Adrian is going to invest $9,900 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Adrian to end up with $17,700?

did you ever get the answer bc I am struggling on this, pls help.

Step-by-step explanation:

5.81%

Step-by-step explanation: Delta Math

A = 17700. P = 9900. t = 10

17700 = 9900e^r(10)

17700/9900 = 9900e^10r/9900

1.7878788 = e^10r

In(1.7878788) = In(e^10r)

In(1.7878788) = 10r

In(1.7878788)/10 = 10r/10

0.058103 = r

5.8103% = r

r = 5.81%

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1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.