Find amount if P=$2400, R%=5%pa, time period = 3 years compounded annually
Answers
Answer:
360
Step-by-step explanation:
5% of 2400 = 2400×5/100 = 120
For three years , it will be 120 × 3 = 360
= TOTAL 2760.
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Given :-
- P = $ 2400
- R = 5% per annum
- Time period = 3 years compounded annually .
To Find :-
- Amount = ?
Formula used :- when rate is compounded annually ,
- A = P[1 + (R/100)]ᵀ
- A = Amount .
- P = Principal .
- R = Rate of interest per annum .
- T = Time .
Solution :-
Let us assume that, amount recieved is $ A .
So,
→ A = P[1 + (R/100)]ᵀ
putting all given values ,
→ A = 2400[1 + (5/100)]³
→ A = 2400[1 + (1/20)]³
→ A = 2400(21/20)³
→ A = 2400 × (21/20) × (21/20) × (21/20)
→ A = 2400 × (9261/8000)
→ A = $2778.30 (Ans.)
Hence, required amount is equal to $2778.30 .
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