Question

1) An antique dresser was purchased for $7500 in 2005. The dresser increases in value by 9% per year. Find the value of the dresser in 2025.

2) a) Find the slope of the secant to the curve f(x) = 0.25(4)^(x) - 2 between:

p1) x=0 and x = 1

p2) x=0 and x=0.5

p3) x=0 and x=0.1

p4) x=0 and x=0.01

b) Extend the result from part a) to determine the tangent to the curve at x = 0 accurate to 3 decimal places.

Thanks.

Answer 1

1. Value = 7500 + 7500*0.09*20 = $21,000