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sp2606 [1]
2 years ago
13

The next model of a sports car will cost 13.4% less than the current model. The current model costs $44,000. How much will the p

rice decrease in dollars? What will be the price of the next model?
Mathematics
1 answer:
Nat2105 [25]2 years ago
8 0
Answers
Price decrease: $5,896
Price of the next model: $38,104

Explanations:
100 - 13.4 = 86.6/ 100 = 0.866
44000 x 0.866 = 38,104

44000 - 38104 = 5,896
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An exterior angle of a regular convex polygon is 40°. What is the number of sides of the polygon?
seraphim [82]

Answer:

option B

Step-by-step explanation:

Sum of interior angles of a polygon with n sides:

                                                                          = (n - 2 )\times 180

Therefore, Each \ interior \  angle = (\frac{n - 2}{n} )\times 180

Sum \  of \  one \  of \  the  \ interior \  angle \  with  \ its  \ exterior \  angle \  is \  180^\circ

                      [ \ because \ straight \ line \ angle = 180^\circ \ ]

That is ,

Exterior \ angle + Interior \ angle = 180^\circ\\\\40^ \circ + (\frac{n-2}{n}) \times 180  = 180^\circ\\\\40 n + 180n - 360 = 180n\\\\40n = 180n - 180n + 360 \\\\40n = 360 \\\\n = 9

OR

Sum of exterior angles of a regular polygon = 360

Given 1 exterior angle of the regular polygon is  40

Therefore ,

               n \times 40 = 360\\\\n  = \frac{360}{40} \\\\n = 9

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A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided 3/5 of a
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Answer: \dfrac{1}{5}\text{ of an ounce.}

Step-by-step explanation:

Given : A biologist studied how cells grow by adding liquid protein to cell samples.

She divided \dfrac{3}{5} of an ounce of liquid protein evenly among 3 cell samples.

Here , total quantity of liquid protein = \dfrac{3}{5} of an ounce

Total cell samples = 3

Now , Quantity of liquid protein given by her to each cell = (total quantity of liquid protein ) ÷ (3)

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