英文数学题
Youinvest$5000inanaccountwhichpaysinterestcompoundedcontinuously.(a)Howmuchmoneyisint...
You invest$5000 in an account which pays interest compounded continuously.
(a) How much money is in the account after9 years, if the annual interest rate is5% ?
Round your answer to two decimal places.
The balance is about $_______
(b) If you want the account to contain$8500 after9 years, what yearly interest rate is needed?
Round your answer to one decimal place.
The rate required is about .________%
真的不会做了，谢谢各位大神 展开
(a) How much money is in the account after9 years, if the annual interest rate is5% ?
Round your answer to two decimal places.
The balance is about $_______
(b) If you want the account to contain$8500 after9 years, what yearly interest rate is needed?
Round your answer to one decimal place.
The rate required is about .________%
真的不会做了，谢谢各位大神 展开
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(a)因为是compounded continuously
公式是 A = Pe^(rt)
P = 5000美金,r = 5%, t = 9
A= 5000×e^(5%×9) ≈ 7841.56
(b) 想要9年以后有$8500， 设interest rate是r
5000×e^(9r) = 8500
r ≈ 5.9%
公式是 A = Pe^(rt)
P = 5000美金,r = 5%, t = 9
A= 5000×e^(5%×9) ≈ 7841.56
(b) 想要9年以后有$8500， 设interest rate是r
5000×e^(9r) = 8500
r ≈ 5.9%
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