GLDetermine, giving reasons for EACH of your answers, the value of(i)x(ii)y(iii)W4.Year19901991Cost ($)10.000 30.000199236.000 30.0001993199434.000199550 000(b)(a)(TotalThe table above shows the cost of a plot of land over a period of time.(a)Calculate the mean cost of a plot of land over the period from 1990 to 1995 to thenearest thousands of dollars.(b)(i)On a graph page, using a scale of 2 cm to 1 year on the horizontal axis and 1 cmto represent $ 10 000 on the vertical axis, draw a line graph to represent the data.From your graph:(ii)(iii)Determine the period during which the cost of the plot of land showed the greatestincrease.State the year during which the cost of the plot of land decreased.The function fis defined as2x + 7f(x)5(i)Find the value of f(4) + f(-4).(ii)a)Calculate the value of x for which f(x) = 9.b)Hence or otherwise, determine the value of f'(9).TThe graph below shows two straight lines, L, and L2. L₁ intercepts the x and y axes at (4,0and (0, 2) respectively. L2 intercepts the x and y axes at (1.5, 0) and (0, - 3) respectively.

4. (a) Calculate the mean cost...To calculate the mean cost of the values on the table, you just…

Answered: G L Determine, giving reasons for EACH…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 72E

See similar textbooks

Question

G
L
Determine, giving reasons for EACH of your answers, the value of
(i)
x
(ii)
y
(iii)
W
4.
Year
1990
1991
Cost ($)
10.000 30.000
1992
36.000 30.000
1993
1994
34.000
1995
50 000
(b)
(a)
(
Total
The table above shows the cost of a plot of land over a period of time.
(a)
Calculate the mean cost of a plot of land over the period from 1990 to 1995 to the
nearest thousands of dollars.
(b)
(i)
On a graph page, using a scale of 2 cm to 1 year on the horizontal axis and 1 cm
to represent $ 10 000 on the vertical axis, draw a line graph to represent the data.
From your graph:
(ii)
(iii)
Determine the period during which the cost of the plot of land showed the greatest
increase.
State the year during which the cost of the plot of land decreased.
The function fis defined as
2x + 7
f(x)
5
(i)
Find the value of f(4) + f(-4).
(ii)
a)
Calculate the value of x for which f(x) = 9.
b)
Hence or otherwise, determine the value of f'(9).
T
The graph below shows two straight lines, L, and L2. L₁ intercepts the x and y axes at (4,0
and (0, 2) respectively. L2 intercepts the x and y axes at (1.5, 0) and (0, - 3) respectively.

Expert Solution

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

1 The manufacturer's price for a Jinko car is $x Ben was given a 7% discount on the manufacturer's price when he bought a Jinko. Ben paid $23 622 when he bought his Jinko. (a) Calculate the value of x. (2) After a year Ben sold his Jinko for $19880 (b) Calculate the percentage loss, to 3 significant figures, on the price Ben paid for his Jinko. (2) During the year that Ben owned the Jinko, he travelled d km in the car. The average fuel consumption of the car was 10km per litre. The average cost of the fuel he used was $1.40 per litre. Other costs for the car in the year came to $938 The cost per km, including the loss in value, of his Jinko to Ben during the year that he owned the car was $0.40 (c) Calculate the value of d. (4)
Analyze the scenario and complete the following: i. Complete the discrete probability distribution for the given variable. ii. Calculate the expected value and variance of the discrete probability distribution. The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize of $4,000, 10 first prizes of $250, 30 second prizes of $100, and 55 third prizes of $30. i. X P(x) 0 0.0000 30 0.0000 Round probabilities to 4 decimal places 100 0.0000 250 0.0000 4,000 0.0000
(111) the publisher's net profit, correct to one decimal place. 9. The price of an article is £6,000.00. It is made up as follows: Cost of materials Cost of manufacture 50%: And the rest is profit. If the cost of materials falls by 10% and the cost of manufacture increases by 10% but the price remains the same. 20%: (a) find (i) the new profit (ii) the percentage change in profit3; (b) find the new price of the article if the original profit is maintained.
2. The local community hall is hired out at a rate of $20 per hour plus a fee of $60 for cleaning. (a) Write a formula relating total cost of hiring the hall to the number of hours required. Be sure to carefully define all variables that you use. (b) Complete the following table of values for the costs to hire the hall for the hours given Hours Required 1 2 3 4 Cost of Hall ($) (c) Plot the values from the table on a graph and draw a trend line. (d) Use your graph to determine the cost of hiring the hall for 4.5 hours. (e) If your group has only budgeted for a total of $130 for how long could they hire the hall?
. A certain plant grows of an inch for 4 1 of the year. At this rate, how many years will it take the plant to grow 6 inches? (B) 4 (C)응 (D) 6 (E)9 4
2. The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200 bacteria placed in the Petri dish, which function can be used to determine the number of bacteria in the Petri dish in y = 200 (0.82)* exactly x hours? y = 200 (1.18)" y = 200 (1.82)* 200 (0.18)"
c) If the price of the product is increased from 3.50 to 4.20 (a 20% increase): (1) Will the revenue from selling the products go up or down? UP/ DOWN (Circle one) (ii) Will the demand for the products go up or down? UP / DOWN (Circle one) By about what percentage?. _%
33. A family invested $2,000 into an account that pays 2% interest compounded annually. In the functions below, x = time in years and y = total amount in the account after x years. %3D y= 40x +2,000 y = 2,000(1.02) Use the function that models the situation correctly. To the nearest dollar, how much money is in the family's account after 5 years? A. $2,081 В. $2,200 C. $2,208 D. $10,200 E34-3 F7 FB & 4 7 8 T Y U F G H J K C V B NM 立 LU
. 5. Solve xdx + ydy = xdy - ydx %3D
[A: 3] 2. What is the simple interest rate per annum if you incurred interest of $60 over 8 months if you borrowed $2500 from Credit Mart? [A: 3] 3. Zane earned $100 when placing $400 in his bank account after a certain number of years at an interest rate of 2.5% per year, earning simple interest. Determine [A: 3] how long his money was invested for.
Purchasing Power If a retired couple has a fixedincome of $60,000 per year, the purchasing powerof their income (adjusted value of the money) aftert years of 5% inflation is given by the equationP = 60,000e-0.05t. In how many years will thepurchasing power of their income fall below half oftheir current income?
A universal life policy is issued to a life aged 45. Death benefit is 10,000 and the policyholder pays an annual premium of 200 at the beginning of each year. Expense charges are 30% of first year premium and 5% of renewal premiums. Interest credited is 6% per year and interest assumed in the cost of insurance is 4% per year. Cost of insurance is based on Makeham's mortality, H = 0.01+0.0001(1.05*). The account value at the beginning of the 7th year, before any premium is paid, is 1,500. Calculate, to the nearest integer, the account value at the end of the 7th year.

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS