stephanie adds to her plan. her employer would then pay 30% of the $349 premium for each additional beneficiary. insurance jim's employer beneficiary monthly premium employer contribution jim $378 42% additional (each) $345 23% stephanie's employer beneficiary monthly premium employer contribution stephanie $298 35% (+10% for each additional beneficiary) additional (each) $349 30% which would be the most economical way for the couple to purchase health insurance? a. they should both add each other to their plans. b. stephanie should add jim to her health care plan. c. jim should add stephanie to his health care plan. d. they should each purchase a plan from their own employer. the answer is b

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Answer from: imjustdumbsis

Stephanie’s plan is much better than Jim in terms of money.

Further explanation:

Step by step explanation:

Step 1:

It is given that Jim’s boss paid $42\%$ of his $\$378$ monthly premium.

Therefore, the remaining of the percent is paid by Jim.

Now find the remaining percent of the premium that is paid by Jim.

$100\% - 42\% = 58\%$

The money paid by Jim for the premium can be evaluated as,

$\begin{aligned}{\text{money paid by Jim}} &= 58\% {\text{ of }}378 \\&= \frac{{58}}{{100}} \times 378\\&= 219.24 \\\end{aligned}$

Step 2:

Now it is also given that $23\%$ of $\$345$ premium is paid by boss for additional beneficiaries according to Jim’s insurance plan.

Therefore, the remaining percent would be paid by Jim.

Now find the remaining percent of the additional premium that is paid by Jim.

$100\% - 23\% = 77\%$

The money paid by Jim for his additional premium can be evaluated as,

$\begin{aligned}{\text{money paid by Jim}} &= 77\% {\text{ of }}350\\&=\frac{{77}}{{100}} \times 350\\&= 265.65\\\end{aligned}$

Now calculate the total premium paid by Jim as,

$\begin{aligned}{\text{total money paid by Jim}} &= \$ 219.24 + \$ 265.65\\&= \$ 484.89\\\end{aligned}$

Step 3

It is given that Stephanie’s boss is paying $35\%$ of his $\$298$ monthly premium and they offers $10\%$ extra for his beneficiary.

Therefore, the remaining percent is given by Stephanie.

Now find the remaining percent of the premium that is paid by Stephanie.

$100\% - 35\% - 10\% = 55\%$

The money paid by Jim for his premium can be evaluated as,

$\begin{aligned}{\text{money paid by Jim}} &= 55\% {\text{ of 29}}8\\&= \frac{{55}}{{100}} \times 298\\&= 163.90\\\end{aligned}$

Step 4:

Now it is also given that $30\%$ of $\$349$ premium is paid by boss for additional beneficiaries according to Stephanie ’s insurance plan.

Therefore, the remaining percent is paid by Stephanie.

Now find the remaining percent of the additional premium that is paid by Stephanie.

$100\% - 30\% = 70\%$

The money paid by Stephanie for his additional premium can be evaluated as,

$\begin{aligned}{\text{money paid by Stephanie}} &= 70\% {\text{ of }}349\\&= \frac{{70}}{{100}} \times 349\\&= 244.30\\\end{gathered}$

Now calculate the total amount of premium paid by Stephanie as,

$\begin{aligned}{\text{total amount paid by Stephanie}} &= \$ 163.90 + \$ 224.30\\&= \$ 408.20\\\end{aligned}$

Step 5:

From step 2, the money paid by Jim is $\$ 484.89$ and from step 4 the money paid by Stephanie is $\$ 484.89$ .

It can be observed that Jim is paying more than Stephanie

Therefore, Stephanie’s plan is much better than Jim in terms of money as it is most affordable.

Learn more:

Learn more about the solution of the linear equation Learn more about the problem of the linear equation Learn more about midpoint of the segment

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Percentage

Keywords: Jim, Stephanie, Percentage, premium, insurance plan, beneficiaries, amount, paid, employer, paid, additional, division, multiplication, number

Answer from: Quest

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )

Answer from: Quest

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

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Jim and stephanie just got married and are thinking about changing their health care insurance plans...