I dunno if im correct, but for A. I’d say 1/4 for B. I’d say 1 1/2 for C. 2/3
answer: the answer is the first answer choice
Answer:
C. 2(k +2)(k +5)(k +1)
Step-by-step explanation:
The LCM will be the product of unique factors.

The unique factors are 2, (k+1), (k+2), (k+5), so the LCM is their product:
2(k+1)(k+2)(k+5) . . . . matches choice C
Answer:
28.4in³
Step-by-step explanation:
Volume of the square based pyramid = L²H/3 where;
L is the length of a side of the square base
H is the height of the prism
Given
Perimeter of the base = 13.4 in
Height of the pyramid = 7.6in
First we need to get the length of the square base
Perimeter of a square = 4L
13.4 = 4L
L = 13.4/4
L = 3.35 in
Next is to find the required volume of the pyramid
V = L²H/3
V = 3.35²(7.6)/3
V = 85.291/3
V = 28.4 in³
Hence the volume of the pyramid to nearest tenth is 28.4in³
Answer:
10.153 years
Step-by-step explanation:
The future value of such an investment is given by ...
FV = P·(1 +r/12)^(12t)
where P is the principal invested, FV is the future value of it, r is the annual interest rate, and t is the number of years.
Dividing by P and taking the log, we have ...
FV/P = (1 +r/12)^(12t)
log(FV/P) = 12t·log(1 +r/12)
Dividing by the coefficient of t gives ...
t = log(FV/P)/log(1 +r/12)/12 = log(3000/2000)/log(1 +.003333...)/12 ≈ 121.842/12
t ≈ 10.153 . . . years