(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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 24E
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QUESTION 5

Problem Set: B
(1) Solve the following:
(a) 42x-1 = 64
(d) In 3 – In x – In(x+ 5) = 0
(b) 81-х — 4*+2
(e) log.(x+ 2) – log,(x – 1) = 1
(c) 22x + 2x – 12 = 0
() log2(x – 1) – log2(x+ 3) = log2 |
(2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduced by
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 – 9.8x², where x is in seconds.
Showing all working, determine:
(a) How long will it take the projectile reach its maximum height?
20
Mathematics for the Social Sciences 1, ECONI003 – Course Guide, Academic Year 2020/2021 - Semester 2
(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 -
a
(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 (b) 81-х — 4*+2 (e) log.(x+ 2) – log,(x – 1) = 1 (c) 22x + 2x – 12 = 0 () log2(x – 1) – log2(x+ 3) = log2 | (2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduced by 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 – 9.8x², where x is in seconds. Showing all working, determine: (a) How long will it take the projectile reach its maximum height? 20 Mathematics for the Social Sciences 1, ECONI003 – Course Guide, Academic Year 2020/2021 - Semester 2 (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 - a (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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Publisher:
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