Respuesta :

Answer:

[tex]A=\£12.362.70[/tex]

Step-by-step explanation:

The complete question is

Mary invests £12000 in a saving account. The account pays 1.5% compound interest per year. Work out the value of her investment after 2 years.

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=2\ years\\ P=\£12,000\\ r=1.5\%=1.5/100=0.015\\n=1[/tex]  

substitute in the formula above

[tex]A=12,000(1+\frac{0.015}{1})^{1*2}[/tex]  

[tex]A=12,000(1.015)^{2}[/tex]  

[tex]A=\£12.362.70[/tex]