Answer:
Step-by-step explanation:
We are given the following in the question:
Let P be the number of professor and S be the student in a college.
According to the question:
There are 19 times as many students as professors.
We have to write an equation to show the given relationship between professors and students.
The above situation is the situation that represents the given relationship.
Answer:
x° = 64°
Explaination:
This is a right angled triangle so one of the angle is 90°.
So, x° + 90° = 154° (Exterior angle property)
x° = 154° - 90° = 64°
Therefore x° = 64°
Answer:
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is
Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'
solving for y to writing the equation in the slope-intercept form and determining the slope
Add -x to both sides.
Divide both sides by -2
comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:
Option 1
p=$500
r=2%=0.02
t=1 year
Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
=$509.09
Comparing the two plans above, option 1 is the best.
b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510.