Complete the table to determine the balance A for $14,000 invested at rate r = 4.5% for t years, compounded continuously. (Round your answers to two decimal places.) T-10,20,30,40,50
Use FV = PV (1+i)^n FV = amount you need to find PV = amount you invested i= interest rate n = no f years That will do if your case is just invest for one time only, not continuous investment
Hint: Continuous Compound Interest Formula: \[A = P e^{rt}\]
10=4.89 20=1.71 30=5.96 40=2.09 50=7.28 A=Pe^(r(t)) first find the rate and time then for example 4.5(10)=45 then 14000e^(45)=4.89 so on and so on
Start with the first time: P = 14,000 r = .045 t = 10 \[A = 14000 e^{.045 \times 10}\] Just to be clear r = .045 not 4.5
good catch hero
OP follow the concept hero posted and that should give you the correct answers
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