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
4
(158 Votes)
Garrett
Veteran ยท Tutor for 11 years
Answer
### $387.97
Explanation
## Step 1: Simplify the equation### Divide both sides of the equation by
:
3300/1.11^2
4x(1.11^3) + x/(1.11^5) + x/1.11^2 = \
## Step 2: Calculate the powers of 1.11### Calculate the values of
,
and
:
## Step 3: Substitute the calculated values### Substitute the calculated values into the simplified equation:
3300}{1.2321}
5.470524x + 0.620921x + 0.811622x = \
## Step 4: Combine the x terms### Combine the coefficients of x:
## Step 5: Solve for x### Divide both sides by the coefficient of x:
2678.23}{6.903067}
x = \
## Step 6: Round to two decimal places### Round the value of x to two decimal places:
387.97$