Which division of the diencephalon acts as an information filter for sensory information that is forwarded to the cerebrum?

Explanation:

Dencephalon is the part of the forebrain and includes three parts- epithalamus,thalamus and the hypothalamus.

Epithalamus is a non-nervous part , it remains fused with pia mater and forms the anterior choroid plexus.

The thalamus  is located between the midbrain and the cerebral cortex. It filters sensory information and directs them to appropriate parts of cerebrum.

Hypothalamus is located beneath the thalamus. It is an integrating center for many important homeostatic functions.

9.9 years

a = p(1 + rt) . . account balance after time t at rate r starting with principal p

3000 = 2500(1 + 0.0202t) . . filling in the given numbers

1.2 = 1 + 0.0202t . . divide by 2500

0.2 = 0.0202t . . . subtract 1

0.2/0.0202 = t ≈ 9.901

it will take about 9.9 years for the account balance to reach $3000.