Answer: 5,760
Step-by-step explanation:
It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs. Let D represent the dogs and C represent the Cat , then we have
D C D C D C D C D D or
D D C D C D C D C D or
D C DD C D C D C D or
D C D C D D C D C D or
D C D C D C DD C D
Each of the arrangements above could be done in
2 x 4! x 4! ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )
= 2 x 24 x 24
= 1 , 152
The total arrangement = 5 x 1 , 152
= 5,7 60 ways
Even # --------- if it ends with 0, # of ways = 6*5*4 = 120 if not, 3 ways for ending digit, 5 ways for 1st digit, 5*4 for middle digits = 300
so total ways = 420
odd # --------- 4 ways of ending digit, 5 ways for 1st digit, 5*4 for middle digits = 400 ways
< 4000: ---------- 3 ways for starting digit, 6*5*4 ways for remaining digits = 360 ways
> 3000 & < 4000 ------------------------ 1 way for starting digit , 6*5*4 for remaining digits = 120 ways
Answer:
Plan C
Step-by-step explanation:
Complete the table first:
To find the number of weeks for each amount of $ to save, divide $500 by the amount.
Plan B: $500/$30 = 16.7 weeks, rounded to 17 weeks
Plan C: $500/$40 = 12.5 weeks, rounded to 13 weeks
Plan D: $500/$50 = 10 weeks
Save $500 in less than 16 weeks with $20 extra:
Which plans need less than 16 weeks?
Plans C and D.
Check the amount of money Plan C gives:
In 13 weeks, how much extra money does this plan give?
Extra money = Total - $500
The total money is 13 weeks * $40 = $520
$520 - $500 = $20 in extra money
Therefore Plan C gives Todd $500 in less than 16 weeks, with $20 extra.
Answer:
45.57
Step-by-step explanation:
3 x 2.49 =7.47
4.65
5 x 0.67 = 3.35
5 x 6 = 30
7.47+ 4.65 + 3.35 + 30 = 45.47
