Equal expressions can be taken equal to an another variable. The system of equations representing the equation is 
<h3>What is logarithm and some of its useful properties?</h3>
When you raise a number with an exponent, there comes a result.
Lets say you get
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
Some properties of logarithm are:

Log with base e = 2.71828... is written as
simply.
Log with base 10 is written as
simply.
The given equation is:

Adding
on both the sides, we get:

The, we get two equations as:

This is the needed system of equations.
Learn more about logarithms here:
brainly.com/question/20835449
in 100 years they will be able to withdraw $131.50
1(1.05)^100
Answer:
5 groups
2 extra children
Step-by-step explanation:
The computation of a number of groups and number of extra children is shown below:
Given that
There is 27 children
And, this group would be divided into group 5
So,
As we know that 25 is easily divided by 5
So there are 5 groups
And, the extra children is
= 27 - 25
= 2 chidren
Answer:
Triangles:
10 m, 21 m, 29 m
10 m, 29 m, 37 m
Not triangles:
10 m, 14 m, 29 m
10 m, 29 m, 40 m
Step-by-step explanation:
For a triangle to exist, the sum of any two sides of a triangle must be greater than that of the third side.
Let us check each of the options.
Option 1: 10 m, 14 m, 29 m
The sum of lengths 10 m and 14 m must be greater than 29 m.
10 + 14 = 24 < 29
So, this is not a triangle.
Option 2: 10 m, 21 m, 29 m
10 + 21 = 31 > 29
21 + 29 = 50 > 10
29 + 10 = 39 > 21
Therefore, it is a triangle.
Option 3: 10 m, 29 m, 37 m
10 + 29 = 39 > 37
29 + 37 = 66 > 10
37 + 10 = 47 > 29
Therefore, it is a triangle.
Option 4: 10 m, 29 m, 40 m
10 + 29 =39 < 40
So, this is not a triangle.
Answer:
1. 24 ft
B. 2
3. 150
4. 34
5. 864
6. 1925
7. 480
8. 22440
Step-by-step explanation: