Problem #3: In a mixing vat there are initially 200 litres of volatile liquid. 1 litres of fresh liquid are added per hour, but 5% ofthe current content of the vat is lost each hour due to evaporation. How many litres of liquid are there after 4hours?Problem #3:167167Enter your answer symbolically,as in these examples

After the first hour, 1 liter of fresh liquid is added and 5% of the current content is lost due to…

Answered: Problem #3: In a mixing vat there are…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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2. You have some coins, each of which is a penny (1 cent), a nickel (5 cents), a dime (10 cents), or a quarter (25 cents). You know that • you have twice as many pennies as nickels, • the number of dimes is one more than the number of pennies and nickels combined, you have 34 coins in total, • and the total value of your coins is $2.70 (270 cents). (a) Set up a system of linear equations for the numbers of pennies, nickels, dimes, and quarters you have. (b) Determine how many coins of each type you have, by solving the system from part (a).
QUESTION 3 A wholesaler must decide how many computers to purchase before they know how many they will be able to sell to local retailers. The wholesaler purchases the computers for S300 each and sells them to retailers for $350 each. If the wholesaler is not able to sell them to a retailer then the wholesaler can return them to the manufacturer (for a refund of the S300 cost), but the wholesaler must pay $40 per computer that it returns to the manufacturer (in shipping, handling, and insurance costs). The following probability distribution describes the number of computers the wholesaler may possibly sell to local retailers: there is a 21% chance that they will sell 900 computers, a 56% chance that they will sell 1200 computers; otherwise, they will sell 1500 computers. What is the expected number of computers the wholesaler will sell? (please round your answer to 1 decimal place)
(c) In 1997, the U.S. population was approximately 266,570,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were in the system? (Round answer to whole number.) prisoners The projected U.S. population for the year 2020 is 323,738,000. If the rate of prisoners per 100,000 stays the same as in 1997, about how many prisoners do you expect will be in the system in 2020? (Round answer to whole number.) prisoners
A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…
H. Answer the following problems. 1) Marivic is five years older than Michelle. In three years, the product of her age and Michelle's age five years ago will be 90 years. Find their present ages. 2) Alyson is three years younger than her friend Joshua. In seven years, the product of their ages will be 5 more than thrice the product of their ages five years ago. How old are each at present? 3) Two pipes can fill together a small reservoir in two hours. Working alone, the first pipe can fill the reservoir in 105 minutes less time than the second pipe can. How long would each pipe need to fill the reservoir? 5) 4) Two cars started at the same place and same time towards the 90-km route. Car A traveled 1 km per hour faster than Car B and reached 1 hour before Car B. Find the rate of each car. Ivy travels 12 miles through boat until she decided to turn around and heads back to her starting point. Along the way, she passes a digital sign that indicates the river is 2 miles per hour. If…

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