I am not sure about the formula but if you subtract 8,884 from 10,712 you get 1,828. Then, if you divide that by 4 you get 457. 457 fph(feet per hour) should be the climbers vertical speed.
1,2,3,6 are the correct answers.
The population growth will be modeled using exponential growth:
f(x)=a(b)^t
where:
a=initial value
b=growth rate
thus plugging in the values we get:
f(x)=1.3(1.04)^t
thus the population after 10 years will be:
f(x)=1.3(1.04)^10
f(x)=1.9243
thus the population in 10 years will be:
1.9243 million
It goes up by 1.05 every time.
Answer 1:
It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.
So the two digit number x is expressed as,


The two digit number 'y' is obtained by reversing the digits of x.
So, 

Now, the value of x-y is expressed as:




So,
is equivalent to (x-y).
Answer 2:
It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = 
Since, the sum of the given infinite geometric series = 200
Therefore,
Since, r=0.15 (given)



a=170
The nth term of geometric series is given by
.
So, second term of the series =
= ar
Second term = 
= 25.5
So, the second term of the geometric series is 25.5
Step-by-step explanation: