# USAALS Find the Account Balance After W Months Questions

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Njvv

Mathematics

US Army Transportation and Aviation Logistics School

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3. A principal of (A) OR is deposited in an account that pays A/100 interest compounded yearly. Account balance function in response of time (years)is B(y) = [(1 + c) I: initial value c: interest compounded yearly y: time in year Hint: A is the last 3 digits in your ID, W is the first two digits in your ID and R is the last 4 digit in your ID a. Find the account balance after W months. b. Show by graphing if B(y) function is increasing or decreasing. c. After how many years the account balance will be (R) OR. (7 marks) (11 marks) (6 marks)
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3. A principal of (A) OR is deposited in an account that pays A/100 interest compounded yearly.
Account balance function in response of time (years) is π΅(π¦) = πΌ(1 + π)π¦
I: initial value, c: interest compounded yearly, y: time in year.
Hint: A is the last 3 digits in your ID, W is the first two digits in your ID and R is the last
a. Find the account balance after W months.
My ID 20s19866. Then π΄ = 866 and π = 20 ππππ‘βπ . Since the initial value will be the
principal, πΌ = π΄ = 866. Additionally, the time π must be expressed in years. We
calculate
π=

20ππππ‘βπ
1

1π¦πππ

5

β 12ππππ‘βπ  = 3 π¦ππππ .
π΄

Finally, we find πΆ = 100 = 8.66% = 0.0866. Then our account balance function is
π΅(π¦) = 866(1.0866) οΏ½...

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