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leva [86]
3 years ago
13

A small company 's net income for the first 6 months of the year was 76.500 and for the last six months it was 100,000 . What is

the ratio of the first six months of the year to the last 6 months of the year in simplest form ?
Mathematics
1 answer:
inna [77]3 years ago
5 0

Answer:The ratio of net income in the first 6 months, to the last six months is $76,500 / $100,000. This simplifies intuitively as follows:

76500/100000

Dividing by 100: 765/1000

Dividing by 5: 153/200

The denominator 200 is only divisible by the prime numbers 2 and 5, and since the numerator 153 is not divisible by either 2 or 5, this means that this is in simplest form, and the final answer is 153/200.

Step-by-step explanation:i did the research for you this isnt my own answer therefore don't give me the credit. but hope this helped you tho :D

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Show that the sum of the first 2n natural numbers is n(2n+1)
Leokris [45]

Answer:

This sum is the sum of an arithmetic sequence.  There is a formula for the sum of an arithmetic sequence which can be looked up or derived by a variety of means.

A nice approach for this sequence is the following.  Notice  that the sum of first and last number in the sequence is the same as the sum of the second and second last, and also the same as the sum of the third and third last, and so on.

There are n of these pairs.  So the desired sum is n x (first number + last number).   But the first number is 1 and the last on is 2n.   Thus the desired sum is n(1 + 2n).

Hope this helps!!

Mark Brainleast!!!!!!!!!!!

7 0
2 years ago
Read 2 more answers
37. Construct Arguments Luis and Raul are
Katarina [22]

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

  • <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
  • <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

  • Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr

<u>Using the general form</u> :

  • y = bx + c

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

<u>The expression in slope intercept form becomes</u> ;

  • y = -7.5x + 15

<u>If Raul lives 5 miles closer to the beach</u> ;

<u>Time it will take Luis to get to the beach</u> :

  • Time taken = (15 ÷ 7.5) = 2.5 hours

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

  • Speed required = (10 ÷ 2.5) = 4 mi/hr

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

Learn more :brainly.com/question/18405415

5 0
2 years ago
There is one foot in 12 inches how many feet are there in 14.2 round your answer to the nearest 10ths place
34kurt
1.2 feet is how many feet it is
4 0
3 years ago
If △ABC ≅ △DEF, then what corresponding side is congruent to side BA? (Enter answer using segment letters only.)
sdas [7]
<h3>Answer is   ED</h3>

note: ED is the same as DE. The order of the segment letters does not matter.

============================================

Explanation:

In the sequence ABC, the letter B is the second letter and A is the first.

So the corresponding segment to BA will have its first slot be the second letter of DEF, and its second slot be the first letter of DEF. That's how I'm getting ED for the answer. It is the same as DE because it's the same segment.

The corresponding sides are congruent due to the CPCTC which stands for "corresponding parts of congruent triangles are congruent".

3 0
3 years ago
Your favorite craft store had a weekend sale. On the first day, all $10 items were 70% off. You bought some number of these of t
Svet_ta [14]
For the first day we have the following function:
 f (n) = (0.3 * 10) n + 8
 For the second day we have the following function:
 f (n) = (0.4 * 10) n + 5
 You spent the same amount of money as the day before:
 (0.3 * 10) n + 8 = (0.4 * 10) n + 5
 3n + 8 = 4n + 5
 n = 8-5
 n = 3 items
 We evaluate each function for n = 3
 f (3) = (0.3 * 10) * 3 + 8 = 17 $
 f (3) = (0.4 * 10) * 3 + 5 = 17 $
 The total amount of money is:
 17 + 17 = 34 $
 Answer:
 
you purchase 6 items
 
you spend at the craft store during the sale $ 34
8 0
3 years ago
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