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kupik [55]
4 years ago
6

What is the next term in the pattern 1000, 500, 250, 125, 62.5, ……

Mathematics
1 answer:
umka21 [38]4 years ago
8 0

Answer:

31.25

Step-by-step explanation:

Firstly, we need to identify the pattern.

Pattern: every next number is obtained by dividing the previous number by 2.

1st number = 1000

2nd number = 1000/2 = 500

3rd number =  500/2 = 250

4th number = 250/2 = 125

5th number = 125/2 = 62.5

6th number = 62.5/ 2 = 31.25.

_______________________________________________

It can be also solved using concept of geometric progression

In GP

any nth number is given by = ar^(n-1)

where a is first number

r is the common ratio for the gp

r common ratio is calculated by = nth/(n-1)th

here r = 500/1000 = 1/2

a = 1000

next term which we need to find is 6th terms

Thus, 6th terms = 1000*(1/2)^(6-1)

 =1000/2^5

=1000/32 = 31.25

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Vesna [10]

Answer:

There will be $4450 left at the end of the year.

Step-by-step explanation:

We first take 11% and multiply it by $5,000. We get 550. This means that the account will lose $550. Next, we take our original amount, $5,000, and subtract $550 from it. We will get $4450.

5 0
4 years ago
I need help with my homework I don’t understand everything, just some things.
olga55 [171]

Answer:

1. false; they are only skew if they have no congruency or similarity to the other segment

2. true

3. true

4. false; one is vertical and one is horizontal

5. true

6. false; they are not in the same locations on the cube

Step-by-step explanation:

7. m1 is 45 becuase it is alternate interior angles with b

m2 is 135 because the pair needs to add up to 180

8 0
3 years ago
How can x + 3 = −2x + 5 be set up as a system of equations?
Nat2105 [25]

Answer:

y  = x+3;  y = -2x +5

Step-by-step explanation:

x + 3 = -2x + 5

Let   y = x + 3 = -2x + 5

If a = b = c then a=b and a=c

we can write the equation as

y = x + 3 and y = -2x + 5

Thus, this is the system of equations

y = x + 3

y = -2x + 5

6 0
3 years ago
Read 2 more answers
Andrew uses the equation 25(x-4)=30 x, where x represents the number of sales, to determine the number of items he needs to sell
pshichka [43]

Hello,

Start off by distributing 25 to both x and -4

25 * X = 25x & 25 * -4 = -100

25x - 100 = 30

At this point, we add 100 to both sides so we can get 25 to be seperate from 100.

25x = 130

To get rid of the 25, divide it in both sides:

130/25 = 5.2

The answer would be 5.2

I hope this helps you with your assignment!

6 0
3 years ago
I got two more pls answer
polet [3.4K]

Answer:

33.) = 4

34.) = 2

35.) = 6

36.) = 6

37.) = 91

38.) = 35

39.) = 4

40.) = 28

41.) = 18

42.) = (-6)

Step-by-step explanation:

<h3>33.)</h3>

(10 + 6) ÷ [(9 – 5) × (5 – 4)²]

(16) ÷ (4) × (1)²

16/4 = 4

Thus, The answer is 4

<h3>34.)</h3>

(3² × 2) ÷ (5 + 8 – 5 + 1)

(9 × 2) ÷ (9)

18/9 = 2

Thus, The answer is 2

<h3>35.)</h3>

6² ÷ {2 + 5 – [9 – (6 + 2)]}

6² ÷ [2 + 5 – (9 – 8)]

36 ÷ [2 + 5 – (1)]

36 ÷ 7 – 1

36/6 = 6

Thus, The answer is 6

<h3>36.)</h3>

(3 × 3 × 2) ÷ (4 – 1)

18/3 = 6

Thus, The answer is 6

<h3>37.)</h3>

4 × 3 × 10 – 4² – (10 + 3)

120 – 16 – 13

120 – 29 = 91

Thus, The answer is 91

<h3>38.)</h3>

5 × [(22 – 1) × 2] ÷ (8 + 2 – 4)

5 × [(21) × 2] ÷ (6)

5 × 42 ÷ 6

5 × 7 = 35

Thus, The answer is 35

<h3>39.)</h3>

-2 × 4 ÷ [2 + (-4) – (-4)] – 4

-8 ÷ (2 – 4 + 4) – 4

-8 ÷ 2 – 4

-8/-2 = 8/2 = 4

Thus, The answer is 4

<h3>40.)</h3>

-4(-1 + 2) × 4 – 2 + (-1)

-4 × (1) × 4 – 2 – 1

(-4) × (-7) = 28

Thus, The answer is 28

<h3>41.)</h3>

-3 – (-3 × 3) + 6 × 2

-3 – (-9) + 12

-3 + 9 + 12

6 + 12 = 18

Thus, The answer is 18

<h3>42.)</h3>

6 – {3² + [3 × (-1)²]}

6 – [9 + (3 × 1)]

6 – (9 + 3)

6 – 12 = -6

Thus, The answer is (-6)

<u>-TheUnknownScientist 72</u>

7 0
3 years ago
Read 2 more answers
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