Math

QuestionCalculate Jamie's maximum 401k contribution and the company match based on a salary of \$54,000 with a 12\% contribution limit.

Studdy Solution

STEP 1

Assumptions1. Jamie's annual salary is $54,000. The company matches up to4% of Jamie's salary3. Jamie can contribute up to12% of his salary to his401k

STEP 2

First, we need to find out how much Jamie's employer will contribute. We can do this by multiplying Jamie's salary by the company's match rate.
Employercontribution=SalarytimesEmployermatchrateEmployer\, contribution = Salary \\times Employer\, match\, rate

STEP 3

Now, plug in the given values for the salary and the employer match rate to calculate the employer contribution.
Employercontribution=$54,000times%Employer\, contribution = \$54,000 \\times\%

STEP 4

Convert the percentage to a decimal value.
4%=0.044\% =0.04Employercontribution=$54,000times0.04Employer\, contribution = \$54,000 \\times0.04

STEP 5

Calculate the employer contribution.
Employercontribution=$54,000times0.04=$2,160Employer\, contribution = \$54,000 \\times0.04 = \$2,160

STEP 6

Next, we need to find out how much Jamie can contribute to his401k. We can do this by multiplying Jamie's salary by the maximum contribution rate.
Jamiescontribution=SalarytimesMaximumcontributionrateJamie's\, contribution = Salary \\times Maximum\, contribution\, rate

STEP 7

Now, plug in the given values for the salary and the maximum contribution rate to calculate Jamie's contribution.
Jamiescontribution=$54,000times12%Jamie's\, contribution = \$54,000 \\times12\%

STEP 8

Convert the percentage to a decimal value.
12%=0.1212\% =0.12Jamiescontribution=$54,000times0.12Jamie's\, contribution = \$54,000 \\times0.12

STEP 9

Calculate Jamie's contribution.
Jamiescontribution=$54,000times.12=$6,480Jamie's\, contribution = \$54,000 \\times.12 = \$6,480

STEP 10

Now that we have both the employer contribution and Jamie's contribution, we can find the total amount that will be added to Jamie's401k in a year. This is the sum of the employer contribution and Jamie's contribution.
Total401kcontribution=Employercontribution+JamiescontributionTotal\,401k\, contribution = Employer\, contribution + Jamie's\, contribution

STEP 11

Plug in the values for the employer contribution and Jamie's contribution to calculate the total401k contribution.
Total401kcontribution=$,160+$6,480Total\,401k\, contribution = \$,160 + \$6,480

STEP 12

Calculate the total401k contribution.
Total401kcontribution=$2,160+$6,480=$8,640Total\,401k\, contribution = \$2,160 + \$6,480 = \$8,640Jamie's401k will increase by $8,640 in a year.

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