Frank has four different credit cards, the balances and interest information of which are outlined in the table below. As Frank was developing a debt payment plan, Charles suggested that he pay off the credit cards beginning with the highest balance, working his way down. If Frank chooses to follow Charle’s advice, in what order should Frank plan on paying off his credit cards? Credit Card

Balance

APR

A

$2,380

19%

B

$4,500

15%

C

$1,580

17.50%

D

$900

21%

a.

D, A, C, B

b.

B, A, C, D

c.

C, B, A, D

d.

A, C, D, B

Please select the best answer from the choices provided

A

B

C

D

ANSWER: b. B, A, C, D

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality