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tatyana61 [14]
2 years ago
14

What conclusions can be made about the series ∞ 6 cos(πn) n n = 1 and the integral test?

Mathematics
1 answer:
Murrr4er [49]2 years ago
7 0
Depending on how the function is set up, i presume that it is a sum (epsilon) function that is being referred to. Depending on if the function is increasing or decreasing on the interval (infinity to 6??), will determine if the function is convergent or not. When 1 is plugged into cos((\pi n)n it is positive and therefor converging. 
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Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smalle
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Answer:

20 by 20

Step-by-step explanation:

the new dimensions have to be 12 because 12×12 =144 so you would add 8 to 12 and get 20 for each side

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1 year ago
Read 2 more answers
The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the
otez555 [7]

Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

  • 38,430 is the population if t is an exponent
  • 146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

P(t) = 27,400(1.07)t

Substitute the value t=5 to find the population in 5 years.

P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590


Or if the equation is supposed to have t as an exponent then look below:

P(t) = 27,400(1.07)^t

Substitute the value t=5 to find the population in 5 years.

P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430

This formula is based off the standard formula A=A_0(1+r)^t so r, the rate is 1.07=1+0.07 so r is 7%.

A_0 is the starting population which is 27,400 here.

4 0
2 years ago
When performing a horizontal analysis on an income​ statement, the percentage change in any individual item is calculated by div
oksian1 [2.3K]

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<u><em>Explanation: </em></u>While implementing a horizontal analysis on a given income statement, we compute a percentage change in any individual item by dividing the dollar amount of change from base to current  time period with <u><em>the base period amount.</em></u>

i.e. % Change in Individual item = \frac{Current\ Dollar\ - Base\ Dollar }{Base \ period \ amount}

<u><em>Therefore, the correct option in this case is (c)</em></u>

4 0
1 year ago
30 POINTS A quadrilateral has vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4). Quadrilateral ABCD is a __________ A.paral
Otrada [13]

Answer:

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