Double
from initial amont of P to final amount of 2P
so
2P=P(1.071)^time
divide both sides by P
2=1.071^time
take the ln of both sides
ln2=timeln1.071
divide both sides by ln 1.071
(ln2)/(ln1.071)=time needed
using calculator
10.1052=time needed
about 10.1 hours
Answer:
25 movies
Step-by-step explanation:
First, create the monthly costs for both plans:
Plan A:
A = x + 32
Plan B:
B = 2x + 7
Set these two expressions equal to each other, and solve for x:
x + 32 = 2x + 7
32 = x + 7
25 = x
So, the two plans will have an equal monthly cost after 25 movies.
Answer:
It is not arithmetic, so therefore there is no common difference
Step-by-step explanation:
An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k. There is no constant term in the above pattern.
Answer:
18 machines
Step-by-step explanation:
Data provided in the question:
It takes 4 machines 6 days to produce x units
Therefore,
it will take 4 machines 18 days to produce 3x units
let it takes Y machines 4 days to produce 3x units
Thus,
4 × (18 days) = 3x .............(a)
Y × (4 days) = 3x .............(b)
equating equation a and b, we get
or
4 × (18 days) = Y × (4 days)
or
Y = 18
Hence,
18 machines are required to produce a total of 3x units of product P in 4 days
