Answer:
16 years
Step-by-step explanation:
Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:
320000 + 5000x
The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:
624000 - 14000x
The number of years for the city and suburb population to be equal can be gotten from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years the populations of the suburb and the city be equal
Answer:
The first digit of a two digit number can be any of digits 1 - 9. It cannot be 0 though. Therefore there are 9 possible digits for the first place.
There are 5 possible digits for the second position. The two digit number has to be odd and therefore the final digit must be 1,3,5,7 or 9
Therefore for each and every one of the nine first digits there are 5 digits that the second can be.
Therefore ANSWER = 9 * 5 = 45 possible permutations.
2. The largest two digit number = 99
Subtract 57 and you get 42
ANSWER = 42
The forty two numbers are 58 ,59, 60, 61......98, 99
Answer:

Step-by-step explanation:
we have given thickness of atmosphere =50 km
radius of earth =6400 km
average temperature of atmosphere=15°C
Average pressure of atmosphere= 0.20 atm
we have to calculate the volume of atmosphere
so the we have to calculate the volume of atmosphere = ( volume of earth +atmosphere) - volume of earth
volume of atmosphere =
=
The question is incomplete. But this explanation will help you very much.
1) Regarding the function

,
its graph always passes through the points (1,0) and (a,1).That is due to the properties of logarithm function:
a)

b)

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That in turn is due to the properties of the exponential functions.
a^0 = 1 and a^1 = a
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2) Regarding the y-axis.
The function

will never touch the y-axis, because the logaritm of zero is not defined. So
the graph lies to the righ of the y-axis (i.e. the domain of the function is x > 0)