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ra1l [238]
3 years ago
15

A medical insurance company offers two​ prescription-drug insurance plans. With plan​ 1, James would pay the first ​$150 of his

prescription costs and 50​% of all costs after that. With plan​ 2, James would pay the first ​$280 of​ costs, but only ​20% of the rest. For what amount of prescription costs will plan 2 save James​ money? (Assume that his prescription costs exceed ​$280​.) mostly need help on how to do the problem
Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

when expenses are greater than $433.33

Step-by-step explanation:

set up equations for each plan

let 'x' = prescription costs

Plan 1:  y = 150 + .5x

Plan 2:  y = 280 + .2x

150 + .5x = 280 + .2x

.5x = 130 + .2x

.3x = 130

x = 433.33

i checked my answer by graphing each equation and $433.33 is the break-even point where each plan would have the same costs but, after that, the expenses for Plan B are less

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3 years ago
25 POINTS!
steposvetlana [31]
-\dfrac12x+3=-x+7

Add -3 to both sides:

-\dfrac12x+3-3=-x+7-3
-\dfrac12x=-x+4

Multiply both sides by -2:

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x=-2(-x+4)

On the right hand side, distribute the -2:

x=2x-8

Add -2x to both sides:

x-2x=2x-2x-8
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Divide by -1:

\dfrac{-x}{-1}=\dfrac{-8}{-1}
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(and not x=-8, unless the original equation wasn't correctly written/interpreted?)
5 0
3 years ago
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth) A) 35.2 B) 39.
jenyasd209 [6]
<h3><u>Given Numbers:-</u></h3>
  • 23, 33 ,33 ,27 ,25 ,68 ,27 ,44 ,72

<h3><u>To Find:-</u></h3>
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<h3><u>Solution</u>:-</h3>

\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}

\longrightarrow Here, no of observation are 9

Now,

\begin{gathered}\implies \small \sf Average =\frac{23+33+33+27+25+68+27+44+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \small \sf Average =\frac{56+60+93+71+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{116+164+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{352}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average = 39.1 \\\end{gathered}

\longrightarrowThe Average of given set of numbers is 39.1 .

∴ Option C) is correct ✔️

3 0
2 years ago
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Lera25 [3.4K]

Answer:

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Step-by-step explanation:

0.55

3/5= .6

2/3= .66​

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3 years ago
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Shalnov [3]

Answer:

Step-by-step explanation:

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