Problem

Oscar opens a savings account which gives compound interest of $3.5 \%$ per year. He puts $£ 2000$ into it. a) How much money will Oscar have in the account after 9 years? b) How much interest will Oscar have earned from this account after 9 years? Give your answers in pounds $(£)$ to the nearest $1 \mathrm{p}$.

Solution

Step 1 :Let's use the compound interest formula: A = P(1 + r/n)^(nt)

Step 2 :Given: P = 2000, r = 0.035, n = 1, and t = 9

Step 3 :Plug these values into the formula: A = 2000(1 + 0.035/1)^(1*9)

Step 4 :Calculate the amount: A = 2725.794706514244

Step 5 :\(\boxed{2725.79}\) is the amount Oscar will have in the account after 9 years

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Source: https://solvelyapp.com/problems/30381/

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