Chi Tang, a business person from Taiwan, deposits 25,000 yuan in a mutual fund with bonds managed by Bank of America that is expected to pay 6% compounded semiannually. Find the balance in the account after 4 years

Respuesta :

Answer:

[tex]A\text{ = 31,669.25 Yuan}[/tex]

Explanation:

Here, we want to get the balance in the account after 4 years

Mathematically, we use the compound interest formula to get this:

[tex]A\text{ = P(1 +}\frac{r}{n})^{nt}[/tex]

where A is t6he account balance after the tenor

P is the amount deposited which is 25,000 yuan

r is the interest rate which is 6% = 6/100 = 0.06

n is the number of times interest is compounded yearly. Since it is semi-annual, then it is 2 times

n is the number of years which is 4

We proceed to substitute the values into the equation above as follows:

[tex]\begin{gathered} A\text{ = 25000(1 + }\frac{0.06}{2})^8 \\ A\text{ = 31,669.25 Yuan} \end{gathered}[/tex]

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