Answer:
The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
Step-by-step explanation:
Let x be the hotel charge without tax in first city
We are given that The hotel charge before tax in the second city was $1500 lower than in the first.
So, Hotel charge without tax in second city =x-1500
Tax% in first city = 10%
So, tax in first city = 0.1x
Tax% in second city =5%
So, tax in second city = 0.05(x-1500)
We are given that The total hotel tax paid for the two cities was $600.
So,0.1x+0.05(x-1500)=600
0.1x+0.05x+75=600
0.15x=600-75
x=3500
Hotel charge without tax in first city = $3500
The hotel charge before tax in the second city =x-1500=3500-1500=2000
Hence The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
Answer:
If we divide both sides by 10 we got:
We can apply natural log on both sides and we got:
And solving the value of t we got:
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Step-by-step explanation:
For this case we have the following function:
Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:
If we divide both sides by 10 we got:
We can apply natural log on both sides and we got:
And solving the value of t we got:
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Answer:
I attached a picture
Step-by-step explanation:
hope this helps!!! :)
Answer:
f(g(2))=2
Step-by-step explanation:
If g(x) is the inverse function of f(x), then f(g(x)) must return always x.
That is the property of functions and inverse functions
The only solution for
is
, so it's either
or
.
Both
and
are equal to 1, so the answer is
.