4. Ensure complete steps of calculations and formula The engineers use a piecewise linear function to calculate the monthly water charge for itsresidents. The piecewise linear function, where,C = the cost of the waterthe number of thousands of litres of water51 +20,0≤1≤591,5<<10101-10,> 104)a. Sketch the graph of the function from 1-0 to 1-13 to show the relationshipbetween the litres used and the cost of water.Note: Use appropriate labelling and units.b. Use your graph to determine the monthly water charge if a consumer used,i. 3500L ii. 9000Liii. 12,500Lc. Find the equations of each line segment of the graph.(2×3 6 marks)

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Answered: The engineers use a piecewise linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose Basma wants to buy a car for $10000 and plans on paying 19 % down. (This means she is going to pay 19 % of the price up front and then will take a loan out for the rest of the purchase.) a) What is the loan amount? Amount of money borrowed = $ b) The formula for determining the payment on a loan is given by: Loan Amount * (r/n) -n*t Мonthly Payтеnt 3D (2-(1+5) r = interest rate n = payments per year t = number of years You always assume the interest is compounded every time a payment is due. So n = the number of compoundings, which is the same as the number of payments in a year. If the annual interest rate is 14.1% and it is compounded monthly, and Basma is able to pay $249 each mon th, how long will it take her to pay off the car?? You must use the formula above to answer this question and show all algebraic work. Answer = years (Round to one tenth of a year)
1. Determine the simple interest earned on each investment. a) $400 is invested at 3.5% annual simple interest for 52 weeks. b) $1200 is invested at 7% per year, simple interest, for 90 days.
A car was valued at $27,000 in the year 1991. The value depreciated to $13,000 by the year 2007.Use the compund interest formula S=P(1+r)tS=P(1+r)t to answer the following questions.A) What was the annual rate of change between 1991 and 2007?r = Round the rate of decrease to 4 decimal places.B) What is the correct answer to part A wrote in percentage form?r = %.C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2011?value = $ Round to the nearest 50 dollars.
c. Predict sales in 15 years.
3) What are retained earnings? Select an answer: the amount of money that a company earns as profit profits that are distributed to the shareholders as dividends profits that are put back into the company revenue that is used to pay taxes
Please complete #42 and #43 :)
Compute the specified quantity. A 3 year bond costs $20,000 and will pay a total of $4,000 in interest over its lifetime. What is its annual interest rate r (as a percent)? (Round your answer to three decimal places.)
10)
Assuming the general level of inflation in Ghana is 15% per year; find the number of years it will take for prices to double. The currency of Ghana is called the cedi and its symbol is like that of the U.S. cent (¢), but placed in front of the quantitative amount like the dollar symbol.
Ab 4 If Cameron and Cadena add an 18% tip to the bill after tax, what does thei lunch cost in total?
In 2001, a sum of $3000 was invested at a rate of 6.5% per year for 18 years. a) Write an equation to model this investment and use it to find the value of the investment at the end of the 18 years. b) If there needed to be $15000 at the end of the 18 years, find the approximate interest rate(to nearest tenth) that would be required to accumulate this amount.
3. A sum of money was invested at a constant interest rate compounded annually. After five years, the value of the investment is $1590.71. After fourteen years, the value of the investment is $2510.34. a) How much money was invested originally? b) Calculate the annual interest rate.

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