If you have two sets of integers {1, 2, 3, 4} and {4, 5, 6, 7}, then the sum of each set is 10 and 22, respectively, with a difference of 12. Based on logic, we know that this applies to any numbers you choose that meet the criteria. Number theory offers a more formalized outlook on these concepts.
The answer is D.
The amount of money borrowed is $ H
Time for borrowing is 25 years
Amount paid per month M
Amount paid per year 12M
Interest rate paid=I
Let the payment method be simple interest method, then:
I=(PRT)/100
plugging in our values we have:
I=(H×R×M)/100
hence:
I=HRM/100
Answer:
A) a vertical line does not represent a function.
Step-by-step explanation:
For a relation to be a function for each value of
there must be only one value of
. In other words a function is one in which each value in the domain set corresponds to only one value in the range set.
Let us check for this condition in the give choices:
A) a vertical line
A vertical line is given as
which meas it is parallel to y-axis and has infinite number of
values for a single
value.
So, its Not a function
B) 
For the given equation, on plugging in some
value will give a single
value.
So, its a Function
C) a horizontal line
A horizontal line is given as
which meas it is parallel to x-axis and has infinite number of
values giving a single
value.
So, its a Function
D) {(1, 7), (3,7), (5, 7), (7,7)}
For the given set for different
valuesthere is only one
value.
So, its a Function
Answer:
Mean = 3640
Mode = 4100
Median = 3830.
Step-by-step explanation:
We are given the following data in the question:
Strength of casts (in psi):
3970,4100,3100,3200,2950,3830,4100,4050,3460
Formula:


Mode is the entry with most frequency. Thus, for the given sample mode = 4100.
Median
Since n = 9 is odd,
Formula:

Data in ascending order:
2950,3100,3200,3460,3830,3970,4050,4100,4100
Median = 5th term = 3830.
Answer:
length=4
width=30
Step-by-step explanation:
length=x
width=8x-2
(8x-2)*2+2x=68
16x-4+2x=68
18x=72
x=4 (Length)
4*8=32, 32-2=30(width)