Answer:
Options C. and D. are correct.
Step-by-step explanation:
Let 
Equation of a line is given by 
Put 
Put 
Put 
Put 
Put 
So, points 
satisfy the equation 
Therefore,
points lie on the line through 
and 
Options C. and D. are correct.
Answer:
47.25 ft³
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh . . . . . . . B is the area of the base, h is the height.
The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...
A = 1/2bh . . . . . . b is the base, h is the height
Using the given values for the entrance base and height, we get ...
A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²
Then the volume of the tent is ...
V = (7.875 ft²)(6 ft) = 47.25 ft³
The tent volume is 47.25 cubic feet.
The amount of money the person would have in 8 years s $2541.74.
<h3>How much would the person have in 8 years? </h3>
The formula for calculating future value is:
FV = P (1 + r)^nm]
Where:
FV = Future value
- P = Present value = $2000
- R = interest rate = 3% / 12 = 0.25%
- m = number of compounding = 12
- N = number of years = 8 years
Value of the account in 8 years with monthly compounding = $2000(1.0025)^(12 x 8) = $2541.74
To learn more about future value, please check: brainly.com/question/18760477
Answer:
Each pencil cost $0.51
Step-by-step explanation:
For this problem, all you need to do is find the three #'s that add up to 156.
So, lets look at the answers and add them up.
A. 50, 52, 54
50 + 52 + 54 = 156
B. 51,52,53
51 + 52 + 53 = 156
C. 49,50,51
49 + 50 + 51 = 150
D. 49,51,53
49 + 51 + 53 = 153
We get the answers (50,52,54) and (51,52,53)
Now, consecutive numbers are numbers that in order, like 1,2,3.
Therefore, the answer is (51,52,53)
