We must take into account the following change of units:
Applying the change of units we have that the electric consumption for 1 year is given by:
Then, the total cost is given by:
Answer:
the cost of operating a 3.00-w electric clock for a year is:
$ 2.3652
Answer:
The population reaches 7 million people in the year 2032.
Step-by-step explanation:
We have that
Using this model, find the year when the population reaches 7 million people.
This is x years after 2000, in which x is found when f(x) = 7. So
We have to following logarithm rule
So we apply log to both sides of the equality
2000 + 32.66 = 2032
The population reaches 7 million people in the year 2032.
Answer:The new cost per person= $19 when there are 12 people
Step-by-step explanation:
Step 1
Let Number of people be rep as N
And Cost per person = C
such that the relationship of number of people which varies inversely with the cost per person is given as
N∝ 1/C
Introducing constant of proportionality, k, we have that
N= K/C
such that when there were 4 people the cost per person was $57, K would be
N= K/C
4 = K /57
k= 57 X 4
k=228
Step 2
Therefore If the number of people changed to 12, cost per person would be
N= K/C
12= 228 / C
C= 228/12
C= 19
The new cost per person= $19 when there are 12 people
Answer:
(x + 1/2)^2 = 289/4
Step-by-step explanation:
x^2+x-72=0
Write like this:
(x + ___)^2 = ___
put 72 on other side
x^2 + x = 72
x^ + x + (1/4) = 72 + (1/4)
(x + 1/2)^2 = 289/4
x + (1/2) = 17/2
