Calculating Investment Growth: $5,000 to $7,500 at 8% Interest

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Discussion Overview

The discussion revolves around calculating the time required for an investment of $5,000 to grow to $7,500 at an interest rate of 8%, considering both semiannual compounding and continuous compounding. The focus is on applying different interest formulas to derive the answer.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant asks how many years it will take for the investment to grow, specifying both semiannual and continuous compounding.
  • Another participant suggests using the formulas provided in the textbook without elaborating on the specific calculations.
  • A third participant outlines the formulas for simple interest, compound interest, and continuous compounding but expresses frustration at not matching the textbook answer.
  • A fourth participant challenges the initial poster for not providing their calculations or the answers they obtained, indicating that more information is needed to assist.

Areas of Agreement / Disagreement

There is no consensus on the correct approach or answer, as participants have differing levels of information and clarity regarding the calculations.

Contextual Notes

The discussion lacks specific details about the calculations performed by the initial poster, including the answers they received and the textbook's answer, which limits the ability to provide targeted assistance.

m90210
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How many years (to two decimal places) will it take $5,000 to grow to $7,500 if invested at 8% compounded semiannually? Compounded continuously? Thank you!
 
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Plug into&chug out of the formula given in your textbook.
 
simple interest; A=P(1+rt)
compound interest; A=P(1+r/m)^mt
continuous compound interest; A=Pe^rt

I just can't seem to get my answer to match what is in the textbook. :(
 
You haven't shown us what you did, you haven't told us what answer you got, you haven't told us what the answer in the book was! I don't see how we can help you!
 

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