Suppose that $2600 is invested at an interest rate of 2.75% per year, compounded continuously. After how many years will the initial investment be doubled? Do not round any intermediate computations, and round your answer to the nearest hundredth.

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answer in step by step

Step-by-step explanation:

5000 = 2500(1+3.5%)^n

5000/2500 = 1.035^n

taking natural log

ln(2) = n ln(1.035)

n = ln(2)/ln(1.035)

n = 20.15

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

42

step-by-step explanation:

256/6=42