Problem-interest compounded continuously


Assignment:

Q1) Given A=Pe^rt, with A = 455, P = 5, and r = 0.61, solve for t. Round to the nearest 0.01.
t=__________

Q2) Solve for r: 8(3^r+1)+4=20
Round to the nearest 0.001.
r=__________

Q3) Solve for z: 2log_2(5+2z)=16
Round to the nearest 0.01.
z=__________

Q4) An investment offers 4.5% interest compounded continuously. How long until the investment triples in value? Round to the nearest 0.1 year.
________years

Q5) A certain city's population doubles every 8 years. If the population in 2000 is 4 million people, in what year will the population reach 85 million?
In the year_________

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Problem-interest compounded continuously
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