kingofmortals6981
22.12.2020 •
Mathematics
Landon is going to invest in an account paying an interest rate of 4.3% compounded continuously. How much would Landon need to invest, to the nearest hundred dollars, for the value of the account to reach $11,300 in 14 years?
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Ответ:
$ 6,189.18
Step-by-step explanation:
From the above question, we can deduce that we are meant to find the Principal (Initial Amount ) invested.
The formula for the Principal of a compound interest that is compounded continuously is given as:
P = A / e^rt
Where
P = Principal
A = Totally Amount after time t = $11,300
r = Interest rate = 4.3 % = 0.043
t = 14 years
P = $11,300/ e ^0.043 × 14
P = $ 6,189.18
Hence, Landon needs to invest, $ 6,189.18
Ответ: