Suppose carla has $12,000 to invest. which investment yields the greater return over 2 years: 9% compounded quarterly or 8.85% compounded monthly? a) the rate of 8.85% compounded monthly is better. b) the rate of 9% compounded quarterly is better. c) they are the same.

B) The rate of 9% compounded quarterly is better

The effective annual rate at 8.85% compounded monthly is ...

... (1 +0.0885/12)^12 -1 ≈ 9.218%

The effective annual rate at 9% compounded quarterly is ...

... (1 +0.09/4)^4 -1 ≈ 9.308% . . . . . . larger than 9.218%

The higher rate compounded less often is better.

The rates would be nearly equivalent (within $1 over 2 years) if the rate compounded monthly were about 8.93% instead of 8.85%

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

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step-by-step explanation: