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A man with ​$20,000 to invest decides to diversify his investments by placing ​$10,000 in an account that earns 5.2​% compounded continuously and ​$10,000 in an account that earns 6.4​% compounded annually. Use graphical approximation methods to determine how long it will take for his total investment in the two accounts to grow to ​$35,000. It will take approximately nothing years for his

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Answer:

9.749 years

Explanation:

Given that :

Principal, P = 20,000

Total investment A = 35000

Investment 1:

P = $10,000

Compounded continuously at r = 5.2% = 0.052

A = Pe^rt

Investment B:

P = $10,000

Compounded annually at r = 6.4% = 0.064

A = P(1 + r)^t

Hence, final amount, A on both investment = 35000

A = Pe^rt + P(1 + r)^t

35000 = 10000e^0.052t + 10000(1 + 0.064)^t

Divide through by 10000

3.5 = e^0.052t + 1.064^t

t = 9.749123

t = 9.749 years

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