9. 1/2 points| Previous Answers My Notes The value of a particular item can be m

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9. 1/2 points| Previous Answers My Notes The value of a particular item can be modeled by P(t) Po(a) where P is in dollars and t is the number of years since the item was purchased. Suppose the value of the item increases 3% each year and the item was purchased for $20. (a) Write a formula for P(t) using the general exponential model. P20(1.03) (b) How fast is the value of the item increasing whent10 years? Round your answer to two decimal places 26.88 dollars/year Submit Answer Save Progress 10. 2/3 points ! Previous Answers My Notes Find the exact value of c in the figure shown below, where the line tangent to the graph of y- 2* at (0, 1) intersects the x-axis. -2 Find the exact slope of the tangent line at (0, 1) slope-In(2) Find the equation of the tangent line at (O, 1). Use y as the dependent variable Find the exact value of c c=-In(2)

Explanation / Answer

Equation of tangent line using point slope form which is

y-y1=m(x-x1)

y-1=ln(2)(x-0)

y=ln(2) x +1

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