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:
Answer:
6/10 or 3/5
Step-by-step explanation:
4/5 = 8/10
8/10 - 2/10 = 6/10 or 3/5
The price it 2 years would be 10k cash
Answer:
x = 15
Step-by-step explanation:
Logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
<h3>What is the Logarithm function?</h3>
A log function is a way to find how much a number must be raised in order to get the desired number.

can be written as

where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
Given to us
2⁵ = 32
As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

Hence, the logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
Learn more about Logarithmic function:
brainly.com/question/7302008