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Kitty [74]
3 years ago
7

During the first 11 months of a recent year, a certain charitable organization received an average (arithmetic mean) of $20,600

per month in donations.
How much did the organization receive in donations during December of that year if the average amount of donations per month for the entire year was $21,000?

A) $21,400 B) $21,600 C) $24,000 D) $25,400 E) $25,800
Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:

Donation received in December = $ 25,400

Step-by-step explanation:

Given:

Average for 11 months = $20,600

Average for entire year = $ 21,000

Total amount received in first 11 months (A) = $20,600 x 11

                                                                    = $226,600

Total amount received in entire year( 12 months) (B) = $ 21,000 x 12

                                                                                 = $252,000

Therefore,

Amount received in December month = (B) - (A)

                                                                   = $252,000 - $226,600

                                                                   = $ 25,400

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Find the sum of the following series. Round to the nearest hundredth if necessary,
Aneli [31]

Answer:

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3 0
3 years ago
What is the area of a garden that measures 4mx4mx6mx4mx10mx8m
topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

  • One square
  • Two rectangles

Recall that the area of a square is given by:

A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square

On the other hand, the area of a rectangle is given by:

A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle

Therefore:

FOR THE SQUARE:

L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}

FOR THE RECTANGLE 1:

L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}

FOR THE RECTANGLE 2:

L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}

Finally, the area of a garden is the sum of the three areas:

A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

#LearnWithBrainly

4 0
3 years ago
Lincoln buys milk and oranges at the store.
podryga [215]

Answer: $6.24

Step-by-step explanation:

41.63-4.19= 37.44

37.44/6=6.24

8 0
3 years ago
Read 2 more answers
I need the answer fore both plsss
grandymaker [24]

Answer:  6i) 6a² - 2ab

               6ii) -2b³

               6iii) b³ + 7b² - 49b

<u>Step-by-step explanation:</u>

6i)   (a + b)(5a - 3b)             +    (a - 3b)(a - b)

=    5a² - 3ab + 5ab - 3b²   +    a² - ab - 3ab + 3b²

=    5a² + 2ab - 3b²             +   a² - 4ab + 3b²

= 6a² - 2ab

6ii)    (a - b)(a² + b² + ab)              -  (a + b)(a² + b² - ab)

=   a³ + ab² + a²b - ab² - a²b - b³ -  (a³ + ab² - a²b -ab² + a²b + b³)

=   a³ - b³                                      -  (a³ + b³)

=   a³ - b³                                      - a³ - b³

= -2b³

6iii) (b² - 49)(b + 7)             +     343

=     b³ + 7b² - 49b - 343    +    343

=     b³ + 7b² - 49b

You are allowed a maximum of 3 questions.

Please post #7 on a different question.

5 0
3 years ago
Trigonometry
Alla [95]

90° is equal to  \frac{\pi}{2} or 1.5707 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form \frac{\pi}{x} radians.

To convert degrees to radians, we multiply the degree measure by \frac{\pi}{180}.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)(\frac{\pi}{180}).

Step 2:

To convert 90°,

90 (\frac{\pi}{180} ) = \frac{\pi}{2}.

0.5 \pi = 1.5707 radians.

So 90° is equal to \frac{\pi}{2} or 1.5707 radians.

3 0
3 years ago
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