Range is 6 and the mode is 8
<u>Answer:</u> 504
<u>Step-by-step explanation: </u>
Least Common Multiple is :
504
Calculate Least Common Multiple for :
18, 24 and 56
Factorize of the above numbers :
18 = 2 • 32
24 = 23 • 3
56 = 23 • 7
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
18 Number
24 Number
56 L.C.M
(max)
2 1 3 3 3
3 2 1 0 2
7 0 0 1 1
LCM = 23 • 32 • 7
Least Common Multiple is :
504
In order to solve a negative exponent, you have to consider the multiplicative inverse of the base:

So, if we solve the negative exponent on the left hand side, we have

which is the right hand side.
Answer:
the amount in the account after three years? = $110.96
Step-by-step explanation:
the formula to calculate the amount compounded after 3year =
A = P(1 + r/n)∧nt
A =
where P = principal =starting amount = $100 weekly
r= interest rate = 2.4% weekly = 0.024
t = time interest is computed = 3years =
n = number of time interest is compounded per year =52.1weeks
inputing the parameters
A =
A = 100 (1.0005)^{208}
A = 100 *1.1096
A = $110.96