In June 2012, Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers,

Answer:

To identify the critical point, we set the derivative equal to zero, resulting in:

Calculating the second derivative yields:

This indicates that t = 3.4375 marks the minimum value for the function. Substituting this back into the original function gives us:

Thus, the minimum annual income is found at t = 3.43 (between the years 2008 and 2009), with a value of 25.094

Step-by-step explanation:

In this scenario, we have the function:

Where P represents the annual net income from 2007-2011, and

t is the number of years since early 2005

To discover the lowest income, we utilize the derivative given by:

Setting this derivative to zero allows us to find the critical point, leading to:

Calculating the second derivative reveals:

Therefore, we conclude that t = 3.4375 is the minimum value, substituting into the original function results in:

Thus, the minimum annual income occurs at t = 3.43 (between 2008 and 2009) with the value being 25.094

Answer:

The length AB equals length TU.

Step-by-step explanation:

Procedure: Replicate angle <QPR so that;

<QPR matches <TSU

Set the compass so that each leg touches points A and B to replicate the distance AB.

Next, position the compass at T to draw an arc that marks point U. Draw a straight line from S to U.

Consequently,

<QPR is congruent to <TSU

This method guarantees that angles are congruent by maintaining the same radius, thus AB = TU.

Determining the answer here is quite straightforward. Ella has a total of $2.16, and we need to ascertain the cost per piece of gum.
It is known that if the gum cost one cent less, she would have acquired three more pieces.
 Currently, with 8 pieces priced at 27 cents each, a reduced price would allow her to have 8.64 pieces. This outcome, even after rounding, is incorrect as it does not yield 11.
 For 9 pieces at 24 cents each, a cheaper price would mean she could have 9.39 pieces, which still does not round to 12, indicating it's incorrect.
 At 16 pieces costing 13.5 cents each, at one cent less, she would acquire 17.28 pieces, which also confirms it's wrong because rounding does not yield 19.
 When purchasing 24 pieces at 9 cents each, with the cheaper price, she could buy 27 pieces, which is valid since 27-24 equals 3.
 Therefore, the correct answer is D) 24

Assuming a maximum rental duration of 8 days, if we apply this to the equation, Happy Harry's Rentals costs $500, while Smilin' Sam's charges $600. Therefore, for the 7th and 8th days, Happy Harry's Rentals is a better option, while Smilin' Sam's is preferable for the first six days.

Answer:

2550

Step-by-step explanation:

1) The initial amount borrowed is 17,000.

2) The interest rate is set at 5%.

3) Therefore, to calculate interest: 0.05 * 17000 equals 850.

4) Since the repayment takes 3 years, multiply by 3: 850 * 3 equals 2550.

5) Thus, the total interest that the shoe store is obligated to pay is 2550.