The arterioles (small arteries) leading to an organ, constrict in order to decrease flow to the organ. to shut down an organ, blood flow is reduced naturally to 1.00% of its original value. by what factor did the radii of the arterioles constrict? penguins do this when they stand on ice to reduce the blood flow to their feet.

The radii of the arterioles constrict by humoral control and by nervous control.

Explanation:

The vascular system regulation is performed by the smooth muscle of the arterioles, which constitute the maximum resistance point. The smooth muscle relaxation provokes vasodilation, increasing its diameter. On the contrary, smooth muscle contraction provokes a decrease in the arteriole´s diameter, reducing the blood flow.

This muscle is under the control of the autonomous nervous system and certain hormones.

Substances such as  adrenaline, noradrelanine, angiotensine, vasopresin, and endotelines cause vasoconstriction.

Also, there are many vasoconstrictor fibers of the sympathetic nerves that increase resistance and modify blood flow.

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.

multiplying and dividing the two decimals and the eqations by the same number of the overalls