Anita opens a savings account. At the start of cach month she deposits SX into the savings account. At the end of each month, after interest is added into the savings account, the bank withdraws $2500 from the savings account as a loan repayment. Let M be the amount in the savings account after the n withdrawal. The savings account pays interest of 4.2% per annum compounded monthly. Show that after the second withdrawal the amount in the savings account is given by (i) M = X(1.0035+ 1.0035)-2500(1.0035 + %3D (ii) Find the value of X so that the amount in the savings account is $80 000 after the last withdrawal of the fourth year.

Intermediate Accounting: Reporting And Analysis
3rd Edition
ISBN:9781337788281
Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach
Publisher:James M. Wahlen, Jefferson P. Jones, Donald Pagach
ChapterM: Time Value Of Money Module
Section: Chapter Questions
Problem 4MC: Refer to the present value table information on the previous page. What amount should Brett have in...
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Anita opens a savings account. At the start of each month she deposits SX into
the savings account. At the end of each month, after interest is added into the
savings account, the bank withdraws $2500 from the savings account as a loan
repayment. Let M be the amount in the savings account after the n" withdrawal.
The savings account pays interest of 4.2% per annum compounded monthly.
(i) Show that after the second withdrawal the amount in the savings account
is given by
M = X(1.0035 + 1.0035)- 2500(1.0035 + 1).
%3D
(ii) Find the value of X so that the amount in the savings account is $80 000
after the last withdrawal of the fourth year.
Transcribed Image Text:Anita opens a savings account. At the start of each month she deposits SX into the savings account. At the end of each month, after interest is added into the savings account, the bank withdraws $2500 from the savings account as a loan repayment. Let M be the amount in the savings account after the n" withdrawal. The savings account pays interest of 4.2% per annum compounded monthly. (i) Show that after the second withdrawal the amount in the savings account is given by M = X(1.0035 + 1.0035)- 2500(1.0035 + 1). %3D (ii) Find the value of X so that the amount in the savings account is $80 000 after the last withdrawal of the fourth year.
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