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George, Matthew and Isabelle invest money in a savings account, which pays compound interest of 3% p.A

Sagot :

The question is incomplete. The complete question is :

George, Matthew and Isabelle invest money in a savings account, which pays compound interest of 3% p.a.

a). George invested £ 4800. Work out the total value of his investment after 5 years.

Solution :

It is given that :

George invested amount of, P = £ 4800

Time of investment, t = 5 years

Rate of interest, r = 3 % p. a.

The total value will be :

[tex]$A=P(1+\frac{r}{100})^t$[/tex]

[tex]$A=4800(1+\frac{3}{100})^5$[/tex]

[tex]$A=4800\times (1.03)^5$[/tex]

[tex]A = 4800 \times 1.1592[/tex]

   = 5564.16

Therefore the total value after 5 years = £ 5564.16