A bank pays continuous compounded interest. Sue deposits $100 in the account, and in 5 years she has $120. Write and solve the differential equation for A(t), the amount of money in Sue's account at time t. O A(t) = 100e(0.035)t %3D O A(t) = 100e(-0.035)t О Al) — 100е(1.2)+ О A) — 1.2e(0.035)4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A bank pays continuous compounded interest. Sue deposits $100 in the account, and in 5 years she has $120.
Write and solve the differential equation for A(t), the amount of money in Sue's account at time t.
O A(t) = 100e(0.035)t
O A(t) = 100e(-0.035)t
O (t)= 100e(1.2)t
O A(t) = 1.2e(0.035)t
Transcribed Image Text:A bank pays continuous compounded interest. Sue deposits $100 in the account, and in 5 years she has $120. Write and solve the differential equation for A(t), the amount of money in Sue's account at time t. O A(t) = 100e(0.035)t O A(t) = 100e(-0.035)t O (t)= 100e(1.2)t O A(t) = 1.2e(0.035)t
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