Solve A=p(1+r/n)^nttext{when}p=200,r=0.07,n=1,t=3

$$A = p ( 1 + \frac { r } { n } ) ^ { n t } \text { when } p = 200 , r = 0.07 , n = 1 , t = 3$$

Solve for A, p, r, n, t

$$r=0.07$$

$$t=3$$

$$A=245.0086$$

$$p=200$$

$$n=1$$

Solution Steps

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

$$A=200\left(1+\frac{0.07}{1}\right)^{1\times 3}$$

Anything divided by one gives itself.

$$A=200\left(1+0.07\right)^{1\times 3}$$

Add 1 and 0.07 to get 1.07.

$$A=200\times 1.07^{1\times 3}$$

Multiply 1 and 3 to get 3.

$$A=200\times 1.07^{3}$$

Calculate 1.07 to the power of 3 and get 1.225043.

$$A=200\times 1.225043$$

Multiply 200 and 1.225043 to get 245.0086.

$$A=245.0086$$

The system is now solved.

$$A=245.0086 p=200 r=0.07 n=1 t=3$$