please tell the answer of question 7
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Hi there,
This is an example:
To find compound interest when interest is compounded quarterly, we use the following formula :
A = P ( 1 + R/4 )4n and C.I. = A – P
Where, P = Principal
R = Rate of interest p.a (per annum i.e annually)
n = number of years.
Examples :
1) Find the compound interest on $320,000 for one year at the rate of 20% p.a., if the interest rate is compounded quarterly.
Solution:
Here, P = $320,000, R = 20% p.a. and n = 1 year.
∴ Amount after 1 year = P ( 1 + R/4 ) 4n
= 320,000 x ( 1 + 0.20/4 ) 4 x 1
= 320,000 x ( 1 + 0.05) 4
= 320,000 x (1.05 ) 4
= 320,000 x 1.21550
= Rs. 388,962
∴ Compound interest = 388,962 – 320,000 = 68,962
________________________________________________________________
2)Ryan deposited $ 7500 in a bank which pays him 12% interest p.a. compounded quarterly. What is the amount which he receives after 9 months?
Solution:
Here, P = $ 7500, R = 12% p.a. and n = 9 months = 9/12 year = 3/4 year
∴ Amount after 9 months = P ( 1 + R/100 ) 4n
= 7500 x ( 1 + 0.12/4 ) 4n
= 7500 x ( 1 + 0.03 ) 4 x 3/4
= 7500 x ( 1.03) 3
= 7500 x 1.092727
= $ 8195.45
________________________________________________________________
3)Jacob deposited $ 9000 in a bank which pays him 8% interest p.a. compounded quarterly. What is the amount which he receives after 6 months?
Solution:
Here, P = $ 9000, R = 8% p.a. and n = 6 months = 6/12 year = 1/2 year
∴ Amount after 6 months = P ( 1 + R/100 ) 4n
= 9000 x ( 1 + 0.08/4 ) 4 x 1/2
= 9000 x ( 1 + 0.02 ) 2
= 9000 x ( 1.02) 2
= 9363.6
= $ 9363.60
This is an example:
To find compound interest when interest is compounded quarterly, we use the following formula :
A = P ( 1 + R/4 )4n and C.I. = A – P
Where, P = Principal
R = Rate of interest p.a (per annum i.e annually)
n = number of years.
Examples :
1) Find the compound interest on $320,000 for one year at the rate of 20% p.a., if the interest rate is compounded quarterly.
Solution:
Here, P = $320,000, R = 20% p.a. and n = 1 year.
∴ Amount after 1 year = P ( 1 + R/4 ) 4n
= 320,000 x ( 1 + 0.20/4 ) 4 x 1
= 320,000 x ( 1 + 0.05) 4
= 320,000 x (1.05 ) 4
= 320,000 x 1.21550
= Rs. 388,962
∴ Compound interest = 388,962 – 320,000 = 68,962
________________________________________________________________
2)Ryan deposited $ 7500 in a bank which pays him 12% interest p.a. compounded quarterly. What is the amount which he receives after 9 months?
Solution:
Here, P = $ 7500, R = 12% p.a. and n = 9 months = 9/12 year = 3/4 year
∴ Amount after 9 months = P ( 1 + R/100 ) 4n
= 7500 x ( 1 + 0.12/4 ) 4n
= 7500 x ( 1 + 0.03 ) 4 x 3/4
= 7500 x ( 1.03) 3
= 7500 x 1.092727
= $ 8195.45
________________________________________________________________
3)Jacob deposited $ 9000 in a bank which pays him 8% interest p.a. compounded quarterly. What is the amount which he receives after 6 months?
Solution:
Here, P = $ 9000, R = 8% p.a. and n = 6 months = 6/12 year = 1/2 year
∴ Amount after 6 months = P ( 1 + R/100 ) 4n
= 9000 x ( 1 + 0.08/4 ) 4 x 1/2
= 9000 x ( 1 + 0.02 ) 2
= 9000 x ( 1.02) 2
= 9363.6
= $ 9363.60
SJ31:
your answer is not relevant
you have not taken the same values. so it is difficult for me to understand
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your answer is in photo
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