Alan deposited $300 in an account that pays 6% interest compounded continuously. Approximately how long will it take for Alan’s money to triple? (Use formula A=Pe^rt where A is the accumulation amount, P is the initial amount, r is the annual rate of interest, and t is the elapsed time in years.)

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  18.3 years

Step-by-step explanation:

You want ...

  A/P = 3 = e^(rt) . . . for r = 0.06

Taking the natural log, this gives ...

  ln(3) = 0.06t

  t = ln(3)/0.06 ≈ 18.31

It will take about 18.3 years for the value to triple.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: