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Helen [10]
3 years ago
9

(70 points) please answer this question and explain how you get the answer!!

Mathematics
2 answers:
musickatia [10]3 years ago
3 0

Answer: -0.10

Step-by-step explanation:

there is a pattern because 2014 0.45, 2015 0.20, 2016 0.35, 2016 0.10.

Radda [10]3 years ago
3 0

Answer: -0.10

Step-by-step explanation:

because of the down fall

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2 years ago
What is the value of x in the equation 21%+ 3) = 4(x-1)?<br> 1<br> 2<br> 3<br> 5
lions [1.4K]

Answer:

321/100

Step-by-step explanation:

7 0
2 years ago
The interior angle of a regular polygon is five times its corresponding exterior angle. Find the
tiny-mole [99]

Answer:

12

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the  interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the  interior angles of  polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each  interior angles of the polygon = (2n-4)*90/n  (A)

Sum of all the exterior angles of any polygon = 360.

value of each  exterior angles of the polygon = 360/n  (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle   (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

=> 2n = 20+4 = 24

=> n = 24/2 = 12.

the  number of sides of the polygon is 12

6 0
3 years ago
(1CQ) Determine whether the series -8/5+32/25-128/125+... is convergent or divergent.
Ivan

Answer:

The series is convergent answer ⇒ (a)

Step-by-step explanation:

* The series is -8/5 + 32/25 + -128/125 + ........

- It is a geometric series with:

- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5

* The difference between the convergent and divergent

  in the geometric series is :

- If the geometric series is given by  sum  = a + a r + a r² + a r³ + ...

* Where a is the first term and r is the common ratio

* If |r| < 1 then the following geometric series converges to a / (1 - r).  

- Where a/1 - r is the sum to infinity

* The proof is:

∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number

∴ r^n approach to zero

∴ S = a(1 - 0)/(1 - r) = a/(1 - r)

∴ S∞ = a/1 - r

* If |r| ≥ 1 then the above geometric series diverges

∵ r = -4/5

∴ IrI = 4/5

∴ IrI < 1

∴ The series is convergent

3 0
3 years ago
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