Use the formula for continuously compounded interest, A = Pert, to find the annual interest rate for an $8000 investment that earns $410.17 in one year.

a. 7%
b. 6%
c. 5%
d. 4%

c 5%

Step-by-step explanation:

8000 + 410.7 = 8000 e^(r)

e^r = 1.05127125

r lne = ln1.05127125

r = 0.05006316309 × 100

5%

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1