Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 8.2, Problem 48PS
To determine
To find:The total spending will be generated by a
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2. In 2004 for working class people wheat was selling at an average price of Rs. 16
cloth at Rs. 2 per metre, house rent Rs. 30 per house and other items at Rs. 10 per unit. By
2005 cost of wheat rose by Rs. 4 per 20 kg., house rent by Rs. 15 per house and other items
doubled in price. The working class cost of living index for the year 2005 (with 2004 as
base) was 160. By how much the cloth rose in price during the period?
(А) Rs. 1.30
per
20 kg,
(В) Rs. 1.20
(C) Rs. 1.70
(D) Rs. 0.90
Although Social Security is a problem, some projections
indicate that there's a much bigger time bomb ticking
in the federal budget, and that's Medicare. In 2000, the
cost of Social Security was 5.48% of the gross domestic
product, increasing by 0.04% of the GDP per year. In
2000, the cost of Medicare was 1.84% of the gross domestic
product, increasing by 0.17% of the GDP per year.
(Source: Congressional Budget Office)
a. Write a function that models the cost of Social
Security as a percentage of the GDP x years after 2000.
b. Write a function that models the cost of Medicare
as a percentage of the GDP x years after 2000.
c. In which year will the cost of Medicare and Social Security
be the same? For that year, what will be the cost of each
program as a percentage of the GDP? Which program will
have the greater cost after that year?
Part III- Percentage Problems 1. You decided to begin to save money when you graduated from high school. A couple of years have passed , and you currently have $9.500 saved in your bank account. You have decided to use $4940 to pay for one class you need so it does not delay your graduation date. What percentage of your savings did you use for your class? Show all your work to justify your answer . 2. An organization raises money for students who attend Berkeley College every year. Currently, they have raised $ 25, 160 which represents 37 % of the money they raise. Determine the amount of money the organization will raise in total. Show all your work to justify your answer .
Chapter 8 Solutions
Calculus
Ch. 8.1 - Prob. 1PSCh. 8.1 - Prob. 2PSCh. 8.1 - Prob. 3PSCh. 8.1 - Prob. 4PSCh. 8.1 - Prob. 5PSCh. 8.1 - Prob. 6PSCh. 8.1 - Prob. 7PSCh. 8.1 - Prob. 8PSCh. 8.1 - Prob. 9PSCh. 8.1 - Prob. 10PS
Ch. 8.1 - Prob. 11PSCh. 8.1 - Prob. 12PSCh. 8.1 - Prob. 13PSCh. 8.1 - Prob. 14PSCh. 8.1 - Prob. 15PSCh. 8.1 - Prob. 16PSCh. 8.1 - Prob. 17PSCh. 8.1 - Prob. 18PSCh. 8.1 - Prob. 19PSCh. 8.1 - Prob. 20PSCh. 8.1 - Prob. 21PSCh. 8.1 - Prob. 22PSCh. 8.1 - Prob. 23PSCh. 8.1 - Prob. 24PSCh. 8.1 - Prob. 25PSCh. 8.1 - Prob. 26PSCh. 8.1 - Prob. 27PSCh. 8.1 - Prob. 28PSCh. 8.1 - Prob. 29PSCh. 8.1 - Prob. 30PSCh. 8.1 - Prob. 31PSCh. 8.1 - Prob. 32PSCh. 8.1 - Prob. 33PSCh. 8.1 - Prob. 34PSCh. 8.1 - Prob. 35PSCh. 8.1 - Prob. 36PSCh. 8.1 - Prob. 37PSCh. 8.1 - Prob. 38PSCh. 8.1 - Prob. 39PSCh. 8.1 - Prob. 40PSCh. 8.1 - Prob. 41PSCh. 8.1 - Prob. 42PSCh. 8.1 - Prob. 43PSCh. 8.1 - Prob. 44PSCh. 8.1 - Prob. 45PSCh. 8.1 - Prob. 46PSCh. 8.1 - Prob. 47PSCh. 8.1 - Prob. 48PSCh. 8.1 - Prob. 49PSCh. 8.1 - Prob. 50PSCh. 8.1 - Prob. 51PSCh. 8.1 - Prob. 52PSCh. 8.1 - Prob. 53PSCh. 8.1 - Prob. 54PSCh. 8.1 - Prob. 55PSCh. 8.1 - Prob. 56PSCh. 8.1 - Prob. 57PSCh. 8.1 - Prob. 58PSCh. 8.1 - Prob. 59PSCh. 8.1 - Prob. 60PSCh. 8.2 - 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Prob. 16PSCh. 8.6 - Prob. 17PSCh. 8.6 - Prob. 18PSCh. 8.6 - Prob. 19PSCh. 8.6 - Prob. 20PSCh. 8.6 - Prob. 21PSCh. 8.6 - Prob. 22PSCh. 8.6 - Prob. 23PSCh. 8.6 - Prob. 24PSCh. 8.6 - Prob. 25PSCh. 8.6 - Prob. 26PSCh. 8.6 - Prob. 27PSCh. 8.6 - Prob. 28PSCh. 8.6 - Prob. 29PSCh. 8.6 - Prob. 30PSCh. 8.6 - Prob. 31PSCh. 8.6 - Prob. 32PSCh. 8.6 - Prob. 33PSCh. 8.6 - Prob. 34PSCh. 8.6 - Prob. 35PSCh. 8.6 - Prob. 36PSCh. 8.6 - Prob. 37PSCh. 8.6 - Prob. 38PSCh. 8.6 - Prob. 39PSCh. 8.6 - Prob. 40PSCh. 8.6 - Prob. 41PSCh. 8.6 - Prob. 42PSCh. 8.6 - Prob. 43PSCh. 8.6 - Prob. 44PSCh. 8.6 - Prob. 45PSCh. 8.6 - Prob. 46PSCh. 8.6 - Prob. 47PSCh. 8.6 - Prob. 48PSCh. 8.6 - Prob. 49PSCh. 8.6 - Prob. 50PSCh. 8.6 - Prob. 51PSCh. 8.6 - Prob. 52PSCh. 8.6 - Prob. 53PSCh. 8.6 - Prob. 54PSCh. 8.6 - Prob. 55PSCh. 8.6 - Prob. 56PSCh. 8.6 - Prob. 57PSCh. 8.6 - Prob. 58PSCh. 8.6 - Prob. 59PSCh. 8.6 - Prob. 60PSCh. 8.7 - Prob. 1PSCh. 8.7 - Prob. 2PSCh. 8.7 - Prob. 3PSCh. 8.7 - Prob. 4PSCh. 8.7 - Prob. 5PSCh. 8.7 - Prob. 6PSCh. 8.7 - Prob. 7PSCh. 8.7 - Prob. 8PSCh. 8.7 - Prob. 9PSCh. 8.7 - Prob. 10PSCh. 8.7 - Prob. 11PSCh. 8.7 - Prob. 12PSCh. 8.7 - Prob. 13PSCh. 8.7 - Prob. 14PSCh. 8.7 - Prob. 15PSCh. 8.7 - Prob. 16PSCh. 8.7 - Prob. 17PSCh. 8.7 - Prob. 18PSCh. 8.7 - Prob. 19PSCh. 8.7 - Prob. 20PSCh. 8.7 - Prob. 21PSCh. 8.7 - Prob. 22PSCh. 8.7 - Prob. 23PSCh. 8.7 - Prob. 24PSCh. 8.7 - Prob. 25PSCh. 8.7 - Prob. 26PSCh. 8.7 - Prob. 27PSCh. 8.7 - Prob. 28PSCh. 8.7 - Prob. 29PSCh. 8.7 - Prob. 30PSCh. 8.7 - Prob. 31PSCh. 8.7 - Prob. 32PSCh. 8.7 - Prob. 33PSCh. 8.7 - Prob. 34PSCh. 8.7 - Prob. 35PSCh. 8.7 - Prob. 36PSCh. 8.7 - Prob. 37PSCh. 8.7 - Prob. 38PSCh. 8.7 - Prob. 39PSCh. 8.7 - Prob. 40PSCh. 8.7 - Prob. 41PSCh. 8.7 - Prob. 42PSCh. 8.7 - Prob. 43PSCh. 8.7 - Prob. 44PSCh. 8.7 - Prob. 45PSCh. 8.7 - Prob. 46PSCh. 8.7 - Prob. 47PSCh. 8.7 - Prob. 48PSCh. 8.7 - Prob. 49PSCh. 8.7 - Prob. 50PSCh. 8.7 - Prob. 51PSCh. 8.7 - Prob. 52PSCh. 8.7 - Prob. 53PSCh. 8.7 - Prob. 54PSCh. 8.7 - Prob. 55PSCh. 8.7 - Prob. 56PSCh. 8.7 - Prob. 57PSCh. 8.7 - Prob. 58PSCh. 8.7 - Prob. 59PSCh. 8.7 - Prob. 60PSCh. 8.8 - Prob. 1PSCh. 8.8 - Prob. 2PSCh. 8.8 - Prob. 3PSCh. 8.8 - Prob. 4PSCh. 8.8 - Prob. 5PSCh. 8.8 - Prob. 6PSCh. 8.8 - Prob. 7PSCh. 8.8 - Prob. 8PSCh. 8.8 - Prob. 9PSCh. 8.8 - Prob. 10PSCh. 8.8 - Prob. 11PSCh. 8.8 - Prob. 12PSCh. 8.8 - Prob. 13PSCh. 8.8 - Prob. 14PSCh. 8.8 - Prob. 15PSCh. 8.8 - Prob. 16PSCh. 8.8 - Prob. 17PSCh. 8.8 - Prob. 18PSCh. 8.8 - Prob. 19PSCh. 8.8 - Prob. 20PSCh. 8.8 - Prob. 21PSCh. 8.8 - Prob. 22PSCh. 8.8 - Prob. 23PSCh. 8.8 - Prob. 24PSCh. 8.8 - Prob. 25PSCh. 8.8 - Prob. 26PSCh. 8.8 - Prob. 27PSCh. 8.8 - Prob. 28PSCh. 8.8 - Prob. 29PSCh. 8.8 - Prob. 30PSCh. 8.8 - Prob. 31PSCh. 8.8 - Prob. 32PSCh. 8.8 - Prob. 33PSCh. 8.8 - Prob. 34PSCh. 8.8 - Prob. 35PSCh. 8.8 - Prob. 36PSCh. 8.8 - Prob. 37PSCh. 8.8 - Prob. 38PSCh. 8.8 - Prob. 39PSCh. 8.8 - Prob. 40PSCh. 8.8 - Prob. 41PSCh. 8.8 - Prob. 42PSCh. 8.8 - Prob. 43PSCh. 8.8 - Prob. 44PSCh. 8.8 - Prob. 45PSCh. 8.8 - Prob. 46PSCh. 8.8 - Prob. 47PSCh. 8.8 - Prob. 48PSCh. 8.8 - Prob. 49PSCh. 8.8 - Prob. 50PSCh. 8.8 - Prob. 51PSCh. 8.8 - Prob. 52PSCh. 8.8 - Prob. 53PSCh. 8.8 - Prob. 54PSCh. 8.8 - Prob. 55PSCh. 8.8 - Prob. 56PSCh. 8.8 - Prob. 57PSCh. 8.8 - Prob. 58PSCh. 8.8 - Prob. 59PSCh. 8.8 - Prob. 60PSCh. 8 - Prob. 1PECh. 8 - Prob. 2PECh. 8 - Prob. 3PECh. 8 - Prob. 4PECh. 8 - Prob. 5PECh. 8 - Prob. 6PECh. 