Step 1: LCM of 24 , 30 and 60 = 120
so 120 is the least no which is divisible by all 24 , 30 and 60
Step 2: factors of 120 will be 2^3 * 3 * 5
so the least perfect square, which is divisible by 24, 30 and 60 will be
(2^3 * 3 * 5) x ( 2 * 3 * 5 ) = 3600
3600
Answer:
Step-by-step explanation:
This problem is all about bases and exponents. Because we have a quotient and the bases are both 5's, that means that we can use the rule of exponents for quotients to rewrite and simplify:
That's the simplification as long as you are "allowed" to leave the exponent as a negative number.
Answer:
Step-by-step explanation:
Let x represent the seating capacity
Number of seats = 40+x
Profit per seat = 10 - 0.20x
For maximum number of seats
P(x) = ( 40+x ) ( 10-0.20x )
P(x) = 400+10x-8x-0.2x^2
P(x) = 400+2x- 0.2x^2
Differentiating with respect to ( x )
= 2 - 0.4x
0.4x = 2
x = 2/0.4
x = 5
The seating capacity will be 40+5 = 45
For the maximum profits
40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1
= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )
= 400 + (48/2)(2X0.1 + (48-1)X0.1)
= 400 + 24(0.2 + 4.7)
= 400 + 24(4.9)
= 400 + 117.6
= 517.6
= 517.6dollars
Answer:
12
Step-by-step explanation:
I just did the math on how much 30% is in 40 and I got the answer 12 I hope this helps you!
