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Suppose that Saul has money in a savings account that pays him interest of 5% per year on the account balance. Now, Saul takes out $50 a month for various frivolities, and his mother secretly deposits $240 every 6 months into his savings account. Assuming that interest is paid and money is deposited and withdrawn from the account in a continuous fashion, the balance B = B(t) (in dollars) remaining in Saul's savings account at time t (in months) is best modeled by the differential equation: A. at dB = 0.05B-10 B. dt C. dt 器 D. dt = dB E. dt 0.05B-10 12 0.05B 12 = -- 190 0.05B 12 - 50 = 0.05B-120

Suppose that Saul has money in a savings account that pays him interest of 5% per year on the account balance. Now, Saul takes out $50 a month for various frivolities, and his mother secretly deposits $240 every 6 months into his savings account. Assuming that interest is paid and money is deposited and withdrawn from the account in a continuous fashion, the balance B = B(t) (in dollars) remaining in Saul's savings account at time t (in months) is best modeled by the differential equation: A. at dB = 0.05B-10 B. dt C. dt 器 D. dt = dB E. dt 0.05B-10 12 0.05B 12 = -- 190 0.05B 12 - 50 = 0.05B-120

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 71E
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Suppose that Saul has money in a savings account that pays him interest of 5% per year on the account balance. Now, Saul takes out $50 a month for various frivolities, and his mother secretly deposits $240 every 6 months into his savings account. Assuming that interest is paid and money is deposited and withdrawn from the account in a continuous fashion, the balance B = B(t) (in dollars) remaining in Saul's savings account at time t (in months) is best modeled by the differential equation: A. at dB = 0.05B-10 B. dt C. dt 器 D. dt = dB E. dt 0.05B-10 12 0.05B 12 = -- 190 0.05B 12 - 50 = 0.05B-120
Transcribed Image Text:Suppose that Saul has money in a savings account that pays him interest of 5% per year on the account balance. Now, Saul takes out $50 a month for various frivolities, and his mother secretly deposits $240 every 6 months into his savings account. Assuming that interest is paid and money is deposited and withdrawn from the account in a continuous fashion, the balance B = B(t) (in dollars) remaining in Saul's savings account at time t (in months) is best modeled by the differential equation: A. at dB = 0.05B-10 B. dt C. dt 器 D. dt = dB E. dt 0.05B-10 12 0.05B 12 = -- 190 0.05B 12 - 50 = 0.05B-120
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