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astraxan [27]
3 years ago
14

Given that A=xy find the percentage increase in A when both X and Y increase by 10%

Mathematics
1 answer:
Lelechka [254]3 years ago
7 0
A=xy
If there is 10% increase in x then,
New value of x = x + 10%of x =1.1x
similarly for y
New value of y after increase= 1.1 y
New value of A after increase in x and y = 1 .1x × 1.1 y= 1.21xy
now
increase amount in A= New value of A - old value of A
=1.21xy - xy= 0.21xy
percentage increase in A= (0.21xy÷xy )× 100= 21%
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2,-10,50,-250,.. Geometric sequence
nikklg [1K]

This question is incomplete, here is the complete question

What is the recursive formula for this geometric sequence 2, -10, 50, -250, .... ?

The recursive formula for this geometric sequence is:

a_{1} = 2; a_{n} = (-5) • a_{n-1}

Step-by-step explanation:

To find the recursive formula for a geometric sequence:

  1. Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next?)
  2. Find the common ratio. (The number you multiply or divide.)
  3. Create a recursive formula by stating the first term, and then stating the formula to be the common ratio times the previous term.

The recursive formula is:

a_{1} = first term;  a_{n} = r • a_{n-1}  , where

  • a_{1} is the first term in the sequence
  • a_{n-1} is the term before the nth term  
  • r is the common ratio

∵ The geometric sequence is 2 , -10 , 50 , -250

∴ a_{1} = 2

- To find r divide the 2nd term by the first term

∵ r=\frac{a_{2}}{a_{1}}

∴ r=\frac{-10}{2}=-5

- Substitute the values of a_{1} and r in the formula above

∴  a_{1} = 2; a_{n} = (-5) • a_{n-1}

The recursive formula for this geometric sequence is:

a_{1} = 2; a_{n} = (-5) • a_{n-1}

Learn more:

You can learn more about the geometric sequence in brainly.com/question/1522572

#LearnwithBrainly

8 0
3 years ago
Please help. I need it. Bad.
Murljashka [212]

Answer:

Option a.

Step-by-step explanation:

In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.

Opposite side of right angle is hypotenuse. So, CB is hypotenuse.

From figure it is clear that CA is shorter that segment BA.

All angles are congruent to itself. So angle C is congruent to itself.

We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.

So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.

Therefore, the correct option is a.

3 0
3 years ago
The whole number 140 is divisible by 2, 3, 4, 5, 7, and 10.<br><br><br> True or False
Mariulka [41]
False. It is not divisible by 3.
4 0
3 years ago
Read 2 more answers
The two numbers that multiply to 11 and add to -12 are
miss Akunina [59]

Answer:

-11 and -1

Step-by-step explanation:

These are the two numbers that multiply to 11 and add to -12.

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An equivalent fraction for each of those fractions
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The first one is 2/10.The second one is 2/4.The third one is 2/16,and the forth one is 3/6.
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