Answer:
The answer is A
Step-by-step explanation:
A. The expression is equivalent, and it is completely factored.
The first one might be b or c
Answer:
Option D
Step-by-step explanation:
To calculate compound interest we will use the formula :

Where,
A = Amount on maturity
P = Principal amount = $3000
r = rate of interest = 8.4% = 0.084
n = number of compounding period = Monthly = 12
t = time = 1 year
Now put the values in the formula.

= 
= 3000(1.007)¹²
= 3000 × 1.08731066
= 3261.93198 ≈ $3261.93
While the other bank compounds interest daily.
Therefore, n = 365
Now put the values in the formula with n = 365



= 3000 × 1.08761958
= 3262.85874 ≈ $3262.86
Difference in the ending balance = 3262.86 - 3261.93
= $0.93
The difference in the ending balances of both CDs after one year would be $0.93.
Answer:
Below.
Step-by-step explanation:
I won't do all of these for you but I'll show you the general method.
First write each number as prime factors.
For example number 7:
LCM of 24 and 34.
24 = 2 * 2 * 2 * 3
34 = 2 * 17
The LCM is the multiple of all these factors EXCEPT if there is a duplicate number you only use it once.
There is one duplicate here - the 2 ( in bold) so we only use this once.
So the LCM = 2 * 2 * 2 * 3 * 17 = 408.
Number 1:
13, 25
13 = 13
25 = 5 * 5
There are no duplicates so the LCM = 13 * 5 * 5 = 325.
Number 18:
15, 84
15 = 3 * 5
84 = 2 * 2 * 3 * 7
Number 3 is common to both sets so it is only used once:
LCM = 2 * 2 * 3 * 5 * 7 = 420.
Number 40:
18, 48
18 = 2 * 3 * 3
48 = 2 * 2 * 2 * 2 * 3
There are 2 sets of duplicates here, 2 and 3 .
LCM = 2 * 2 * 2* 2 * 3 * 3 = 144.