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(A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned between times and time t, which is I = A(t) - A(s), where s < t, if a. In = n for some positive integer n. b. In = 2" for some positive integer n. Hint: The geometric sum of k terms is Σar² = a¹=k+¹ 1-r for a constant ratio r 1. Total interest is the sum of the periodic interests, Is+1, Is+2, ..., It. I₁ + ... + Is Is+1 Is+2 It 0 A(s) S A(s+1) A(s+2) s+1 s +2 A(t-1) A(z) t-1 t

(A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned between times and time t, which is I = A(t) - A(s), where s < t, if a. In = n for some positive integer n. b. In = 2" for some positive integer n. Hint: The geometric sum of k terms is Σar² = a¹=k+¹ 1-r for a constant ratio r 1. Total interest is the sum of the periodic interests, Is+1, Is+2, ..., It. I₁ + ... + Is Is+1 Is+2 It 0 A(s) S A(s+1) A(s+2) s+1 s +2 A(t-1) A(z) t-1 t

Algebra & Trigonometry with Analytic Geometry
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 64E
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NOTE: Please answer asap. DONT REPEAT ANSWER please. The other answer was NOT HELPFUL. Thank you.
3) (A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned between time s and time t, which is I = A(t) - A(s), where s < t, if a. In = n for some positive integer n. b. In = 2" for some positive integer n. Hint: The geometric sum of k terms is Σo ar = a for a constant ratio r # 1. Total interest is the sum of the periodic interests, Is+1, Is+2,..., It. I₁+ + Is Is+1 Is+2 It 0 A(s) + S A(s+1) A(s+2) s+1 s + 2 A(t-1) t-1 t A(t) 1-pk+1 1-r
Transcribed Image Text:3) (A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned between time s and time t, which is I = A(t) - A(s), where s < t, if a. In = n for some positive integer n. b. In = 2" for some positive integer n. Hint: The geometric sum of k terms is Σo ar = a for a constant ratio r # 1. Total interest is the sum of the periodic interests, Is+1, Is+2,..., It. I₁+ + Is Is+1 Is+2 It 0 A(s) + S A(s+1) A(s+2) s+1 s + 2 A(t-1) t-1 t A(t) 1-pk+1 1-r
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