Evaluate these quantities. a.−17 mod 2 b.144 mod 7 c.−101 mod 13 d.199 mod 19
1 answer:
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As given,
Loan amount is = $45000
Rate of interest = 8.5%
So, Tony's mortgage will attract an interest of:
= $3825 (this is yearly)
And for 1st month it will be = = $318.75
As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.
Hence, the new principle after the 1st month is $71.85 less than $45000
= 45000-71.85 = $44928.15
Hence, the last option $44928.15 is the correct answer.
Answer:
Explanation:
The number of different ways in which the<em> two armadillos</em> would be at the ends of the row is 2:
The number of different combinations in which<em> two of the three aardvarks </em>can sit at the ends of the row is P(3,2):
Therefore, there are 2 + 6 = 8 different ways in which the two animlas on the ends of the row were both armadillos or both aardvarks.
Now calculate the total number of different ways in which the animals can sit. It is P(5,5):
Thus, <em>the probability that the two animals on the ends of the row were both armadillos or both aardvarks</em> is equal to the number of favorable outputs divided by the total number of possible outputs: