Answer:
4!
Step-by-step explanation:
In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.
So, we have to put vowels at each even position; only then the condition will be satisfied.
We can put this in 3! ways (permutations of A, I & U).
For odd positions we can put 3-M's & a X. Total ways is 4!/3! (as repetitions of M).
Hence, the answer is 4!/3! x 3! = 24 ways.
24=4!.
The equation given in the question is
3(3x - 1) + 2(3 - x) = 0
9x - 3 + 6 - 3x = 0
6x + 3 = 0
6x = - 3
x = - (3/6)
= - (1/2)
So the value of x as has been determined above is -1/2. I hope the procedure is clear enough for you to understand.<span>You can
always use this method for solving problems that are similar in type without
requiring any help from outside. </span>
We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e^(r t ). We know that r = 0.06; t = 5; e = 2.71 and P = $8,000. A = 8,000 * 2.718^( 0.06 * 5 ) = 8,000 * 2,718^( 0.3 ) = 8,000 * 1.3488158 = 10,798.53. Answer:<span> B. $10,798.53. </span>