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Bumek [7]
3 years ago
10

Given the formula an = 47 + (n - 1)(-3), find the 21st term in the sequence.

Mathematics
1 answer:
natali 33 [55]3 years ago
7 0

R

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Rep

Repo

Repos

<span>http://tinyurl.com/37d8xoe</span>

Repos

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A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he
Nina [5.8K]

The maximum units is 200 and , Total revenue is $8,000

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

Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:

We have following function as R(x)=80x-0.2x^ 2 . Let's differentiate this and equate it to zero to find value of x for which the function is maximum!

⇒ R(x)=80x-0.2x^ 2

⇒ \frac{d(R(x))}{dx}=\frac{d(80x-0.2x^ 2)}{dx}

⇒ \frac{d(R(x))}{dx}=\frac{d(80x)}{dx}-\frac{d(0.2x^ 2)}{dx}}

⇒ 0=80-2x(0.2)

⇒ \frac{80}{0.4}=x

⇒ x=200

Now , Value of function at x=200 is :

⇒ R(200)=80(200)-0.2(200)^ 2

⇒ R(200)=16000-8000

⇒ R(200)=8000

Therefore , The maximum units is 200 and , Total revenue is $8,000

7 0
3 years ago
2852.1 rounded to the nearest tenth of a mile
katrin2010 [14]
2852.1 rounded to the nearest tenth of a mile is still 2852.1
5 0
3 years ago
Read 2 more answers
The area of Terry's room at the old house was 96 ft.2. The area of Terry's room at the new house is 108 ft.2
Finger [1]

Answer:

12.5%

Step-by-step explanation:

First we need to calculate the change in the area of Terry's room this is

108 ft2 - 96 ft2 = 12 ft2

Then we use a direct proportion in order to find the percentage

96 ft2 ----- 100%

12 ft2 ----- p?

Solvin for p we have that

p=\frac{12\times 100}{96}

p=12.5

3 0
3 years ago
Read 2 more answers
The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.
Mice21 [21]

Answer:  

1 pound of avocado costs $1.8.

Step-by-step explanation:

This problem is just a simple division problem. We jest need to divide the given values to get the answer. For our problem, to know the price of 1 pound of avocado, we need to divide the $9 by 5 since the problem stated that the price of 5 pounds of avocados is $9.

Given:

5 pounds avocados = $9

Required:

cost of 1 pound of avocado

Solution:

$9 / 5 pounds = $1.8/pound

1 pound avocado = $1.8

Notice from the first line of solution, the unit became $ per pound. This means that we did the right operation since we are looking for the price per pound.

To check if we computed for the correct value, we should multiply $1.8 to 5. If the answer from doing this is $9, then our answer is correct.

Checking:

$1.8 * 5 = $9

Therefore, the cost of 1 pound of avocado is $1.8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the area of this shape.
aniked [119]

Answer:

Step-by-step explanation:

Bottom triangle

Area = b * height

b = 4 + 4 = 8 cm

h = 5.75

Area = 1/2 * 5.75 * 8

Area = 23 cm^2

Trapezoid

b1 = 8

b2 = 4

h = 2

Area = (b1 + b2)*h/ 2

Area = (8 + 4)*2 /2

Area = 12

Total area = 23 + 12

Total area = 35

7 0
3 years ago
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