Answer:

Step-by-step explanation:
Note that because BD is an angle bisector, then angle XBD and angle DXY are equal. Also note that BYD and BXD are equal because they are both right angles. Also, by the transaitive property, BD = BD. Therefore, it can be concluded that BXD is congruent to BYD.
Therefore, we must solve
.
20100 = 16000 * (1.02)^ t
20100/16000 = 1.02^t
1.25625 = 1.02^t
log 1.25625 = t * log 1.02
t = log 1.25625 / log 1.02
= 11.5
Answer:
We conclude that he purchased 20 rookie cards and 8 Hall of Fame cards.
Step-by-step explanation:
We know that Connor spent $66 on rookie cards and Hall of Fame cards. We know that rookie cards are four for six Hall of Fame two for nine.
Therefore, we calculate:

5·4= 20 rookie cards
4·2= 8 Hall of Fame cards
We conclude that he purchased 20 rookie cards and 8 Hall of Fame cards.