8 - Prob. 7PECh. 8 - Prob. 8PECh. 8 - Prob. 9PECh. 8 - Prob. 10PECh. 8 - Prob. 11PECh. 8 - Prob. 12PECh. 8 - Prob. 13PECh. 8 - Prob. 14PECh. 8 - Prob. 15PECh. 8 - Prob. 16PECh. 8 - Prob. 17PECh. 8 - Prob. 18PECh. 8 - Prob. 19PECh. 8 - Prob. 20PECh. 8 - Prob. 21PECh. 8 - Prob. 22PECh. 8 - Prob. 23PECh. 8 - Prob. 24PECh. 8 - Prob. 25PECh. 8 - Prob. 26PECh. 8 - Prob. 27PECh. 8 - Prob. 28PECh. 8 - Prob. 29PECh. 8 - Prob. 30PECh. 8 - Prob. 1SPCh. 8 - Prob. 2SPCh. 8 - Prob. 3SPCh. 8 - Prob. 4SPCh. 8 - Prob. 5SPCh. 8 - Prob. 6SPCh. 8 - Prob. 7SPCh. 8 - Prob. 8SPCh. 8 - Prob. 9SPCh. 8 - Prob. 10SPCh. 8 - Prob. 11SPCh. 8 - Prob. 12SPCh. 8 - Prob. 13SPCh. 8 - Prob. 14SPCh. 8 - 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- What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?arrow_forwardIf during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.arrow_forwardThere is a rebellious group of Parisians who know how to travel by tube with minimal expenses. Instead of paying 1.9 Euro per ride (or around 53 Eur for a pass), they contribute 5-7 Eur a month to a joint fund, which covers their fines they need to pay if they are caught free riding. And RATP transport authorities estimated their losses to be approximately at around 80m Eur a year. What is known is that there are only 968 inspectors, and the tube users are checked only once every 6 weeks. You are thinking about how profitable it is to do what the Parisian group is doing and what are the chances of being caught. Define the random variable.arrow_forward
- 3. Juwan and his friend Jamie are watching their favorite tech penny stocks in the stock market. The initial value of Jamie's stock was $4.00, while Juwan's stock's initial value was $0.00. Because of some incredible turns in the market this morning, the stocks are now increasing in value. Every time Juwan's stock rises by $4.00, Jamie's stock increases by $3.00. If these stock gains remain constant throughout the day, perform the following: a. Convert this scenario into two linear equations; show both the standard form and the slope-intercept form for both equations. b. Explain how you decided to label the axes. c. What are the realistic bounds for the domain and range of today's stock gains? Explain your answer.arrow_forwardCase Switzerland: Salaries in Finance and Insurance are twice as much as the average salary. What is the total amount spent on Finance and Insurance salaries in Switzerland per year (based only on the provided information and images)? Additional Information: - Currently, it is estimated that 3% of roles could be entirely automated using the technology we have available to us now. - By 2025 this will have risen to around 35%, by 2030 it will be at 50% and by 2080 scientists are predicting advanced AI technologies will have replaced 85% of current jobs. - A more astonishing figure is the 42% of roles which could be made more efficient, more productive, and more enjoyable through automating individual tasks within the wider role. - Waste Management industry has a CHF 48 billion slaary bill in Switzerland with the highest potential for automation. - Swiss people work for an average of 20.3 hours a week when holidays are taken into account. - Switzerlands average weekly earning is CHF…arrow_forward32. In 2004 for working class people wheat was selling at an average price of Rs. 16 per 20 kg, cloth at Rs. 2 per metre, house rent Rs. 30 per house and other items at Rs. 10 per unit. By 2005 cost of wheat rose by Rs. 4 per 20 kg., house rent by Rs. 15 per house and other items doubled in price. The working class cost of living index for the year 2005 (with 2004 as base) was 160. By how much the cloth rose in price during the period? (А) Rs. 1.30 (B) Rs. 1.20 (C) Rs. 1.70 (D) Rs. 0.90arrow_forward
- Need only a handwritten solution only (not a typed one).arrow_forwardA surfboard manufacturer lost $500,000 last year during a recession. Total revenue was $5,000,000 and total variable costs were 40% of sales. The production facility ran at 50% capacity. The production manager wants to know the following: a. What is the percent capacity required to break even? b. When the economy recovers this year, if the plant runs at 100% capacity what net income could the company realize? c. There is a possibility that sales could be so strong this year that the plant may be required to run at 120% capacity by offering a lot of overtime to its production workers. This would result in total variable costs rising by 35%. On a strictly financial basis, should the production manager plan to exceed capacity or should he advise top management to freeze production at 100% capacity? Justify your answer. Answer Solution- 9a. 58.3% 9b. $2,500,000 9c. $3,100,000arrow_forwardQuestion 1 of 16 Arctic Company sells shoes for $93 each. The variable costs per shoe are $42 and the fixed costs per week are $6,170. a. Calculate the number of shoes that need to be sold every week to break even. Round up to the next whole number b. Calculate the total variable cost (TVC) at break-even volume. Round to the nearest cent c. Calculate the total revenue (TR) at break-even volume. Round to the nearest centarrow_forward
- Question 3 of 16 A manufacturing company pays $16,000 per month for rent and utilities, $43,600 for administrative salaries, $4,250 for insurance costs, and $64,200 for equipment rental. The variable costs are $31 per unit for material and $61.30 per unit for labour. It needs to manufacture and sell 4,140 units to break even. a. What is the selling price per unit? b. What is the total revenue per month to break even? Use the calculated selling price from part (a). Round to the nearest centarrow_forwardNight Shades Inc. (NSI) manufactures biotech sunglasses. These sunglasses sell for $150 each, and cost $70 each to produce. Night Shades Inc. has fixed costs of $100,000. a. Calculate Night Shades' Breakeven point. b. how much profit (loss) will Night Shades have if it sells 500 sunglasses? 4,000 sunglasses? c. Night Shades' manager expects an operating profit of $200.000. How many sunglasses must be sold to attain this profit?arrow_forwardPart 2 b. Based on the answer to part (a), at approximately what rate is consumer credit growing per year? The consumer credit is growing about $ billion per year. (Round to two decimal places as needed.) Part 3 c. Use the result from part (a) to predict the amount of consumer credit in the year 2016 The amount of consumer credit in the year 2016 will be $ billion. (Round to the nearest whole number.) Part 4 d. If this trend continues linearly, in what year will the total debt first exceed $4000 billion? Part 5 e. Find and interpret the correlation coefficient. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to four decimal places as needed.arrow_forward
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