Answer:
a) $86.11
b) $467.33
Step-by-step explanation:
no. of gallons saved 'n' per year
n = (10000/33) - (10000/36)
n = 2500/99
Amount saved = 3.41×n = 3.41×2500/99
= $86.11
b) over 5 years:
86.11( 1 + (1.041) + (1.041)² + (1.041)³ + (1.041)⁴ )
= 86.11(5.427157431)
= $467.33
Answer:
2,637.18 
Step-by-step explanation:
The formula for finding the volume of a cylinder is....
V = π 
π = 3.14
Radius = 7
Height = 13
Now that we have what we need, we can substitute the numbers into the equations to get our volume
V = π 
V = 3.14 *
* 13
V = 3.14 * 49 * 13
V = 202.86 * 13
V = 2,637.18
The volume of the cylinder is 2,637.18 
Hope this helped!
have a supercalifragilisitcexpialidocious day!
Answer: 8x + 40
Step-by-step explanation:
To distribute, we multiply 8 by both of the values inside the parentheses;
Given:
8(x + 5)
Distribute:
(8 * x) + (8 * 5)
Multiply and simplify:
8x + 40
Answer:
x = 1.5
Step-by-step explanation:
Given


Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if
, then

Multiply both sides by 2


Similarly;

Multiply both sides by 2


Merging these results together; to give

This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above (
), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x = 1.5
Answer:
AD = 1/4AC
Step-by-step explanation:
Given that,
D is the the midpoint of AB
Therefore
AB = AD + DB
Since, D is the midpoint of the AB, therefore AD = DB
AB = AD + AD
AB = 2AD (i)
Similarly, B is the midpoint of AC
Hence,
AC = AB + BC
AC = AB + AB (because B is the midpoint)
AC = 2AB (ii)
By putting the value of AB from equation i to equation ii, we get
AC = 2(2AD)
AC = 4AD
AC/4 = AD
AD = 1/4AC