Help with income raise problem, possible exponential problem?

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SUMMARY

The discussion centers on calculating future income based on a starting salary of $60,000 with an annual increase of 7% over ten years. The correct approach involves using the formula for exponential growth, specifically the equation for compound interest: Future Value = Present Value * (1 + rate)^time. The user mistakenly attempts a linear calculation, which does not accurately reflect the compounding nature of salary increases. The exponential formula will yield the correct income for the tenth year.

PREREQUISITES
  • Understanding of exponential growth and compound interest formulas
  • Familiarity with basic algebra and equations
  • Knowledge of salary progression and financial calculations
  • Basic calculus concepts related to growth rates
NEXT STEPS
  • Study the compound interest formula in finance
  • Learn how to apply exponential functions in real-world scenarios
  • Explore salary progression models in career planning
  • Review calculus concepts related to growth rates and their applications
USEFUL FOR

Students in engineering or mathematics, financial analysts, and anyone interested in understanding salary growth over time through exponential functions.

calcunoob
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Homework Statement



Hi,
This is probably an easy equation and I know this is the pre-cal section and this is for my engineering math class but I feel like people in a pre-cal forum should be able to help! I'm writing an essay for my engineering math class and I am trying to calculate the income I will be earning by my tenth year of working. If my starting salary is $60,000 and that salary increases at a rate of 7% per year for ten years, what would my income be in the tenth year? THE ANSWER IS NOT 60,000 * .07x + 60,000! That's not what I'm looking for because you don't only get 60,000 plus 7% of 60,000 every year, if that makes sense... I think this may be an exponential equation but I'm not sure. I feel like an idiot because I'm in calculus too but for whatever reason I can't figure this out >.< Thank you!

Homework Equations



It's NOT 60,000 + (60,000 * .07x), I believe the answer will be an exponential equation.

The Attempt at a Solution



60,000 + (60,000 * .07x) <--- Not the right equation. Haha
 
Last edited:
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Please help :( lol
 
calcunoob said:
Please help :( lol

OK. If you earn $60,000 in Year 1, what do you earn in Year 2? What do you earn in Year 3? Keep going.

RGV
 

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