Solve n=(0.95)^3(0.5)(0.5)(33)/(33)(0.05)^3+(0.95)^3(0.5)(0.5)

$$n = \frac { ( 0.95 ) ^ { 3 } ( 0.5 ) ( 0.5 ) ( 33 ) } { ( 33 ) ( 0.05 ) ^ { 3 } + ( 0.95 ) ^ { 3 } ( 0.5 ) ( 0.5 ) }$$

Solve for n

$$n = \frac{226347}{6991} = 32\frac{2635}{6991} \approx 32.376913174$$

Steps for Solving Linear Equation

Calculate 0.95 to the power of 3 and get 0.857375.

$$n=\frac{0.857375\times 0.5\times 0.5\times 33}{33\times 0.05^{3}+0.95^{3}\times 0.5\times 0.5}$$

Multiply 0.857375 and 0.5 to get 0.4286875.

$$n=\frac{0.4286875\times 0.5\times 33}{33\times 0.05^{3}+0.95^{3}\times 0.5\times 0.5}$$

Multiply 0.4286875 and 0.5 to get 0.21434375.

$$n=\frac{0.21434375\times 33}{33\times 0.05^{3}+0.95^{3}\times 0.5\times 0.5}$$

Multiply 0.21434375 and 33 to get 7.07334375.

$$n=\frac{7.07334375}{33\times 0.05^{3}+0.95^{3}\times 0.5\times 0.5}$$

Calculate 0.05 to the power of 3 and get 0.000125.

$$n=\frac{7.07334375}{33\times 0.000125+0.95^{3}\times 0.5\times 0.5}$$

Multiply 33 and 0.000125 to get 0.004125.

$$n=\frac{7.07334375}{0.004125+0.95^{3}\times 0.5\times 0.5}$$

Calculate 0.95 to the power of 3 and get 0.857375.

$$n=\frac{7.07334375}{0.004125+0.857375\times 0.5\times 0.5}$$

Multiply 0.857375 and 0.5 to get 0.4286875.

$$n=\frac{7.07334375}{0.004125+0.4286875\times 0.5}$$

Multiply 0.4286875 and 0.5 to get 0.21434375.

$$n=\frac{7.07334375}{0.004125+0.21434375}$$

Add 0.004125 and 0.21434375 to get 0.21846875.

$$n=\frac{7.07334375}{0.21846875}$$

Expand \frac{7.07334375}{0.21846875} by multiplying both numerator and the denominator by 100000000.

$$n=\frac{707334375}{21846875}$$

Reduce the fraction \frac{707334375}{21846875} to lowest terms by extracting and canceling out 3125.

$$n=\frac{226347}{6991}$$

Assign n

$$n≔\frac{226347}{6991}$$