Question

in how many years rs 4000 will amount to 14400 at 10% per annum compound interest payable quaterly?​

Answer 1

Answer:

HOPE IT HELPS. !!!!!.

Step-by-step explanation:

We know the formula,

A=P(1+

n

r

)

n.t

Where,

A= total amount

P= principal or amount of money deposited,

r= annual interest rate

n= number of times compounded per year

t= time in years

Given:

P= Rs. 4000,r=10%,n=4 and t=5 years

∴A=4000(1+

4

0.1

)

4×5

⇒A=4000×1.025

20

⇒A=4000×1.638616

∴A= Rs. 6554.46

Answer 2

Answer:

here p = rs.4000, A = rs 14400 rate= 10% p.a.= 2.5% quarterly

Using this formula, A= p[1+r/100] *t , we have

14400 = 4000 (1+2.5/100)* t

14400/4000 = (1.025)* t

3.6 = (1.025)* t

taking logarithms on both sides, we have

log 3.6 = t log 1. 025

0.5564 = t × 0.0107

t = 0.5564/0.0107

= 52 quarters

:. number of years = 13