<span>Function
1:
Number of Weeks (x) Amount Remaining (dollars) (y)
1 30
2 24
3 18
4
12
You find the rate of weekley rate of change by calculating the difference of the amont remaing between two weeks:
24 - 30 = - 6
18 - 24 = - 6
12 - 18 = - 6
As you see the rate of change is constant: - 6 dollars per week.
The equation shows the relationship between the amount of money, y,
remaining in Ricky's account and the number of weeks, x:
Function 2: y =
–7x + 30 Which statement states and explains which function shows a
greater rate of change?
The rate of change is the slope of the linear function, and this is the coefficient of the independent variable, x. Then the rate of change is - 7 dollar per week. Now you know that the two rates are constant and that the second function shows a steeper decreasing.
</span>
Answer:
If you earn 15% the answer will be 10.8
Step-by-step explanation:
I know this because if you use the rule of 72 you will have to divide the two numbers together and the you will come out with 10.8
If he starts paying after four years, the worth of the loans by then is b. $31,616.16
<h3>What is a Loan?</h3>
This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
Read more about loans here:
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(It might also have helped immensely if you had been listening
when this was being explained in class.)
The first pipe fills 1/20 of the tank each minute.
The second pipe fills 1/30 of the tank each minute.
Operating together, the two pipes fill ( 1/20 + 1/30 ) of the tank each minute.
In order to add these fractions (or any fractions), you need a common denominator.
For these particular ones, ' 60 ' is a good choice.
( 1/20 + 1/30 ) = ( 3/60 + 2/60) = 5/60 = 1/12
The rate of work is 1/12 tankful per minute .
The most sensible choice for the time is 12 minutes.
R x T = W
( 1/12 tankful per minute ) x ( 12 minutes ) = 1 full tank
Answer:
Lagrange Theorem
Step-by-step explanation:
The Lagrange Theorem:
Let G be a finite group and T be a subgroup of G. Then the order of T divides the Order of group G.
This can be written as:
If 
, then, 
.
Possible Subgroups
Now, we are given a group with order 5. We have to find all possible subgroups.
So, the possible subgroup are: groups with order 1, group with order 5
We are given a group with order 6.
Possible subgroups are: group of order 1, group of order 2, group of order 3 and group of order 4.
