bedsaul12345

10.03.2021 •

Mathematics

In the diagram of triangle ABC, m

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Ответ:

deg12

15.01.2021

Mathematics

Stephanie’s plan is more affordable than Jim.

Further explanation:

Step by step explanation:

Step 1:

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

Therefore the rest of the percent is given by Jim.

Now find the rest of percent of the premium that is given by Jim.

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

The amount paid by Jim for his premium can be calculated as,

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

Step 2:

Now it is given that Jim’s insurance plan pays additional beneficiaries that is $23\%$ of $\$ 345$ premium.

Therefore the rest of the percent is given by Jim.

Now find the rest of percent of the additional premium that is given by Jim.

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

The amount paid by Jim for his additional premium can be calculated as,

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

Now calculate the total premium paid by Jim as,

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

Step 3

It is given that Stephanie’s employer paid $35\%$ of his $\$ 298$ monthly premium and offers extra $10\%$ of his premium

Therefore the rest of the percent is given by Stephanie.

Now find the rest of percent of the premium that is given by Stephanie.

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

The amount paid by Jim for his premium can be calculated as,

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

Step 4:

Now it is given that Stephanie’s insurance plan pays additional beneficiaries that is $30\%$ of $\$ 349$ premium.

Therefore, the rest of the percent is given by Jim.

Now find the rest of percent of the additional premium that is given by Stephanie.

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

The amount paid by Stephanie for his additional premium can be calculated as,

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

Now calculate the total premium paid by Stephanie as,

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

Step 5:

From step 2, the amount paid by Jim is $\$ 484.89$ and from step 4 the amount paid by Stephanie is $\$ 408.20$ .

It can be seen that Stephanie is paying less than Jim.

Therefore Stephanie should add Jim to her plan as Stephanie’s plan is more affordable than Jim.

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

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