a. Solve the simultaneous equations ar = 12, ar 5 = 3072 (there are two possible answers).

Question:

a. Solve the simultaneous equations ar = 12, ar⁵ = 3072 (there are two possible answers).

b. In each case, find the sum of the first ten terms of the geometric progression with first term a and common ratio r.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics

ISBN: 9781510421646

1st Edition

Authors: Val Hanrahan, Jeanette Powell

See More Books

Question Posted: Sep 03, 2021 01:35 AM

See More Questions

Find the sum of the first ten terms of the series. arithmetic; a 1 = -43, d = 12
Find the sum of the first ten terms of the series. Geometric; a 1 = 5, r = -2
In each case find an elementary matrix E such that B = EA. (a) (b) (c) (d) (e) (f) 2 3 -1 2 0 1 1-2 1-43 2 3 2 1 2
An electron experiences the greatest force as it travels 2.9 X 106 m/s in a magnetic field when it is moving north-ward. The force is upward and of magnitude 7.2 X 10-13N. What are the magnitude and...
A 71.2-g sample of oxalic acid, H2C2O4, was dissolved in 1.00 L of solution. How would you prepare 1.00 L of 0.150 M H2C2O4 from this solution?
Ryan Company reports net income of $5,125 for the year ended December 31, 2007, its first year of operations. On January 3, 2007, the company issued 9,000 shares of common stock . On August 1, 2007...
Assign trucks to delivery routes so that total costs are minimized, given the cost data shown. What is the total cost? ROUTE A B C D E 1 4 5 9 8 7 2 6 4 8 3 5 Truck 3 7 3 10 4 6 4 5 2 5 5 8 5 6 5 3 4...
Refer to the Auditing in Practice feature What Was He Thinking? An Example of Poor Professional Judgment and Low Audit Quality. a. Briefly explain the common themes indicating poor professional...
The newspaper advertisement of a new securities issue is called a: a. letter of comment. b. registration statement. c. prospectus. d. tombstone. e. red herring
You are the managerial accountant at Reliable Company. You have been assigned to support the marketing department and manage its master budget. The marketing department is responsible for the...
Following knee surgery, Adankwo has to do squats as part of her physiotherapy programme. Each day she must do 4 more squats than the day before. On the eighth day she did 31 squats. Calculate how...
a. Simplify (1 + t) 3 (1 t) 3 . b. Show that x 3 y 3 = (x y)(x 2 + xy + y 2 ). c. Substitute x = 1 + t and y = 1 t in the result in part b and show that your answer is the same as that for part...
Bell Farm and Garden Equipment Co. reported the following information for Year 1: Selected information from the balance sheet as of December 31, Year 1, follows: Assume that a major customer returned...
20 of 30 Operational, organizational, historical, and custom are all types of need to check on a daily basis as a system administrator. that you'll reporting logging monitoring
Consider each of the 3 definitions of "Health" below: 1) "a state of complete physical, mental, and social well-being and not merely the absence of disease or infirmity". (WHO) 2) "the ability to...
What is the expected FY24 accounts receivable amount and the net plant & equipment amount? Sales Cost of Goods Sold Other Expenses Depreciation Taxable Income Taxes (21%) Net Income FY23 Income...
Using research literature in project management, explain the differences between traditional project management from a tactical and strategic perspective. What are the short-term differences? What...
The expected value for a question was: E(X) = ( 1 / t h e t a ) ( ( e 5 6 ) / ( and 5 1 ) ) Using the E(X) above, comapre this expected value with the expected value of the Expo(theta) distribution,...
I recently discovered a great new tool called Google Finance. Using Google Finance with the Google spreadsheet makes it possible to look up all kinds of data on mutual funds. So, of course I...
Solve each problem. Find the coordinates of the points of intersection of the line y = 2 and the circle with center at (4, 5) and radius 4.
The sum of the first n terms, S n , of a particular arithmetic progression is given by S n = n/12(4n + 5). Find an expression for the nth term.
a. Given that (x 2 + 4/x) 3 (x 2 4/x) 3 = ax 3 + b/x 3 , find the value of a and the value of b. b. Hence, without using a calculator, find the exact value of (2 + 4/2) 3 (2 4/2) 3 .
a. The sixth term of an arithmetic progression is 35 and the sum of the first ten terms is 335. Find the eighth term. b. A geometric progression has first term 8 and common ratio r. A second...
Year-to-date, Yum Brands had earned a 3.70 percent return. During the same time period, Raytheon earned 4.58 percent and Coca-Cola earned 0.53 percent. If you have a portfolio made up of 40 percent...
Rate of Return If State Occurs State of Probability of Economy State of Economy Stock A Stock B Stock C Boom .15 .31 .41 .21 Good .60 .16 .12 .10 Poor .20 .03 .06 .04 Bust .05 .11 .16 .08 a. Your...
An investor wants to purchase a zero coupon bond from Timberlake Industries today. The bond will mature in exactly 5.00 years with a redemption value of $1,000. The investor wants a 12.00% annual...

a. Solve the simultaneous equations ar = 12, ar 5 = 3072 (there are two possible answers).

Question:

Step by Step Answer:

a The two possible answers for the simultaneous equations ar 12 and ar5 3072 are ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics

Students also viewed these Sciences questions