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 𝐡(𝑦) = 𝐼(1 + 𝑐)𝑦
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 digits in your ID
a. Find the account balance after W months.
My ID 20s19866. Then 𝐴 = 866 and π‘Š = 20 π‘šπ‘œπ‘›π‘‘β„Žπ‘ . Since the initial value will be the
principal, 𝐼 = 𝐴 = 866. Additionally, the time π‘Š must be expressed in years. We
calculate
π‘Š=

20π‘šπ‘œπ‘›π‘‘β„Žπ‘ 
1

1π‘¦π‘’π‘Žπ‘Ÿ

5

βˆ— 12π‘šπ‘œπ‘›π‘‘β„Žπ‘  = 3 π‘¦π‘’π‘Žπ‘Ÿπ‘ .
𝐴

Finally, we find 𝐢 = 100 = 8.66% = 0.0866. Then our account balance function is
𝐡(𝑦) = 866(1.0866) οΏ½...


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