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O Solve the following: 42x-1 = 64 (b) 81-x = 4x+2 (c) 22x + 2* – 12 = 0 %3! %3!

O Solve the following: 42x-1 = 64 (b) 81-x = 4x+2 (c) 22x + 2* – 12 = 0 %3! %3!

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Problem Set: B (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 () log2 (x – 1) – log2(x+ 3) = log2 ) (c) 22x + 2* – 12 = 0 (b) 81-x = 4x+2 (e) log, (x+ 2) – log, (x – 1) = 1 (2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduce by 10% of the reduced price. If the price of the dress after both reductions is $264, what was the original price? (3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height (in feet) is given by S(x) = 60 + 29.4x – 9.8x?, where x is in seconds. Showing all working, determine: 20 Mathematics for the Social Sciences 1, ECON1003 – Course Guide, Academic Year 2020/2021 - Semester (a) How long will it take the projectile reach its maximum height? (b) What is the highest height that the projectile can attain? (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx +c = 0 b is - whereas the product of the roots of a quadratic equation is (5) The present value that will give a future value S in 4 years with interest compounded annually varies inversely as the fourth power of 1 + r, where r is the annual interest rate. If the present value of $1525.79 gives a future value of $2000, what would be the present value of $10,000 in the future?
Transcribed Image Text:Problem Set: B (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 () log2 (x – 1) – log2(x+ 3) = log2 ) (c) 22x + 2* – 12 = 0 (b) 81-x = 4x+2 (e) log, (x+ 2) – log, (x – 1) = 1 (2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduce by 10% of the reduced price. If the price of the dress after both reductions is $264, what was the original price? (3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height (in feet) is given by S(x) = 60 + 29.4x – 9.8x?, where x is in seconds. Showing all working, determine: 20 Mathematics for the Social Sciences 1, ECON1003 – Course Guide, Academic Year 2020/2021 - Semester (a) How long will it take the projectile reach its maximum height? (b) What is the highest height that the projectile can attain? (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx +c = 0 b is - whereas the product of the roots of a quadratic equation is (5) The present value that will give a future value S in 4 years with interest compounded annually varies inversely as the fourth power of 1 + r, where r is the annual interest rate. If the present value of $1525.79 gives a future value of $2000, what would be the present value of $10,000 in the future?
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