Answers
The marginal cost of the sixth boat will be $2000.
How to calculate the marginal costIn the question, we are told that the fixed and variable costs for 5 units of the sailboats are $4,000 each which equals $8000 in the summation.
Now for the sixth boat, the marginal cost can be obtained by subtracting the total cost for the 5 units with the new cost of $10,000. When we subtract the new cost from the old cost, we will get $2,000 and this is the marginal cost for the sixth boat.
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Related Questions
If f’(x) = 3 x^ 2 + 2x and f(2) = 3, then f(1) =
Answers
∫f’(x) dx = ∫(3x^2 + 2x) dx
f(x) = x^3 + x^2 + C
To find the value of C, we can use the given condition f(2) = 3:
f(2) = 2^3 + 2^2 + C = 8 + 4 + C = 12 + C = 3
C = -9
Now we have the complete expression for f(x):
f(x) = x^3 + x^2 - 9
Finally, we can find f(1) by substituting x=1:
f(1) = 1^3 + 1^2 - 9 = 1 + 1 - 9 = -7
Therefore, f(1) = -7.
Activity 2: Gathering information
2.1. Identify 3 current human rights violations to living in a safe and healthy way
in South Africa.
(3x1=3)
Answers
Three current human rights violations to living safely and healthily in South Africa are:
Gender-Based Violence (GBV): South Africa faces a pervasive problem of gender-based violence, including domestic violence, sexual assault, and femicide. Women and girls are particularly vulnerable to these violations, which have severe physical, psychological, and social consequences. GBV undermines the right to live free from violence and poses a significant barrier to a safe and healthy life for many in South Africa.
Access to Healthcare: Despite constitutional guarantees of the right to healthcare, South Africa faces challenges in ensuring equal and adequate access to healthcare services. Limited resources, unequal distribution of healthcare facilities, and socioeconomic disparities contribute to barriers to accessing quality healthcare, particularly for marginalized communities. The lack of accessible healthcare undermines the right to health and hinders individuals' ability to live a safe and healthy life.
Lack of Adequate Housing: Many South Africans face inadequate housing conditions, including informal settlements, shacks, and overcrowded living spaces. Lack of access to adequate housing violates the right to live in a safe and healthy environment. Inadequate housing exacerbates health risks, such as diseases, poor sanitation, and limited access to clean water and basic amenities. This contributes to the cycle of poverty and compromises individuals' well-being.
These violations highlight the need for concerted efforts by the South African government, civil society organizations, and international partners to address gender-based violence, improve healthcare accessibility, and ensure adequate housing for all citizens. Upholding these human rights is crucial for creating a society where individuals can live in safety and enjoy their health.
What proofreading and revision suggestions did you make to improve the writing sample? How did this process help you become a better writer?
Answers
The proof reading and suggestions for improving a writing sample are:
Correcting grammar and punctuation errors, improving sentence structure and clarity, and enhancing vocabulary and word choice in the writing sample.
By identifying and correcting grammar and punctuation errors, the writing became more grammatically correct and easier to understand.
Improving sentence structure and clarity involved rephrasing or rearranging sentences to enhance readability and eliminate unnecessary words or phrases.
Enhancing vocabulary and word choice expanded my linguistic repertoire and made my writing more sophisticated and engaging. By honing my writing skills, I am better equipped to convey ideas effectively and engage readers, improving my overall writing ability.
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A computer has generated a gender-neutral face for a video game character. How would adding an angry expression affect people’s perception of the face’s gender?
Anger would appear as feminine if subtle.
Anger would make the face appear male.
Anger would not affect perception of gender.
Anger would make the face appear female.
Anger would appear masculine if extreme.
Answers
Assume the United States economy is in short-run macroeconomic equilibrium at an output level greater than potential output.
Answers
(a) An increase in government spending by $100 billion will shift the AD curve to the right.
(b) Household savings will decrease by $400 billion in the short run.
(c) An increase in real output will lead to an increase in the demand for money in the economy.
(d) An increase in the interest rate in the short run leads to a decrease in the prices of previously issued bonds
(e) An increase in the inflation rate in the United States relative to the inflation rate in the European Union will lead to a decrease in the demand for dollars in the foreign exchange market.
(f) If the Federal Reserve attempts to keep the value of the dollar constant in the foreign exchange market, it should sell dollars and buy euros.
How to calculate the valueThe maximum change in real output can be calculated using the formula:
∆Y = ∆Spending × (1 / (1 - MPC))
where MPC is the marginal propensity to consume.
∆Y = $100 billion × (1 / (1 - 0.8)) = $500 billion
The maximum change in household savings can be calculated as follows:
∆S = -MPC × ∆Y
∆S = -0.8 × $500 billion = -$400 billion
If the Federal Reserve attempts to keep the value of the dollar constant in the foreign exchange market, it should sell dollars and buy euros. This is because the dollar has depreciated in the foreign exchange market, and selling dollars will increase the demand for dollars and raise its value.
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TWO PARTS:
1. of the MSW generated in 2017, 61 million tonnes was recycled and 24 million tonnes was composted. what percentage of the total MSW generated was either recycled or composed?
2. a further 31 million tonnes of MSW was combusted for energy recovery. what percentage of MSW actually went to landfill in 2017?
Answers
1. The MSW generated in 2017, 61 million tons was recycled and 24 million tons was composted and approximately 22.41% of the MSW generated in 2017 went to landfill.
2.The 31 million tons of MSW was combusted for energy recovery and approximately 22.41% of the MSW generated in 2017 went to landfill.
To solve these questions, we need to calculate the total amount of Municipal Solid Waste (MSW) generated in 2017 and then determine the percentages of recycling, composting, energy recovery, and landfill disposal.
1. To calculate the percentage of MSW that was either recycled or composted:
Total MSW generated = 61 million tonnes (recycled) + 24 million tonnes (composted)
Total MSW generated = 85 million tonnes
Percentage of MSW recycled or composted:
((61 million tonnes + 24 million tonnes) / 85 million tonnes) * 100 = 85.88%
Therefore, approximately 85.88% of the total MSW generated was either recycled or composted.
2. To calculate the percentage of MSW that went to landfill in 2017:
Total MSW disposed = 85 million tonnes (recycled and composted) + 31 million tonnes (combusted for energy recovery)
Total MSW disposed = 116 million tonnes
Percentage of MSW sent to landfill:
((116 million tonnes - (61 million tonnes + 24 million tonnes + 31 million tonnes)) / 116 million tonnes) * 100 = 22.41%
Therefore, approximately 22.41% of the MSW generated in 2017 went to landfill.
It's worth noting that the calculations assume that all the recycled, composted, and combusted waste is diverted from landfill disposal.
However, in practice, there might be cases where a small portion of the recycled or composted waste still ends up in landfills. The percentages provided give a general understanding of the waste management practices but might not account for all nuances in waste disposal.
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Between last year and this year, the CPI in Blueland rose from 100 to 110 and the CPI in Redland rose from 100 to 104. Blueland’s currency unit, the blue, was worth $0.75 (U.S.) last year and is worth $0.60 (U.S.) this year. Redland’s currency unit, the red, was worth $0.50 (U.S.) last year and is worth $0.40 (U.S.) this year. Consider Blueland as the home country.
a. Calculate Blueland’s nominal exchange rate with Redland.
Instructions: Enter your response rounded to one decimal place.
Last year:
blue
red/blue
This year:
red/blue
The percentage change in Blueland’s nominal exchange rate from last year to this year is:
Instructions: Enter your response as a whole number. Be certain to enter "0" if required.
%
b. Calculate Blueland’s real exchange rate with Redland.
Instructions: Enter your response rounded to two decimal places.
Last year:
red/blue
This year:
red/blue
The percentage change in Blueland’s real exchange rate with Redland from last year to this year is:
Instructions: Enter your response rounded to two decimal places. Be certain to enter "0" if required.
%
c. Relative to Redland, you expect Blueland’s exports to be
(Click to select)
by these changes in exchange rates.
Answers
When the CPI in Blueland rose from 100 to 110 and the CPI in Redland rose from 100 to 104, the nominal exchange rate of blue to red is 0.8333.
How to calculate the valueNominal exchange rate = (Price of currency A in currency B) / (Price of currency A in home currency)
The price of the red in blue this year is:
Price of red in blue = 1 / (exchange rate of blue to red)
Exchange rate of blue to red last year = 1
Exchange rate of blue to red this year = 1.2
Now we can calculate the price of red in blue this year:
Price of red in blue this year = 1 / Exchange rate of blue to red this year = 1 / 1.2 = 0.8333
Therefore, the nominal exchange rate of blue to red is 0.8333.
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Explain ONE cultural or economic development in the late twentieth century that would explain Barton’s argument about the “impending decline of the West” in the second paragraph.
Answers
One educational incident that keeps expounding Barton's debate about the "forthcoming decline of the West" is the rise of pluralism and the deterioration of a joint sense of Western similarity.
How does this help Barton's debate?As nations enhanced more various, the usual educational principles and ideas that were based on Western culture were progressively questioned. \
\This, in proper sequence, experienced to a despondency in Western organizations and a increasing sense of doubt about the future.
Additionally, financial worldwide integration and the shift of business-related capacity from the West to arising markets like China too provided to Barton's debate about the decline of the West.
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Which of the following is an example of a spontaneous conversation?
OA child asking a question as they're getting ready for bed
O Parents doing a daily school agenda check
OA parent and teen having a serious conversation
O A family discussing a challenging and difficult topic
Answers
Answer:
D
Explanation: