Series Series 60
Автор: Myers Mathematics
Загружено: 2025-06-30
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60. [T] A Bank account earns 5% interest compounded monthly. Suppose that $1000 is initially deposited into the account, but that $10 is withdrawn each month.
a. Show that the amount in the account after n months is A_n = (1+.05/12)A_n-1 -10; A_0 = 1000
b. How much money will be in the account after 1 year?
c. Is the amount increasing or decreasing?
d. Suppose that instead of $10, a fixed amount d dollars is withdrawn each month. Find a value of d such that the amount in the account after each month remains $1000.
e. What happens if d is greater than this amount?
Open Stax, Calculus Volume 2, Section 5.1
This is a series on Series, one of the last topics/sections/units/chapters in Calculus 2. Stay tuned for more! Happy June!
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