Miss Calledo deposited P 1,000, P 1,500 and P 2,000 at the end of the 2nd year, 3rd year and 4th year, respectively in a savings account which earned 10% per annum. How much is in the account at the end of the 4th year?
A. P 4,880.00
B. P 4,820.00
C. P 4,860.00
D. P 4,840.00
Answer: Option C
Solution(By Examveda Team)
Explanation:We can solve this problem using the future value formula for a series of deposits:
Future Value = P(1 + r)^n
Where:
P
is the deposit amountr
is the annual interest raten
is the number of yearsIn this case, Miss Calledo made three deposits:
P 1,000 at the end of the 2nd year
P 1,500 at the end of the 3rd year
P 2,000 at the end of the 4th year
Let's calculate the future value of each deposit separately and then add them up:
For the first deposit:
P1 = 1000
(the principal amount)r = 10%
(0.10 as a decimal)n = 4 - 2 = 2 years
Future Value1 =
1000 * (1 + 0.10)^2 = 1000 * (1.10)^2
For the second deposit:
P2 = 1500
n = 4 - 3 = 1 year
Future Value2 =
1500 * (1 + 0.10)^1 = 1500 * (1.10)^1
For the third deposit:
P3 = 2000
n = 4 - 4 = 0 years
Future Value3 =
2000 * (1 + 0.10)^0 = 2000 * 1
Now, add up the future values of all three deposits:
Total Future Value =
Future Value1 + Future Value2 + Future Value3
Total Future Value =
1000 * (1.10)^2 + 1500 * (1.10)^1 + 2000 * 1
Total Future Value =
1210 + 1650 + 2000
Total Future Value =
4860
So, the amount in the account at the end of the 4th year is P 4,860.00. Therefore, the correct answer is Option C.
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Comments ( 1 )
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