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babymother [125]
2 years ago
10

In a West Texas school district the school year began on August 1 and lasted until May 31. On August 1 a Soft Drink company inst

alled soda machines in the school cafeteria. It found that after t months the machines generated income at a rate of f(t) = 300t/2t2 + 8 dollars per month. Find the total income, $Tscc, produced during the second semester beginning on January 1.
Mathematics
1 answer:
WINSTONCH [101]2 years ago
3 0

Answer:

$95.78

Step-by-step explanation:

f(t) = 300t / (2t² + 8)

t = 0 corresponds to the beginning of August.  t = 1 corresponds to the end of August.  t = 2 corresponds to the end of September.  So on and so forth.  So the second semester is from t = 5 to t = 10.

$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt

$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt

$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt

$T₂ = 75 ln(t² + 4) |₅¹⁰

$T₂ = 75 ln(104) − 75 ln(29)

$T₂ ≈ 95.78

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A company that is selling computer tablets has determined that it regularly makes a net profit of $180 for each computer tablet
Gekata [30.6K]

Answer:

Considering the prediction of people who will fill out the form and receive the refund, the company should expect its net profit to drop to:

  • <u>$174.6 per computer tablet</u>.

Step-by-step explanation:

The benefit per tablet before the rebate program is $180 per computer tablet, however, once the rebate program is implemented, 18% of people who purchase their computer tablet are expected to complete the form and obtain the VISA card, which would reduce the benefit as shown below:

  • 18% benefit from computer tablets = original benefit - refund value.
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With this we identify that 18% of computer tablets will have a benefit reduced to $150, however, as the remaining percentage of tablets (82%) will still have the benefit of $180, the general benefit must be calculated to have a single value, as it's shown in the following:

  • Overall benefit = Percentage of tablets with reimbursement * Benefit of tablets with reimbursement + Percentage of tablets without reimbursement * Benefit of tablets without reimbursement.
  • General profit = 18% * 150 + 82% * 180
  • <u>General profit = $ 174.6 </u>

By having a $ 30 rebate on 18% of the tablets, the overall benefit drops to $174.6.

6 0
2 years ago
Stacie is a resident at your medical facility where you work. You are asked to chart the amount of solid food that she consumes.
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4.75 ounces of solid food
7 0
2 years ago
Joaquin and Trisha are playing a game in which the lower median wins the game. Their scores are shown below.
iragen [17]
Median is defined as the middle term when the scores are arranged in increasing/decreasing order.

Joaquin's scores: 58, 62, 72, 75, 85, 91        Median: 73.5
Trisha's scores: 55, 74, 76, 90, 91, 92          Median: 83

The answer is letter A. 
3 0
1 year ago
Read 2 more answers
On babylonian tablet ybc 4652, a problem is given that translates to this equation: x (x/7) (1/11) (x (x/7)) = 60 what is the so
Yanka [14]
Thanks for posting your question here. The answer to the above problem is x = <span>48.125. Below is the solution:
</span>
 x+x/7+1/11(x+x/7)=60 
x = x/1 = x • 7/7
x <span>• 7 + x/ 7 = 8x/7 - 60 = 0
</span>x + x/7 + 1/11 <span>• 8x/7 - 60 = 0
</span>8x <span>• 11 + 8x/ 77 = 96x/ 77
</span>96x - 4620 = 12 <span>• (8x-385)
</span>8x - 385 = 0
x = 48.125


5 0
2 years ago
Read 2 more answers
Round 1627187 to the nearest ten?
Eduardwww [97]

Answer:

1627190

Step-by-step explanation:

(see attached for reference)

Given the number 1627187, we can see that the number in the tens place is the number 8.  

How we round this depends on the number immediately to the right of this number. (i.e the digit in the ones place)

Case 1: If the digit in the ones place is less less than 5, then the number in the tens place remains the same and replace all the digits to its right with zeros

Case 2: If the digit in the ones places is 5 or greater, then we increase the digit in the tens place and replace all the digits to its right with zeros.

In our case, the digit in the ones places is 7, this greater than 5, hence according to Case 2 above, we increase the digit in the tens place by one (from 8 to 9) and replace all the digits to its right by zeros giving us:

1627190

7 0
2 years ago
Read 2 more answers
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