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nikklg [1K]
2 years ago
9

Annabelle invested $5,900 in an account paying an interest rate of 2% compounded continuously. Assuming no deposits or withdrawa

ls are made, how long would it take, to the nearest year, for the value of the account to reach $7,440?
Mathematics
2 answers:
Zigmanuir [339]2 years ago
7 0

Answer:

Step-by-step explanation:

Continuous compounding has the form

A=Pe^{rt}\\ \\ t=\frac{ln\frac{A}{P}}{r}\\ \\ t=\frac{ln\frac{7440}{5900}}{0.02}\\ \\ t\approx 11.6\\ \\ t=12

igor_vitrenko [27]2 years ago
4 0

Answer:

assuming No Deposits Or Withdrawals Are Made, How Long Would It Take, To The Nearest Year, For The Value Of The Account To Reach $7,440? ... invested $5,900 in an account paying an interest rate of 2% compounded continuously

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nikklg [1K]

If B is the midpoint of AC, then AB=BC. It is also BC=AC-AB

AB = x + 6

AC = 5x - 6

BC = (5x - 6) - (x + 6)

We can kinda use distributive property, like this:

BC = 5x - 6 -x - 6

Combine like terms:

BC = 4x - 12

To verify, we can add AB and BC to see if their sum is equal to AC.

(x + 6) + (4x - 12) = 5x - 6

If we are correct, this equation will be true.

x + 6 + 4x - 12 = 5x - 6

Combine like terms:

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5x - 6 = 5x - 6

It's correct!

BC = 4x - 12. Final Answer.

Let me know if you have any questions about this! :)

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