Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working. (4 marks)
Answers
Step-by-step explanation:
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Q4: Answers – Paper 2 – November 2018
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Compound Interest – Part 1
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Question
4) Northern Bank has two types of account.
Both accounts pay compound interest.
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Ali invests £2000 in the cash savings account.
Ben invests £1600 in the shares account.
(a) Work out who will get the most interest by the end of 3 years.
You must show all your working.
[4 marks]
In the 3rd year the rate of interest for the shares account is changed to 4% per annum.
(b) Does this affect who will get the most interest by the end of 3 years?
Give a reason for your answer.
Answer:
ALI will receive more compound interest ........( From 1& 2)
compared to BEN
Step-by-step explanation:
Ali invests £2000 in cash savings account
Ben invests £1600 in share account
for Cash saving:. R=2.5 N=3 P=£2000
compound interest= P(1+R/100)^N. (Formula)
compound interest= 2000(1+2.5/100)^3
compound interest= £2153.78 ...(1)
for share account:. R=3.5 N= 3 P=£1600
compound interest= P(1+R/100)^N
compound interest= 1600(1+3.5/100)^3
compound interest= £1773.94 ..(2)
ALI will receive more compound interest ........( From 1& 2)
compared to BEN