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3 years ago

Wthdrawing $10 every week from an outstanding balance of $400

Mathematics

2 answers:

Tomtit [17]3 years ago

6 0

Well it'll take 40 weeks til you run out of money..... Was that the answer you're looking for?

artcher [175]3 years ago

3 0

$10 x 40 = $400 so yes it would be a total of 40 weeks till your money runs out.

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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?

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Answer: The correct option is

(E) 70.

Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

$n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.$

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

$n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.$

Therefore, the total number of triangles and quadrilaterals is

$n=n_t+n_q=35+35=70.$

Thus, option (E) is CORRECT.

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