Respuesta :

Answer:

The principal amount is $22.747.95

Step-by-step explanation:

Given:

Amount = %25000

Time = 3 years

Rate of interest = 3.2%

To Find:

the principal amount = ?

Solution:

The principal amount

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

Where

A is the amount

n  is the number of times that interest is compounded per unit t

t is the number of years

r is the rate of interest

On substituting the values

[tex]P = \frac{25000}{(1 + \frac{\frac{3.2}{100}}{1})^{1(3)}}[/tex]

[tex]P = \frac{25000}{(1 + \frac{0.032}{1})^{1(3)}}[/tex]

[tex]P = \frac{25000}{(1 + 0.032)^3}[/tex]

[tex]P = \frac{25000}{(1.032)^3}[/tex]

[tex]P = \frac{25000}{1.099}[/tex]

[tex]P =\$22.747.95[/tex]