anonymous
  • anonymous
Pat deposits $6,000 into an account earning 4% compounded monthly. How long will it take the account to grow to $10,000?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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kropot72
  • kropot72
You need to solve the following equation to find the value of t = required number of months: \[\large 10000=6000(1+\frac{0.04}{12})^{t}\]
anonymous
  • anonymous
T=-538.42
kropot72
  • kropot72
To solve the equation, first divide both sides by 6000, giving \[\large 1.6667=(1+\frac{0.04}{12})^{t}\] Next we simplify the term in brackets and take logs of both sides: \[\large \log 1.6667=t \log 1.0033\] Now we divide both sides by log 1.0033 to give \[\large t=\frac{\log 1.6667}{\log 1.0033}=you\ can\ calculate\]

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