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Solve the Following Equation for X to Five-figure Accuracy.(Do Not Round Intermediate Calculations. Round Your Answer to 2 Decimal

Question

Solve the following equation for x to five-figure accuracy.(Do not round intermediate calculations. Round your answer to 2 decimal places.) 4x(1.11^5)+(x)/(1.11^3)+x=( 3,300)/(1.11^2) x= square

Solution

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Answer

### $387.97

Explanation

## Step 1: Simplify the equation### Divide both sides of the equation by : 3300/1.11^2 4x(1.11^3) + x/(1.11^5) + x/1.11^2 = \ ## Step 2: Calculate the powers of 1.11### Calculate the values of , and : ## Step 3: Substitute the calculated values### Substitute the calculated values into the simplified equation: 3300}{1.2321} 5.470524x + 0.620921x + 0.811622x = \ ## Step 4: Combine the x terms### Combine the coefficients of x: ## Step 5: Solve for x### Divide both sides by the coefficient of x: 2678.23}{6.903067} x = \ ## Step 6: Round to two decimal places### Round the value of x to two decimal places: 387.97$