Solve A=p(1+r/n)^nttext{when}p=100,r=0.04,n=1,t=3

$$A = p ( 1 + \frac { r } { n } ) ^ { n t } \text { when } p = 100 , r = 0.04 , n = 1 , t = 3$$

Solve for A, p, r, n, t

$$r=0.04$$

$$t=3$$

$$A=112.4864$$

$$p=100$$

$$n=1$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$A=100\left(1+\frac{0.04}{1}\right)^{1\times 3}$$

Anything divided by one gives itself.

$$A=100\left(1+0.04\right)^{1\times 3}$$

Add 1 and 0.04 to get 1.04.

$$A=100\times 1.04^{1\times 3}$$

Multiply 1 and 3 to get 3.

$$A=100\times 1.04^{3}$$

Calculate 1.04 to the power of 3 and get 1.124864.

$$A=100\times 1.124864$$

Multiply 100 and 1.124864 to get 112.4864.

$$A=112.4864$$

The system is now solved.

$$A=112.4864 p=100 r=0.04 n=1 t=3$$