Problem $4.($Converging Lens$)$

An object is placed $60$ cm from a diverging lens with a focal length of $-15$ cm $.$

A$.$ What is the image distance? Express your answer in units of cm $,$ and be mindful of our sign conventions in your answer.

B$.$ What is the image magnification?

C$.$ Which of the following is a true statement about this scenario? There can be more than one correct answer.

a$.$ The object is real.

b$.$ The object is virtual.

c$.$ The image is real.

d$.$ The image is virtual.

e$.$ The image is upright.

f$.$ The image is inverted.

D$.$ Now we swap the lens with a concave mirror with the same focal length of $15$ cm $.$ Unlike a diverging lens, a concave mirror's focal length $f$ is a positive value. With that in mind, what would the distance to the image $($in cm $)$ be for the concave mirror?