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Vitek1552 [10]
3 years ago
7

Create a story problem for 1/3 ×6 and solve the problem​

Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Answer:

Let's say Joe Shmo, who runs a lemonade stand, gets in a situation with some bad guys near the bake sale stand. They say he has to give a third of his lemonade cups to them. If Joe Shmo has six cups of lemonade, how many cups will he have to give them?

Step-by-step explanation:

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A worker was paid a salary of $10,500 in 1985. Each year, a salary increase of 6% of the previous year's salary was awarded. How
Mazyrski [523]
Note that 6% converted to a decimal number is 6/100=0.06. Also note that 6% of a certain quantity x is 0.06x.

Here is how much the worker earned each year:


In the year 1985 the worker earned <span>$10,500. 

</span>In the year 1986 the worker earned $10,500 + 0.06($10,500). Factorizing $10,500, we can write this sum as:

                                            $10,500(1+0.06).



In the year 1987 the worker earned

$10,500(1+0.06) + 0.06[$10,500(1+0.06)].

Now we can factorize $10,500(1+0.06) and write the earnings as:

$10,500(1+0.06) [1+0.06]=$10,500(1.06)^2.


Similarly we can check that in the year 1987 the worker earned $10,500(1.06)^3, which makes the pattern clear. 


We can count that from the year 1985 to 1987 we had 2+1 salaries, so from 1985 to 2010 there are 2010-1985+1=26 salaries. This means that the total paid salaries are:

10,500+10,500(1.06)^1+10,500(1.06)^2+10,500(1.06)^3...10,500(1.06)^{26}.

Factorizing, we have

=10,500[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]=10,500\cdot[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]

We recognize the sum as the geometric sum with first term 1 and common ratio 1.06, applying the formula

\sum_{i=1}^{n} a_i= a(\frac{1-r^n}{1-r}) (where a is the first term and r is the common ratio) we have:

\sum_{i=1}^{26} a_i= 1(\frac{1-(1.06)^{26}}{1-1.06})= \frac{1-4.55}{-0.06}= 59.17.



Finally, multiplying 10,500 by 59.17 we have 621.285 ($).


The answer we found is very close to D. The difference can be explained by the accuracy of the values used in calculation, most important, in calculating (1.06)^{26}.


Answer: D



4 0
3 years ago
Using b=1+r, what does b=
alisha [4.7K]

Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

4 0
2 years ago
What is the formula to find the hight of a square
kherson [118]
In a square, all sides are equal and all angles are equal.
So, the length of the side is only the height.
Therefore height can be:
1)The root of the area of square
2)The perimeter divided by 4
6 0
3 years ago
Read 2 more answers
A video streaming company has two monthly plans to choose from: Plan A
bearhunter [10]

Answer:

<em>Plan A</em>

Step-by-step explanation:

Plan A -

$7 + 2.50(5)

$7 + $12.50

Plan A = $19.50

Plan B-

$4(5) = $20

Plan A is the cheapest, therefore it is the best plan.

Hope this helped! :)

6 0
3 years ago
What's the value of x
Nikolay [14]
X² = hyp² - cat²

x² = 625 - 156.25

x² = 468.75

x ≈ 21,6 
3 0
3 years ago
Read 2 more answers
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