Answer:
Part a) The constant of variation is 
or 
Part b) 
Step-by-step explanation:
Part a) Find the constant of variation.
we know that
The simple interest formula is equal to
In this linear direct variation the constant r represent the constant of proportionality
where
I is the Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute the values and solve for r
Part b) what will the interest be after 3 years
in this part we have
substitute the values
Answer:
(3, 2)
Step-by-step explanation:
y = 3x - 7
2x + 5y = 16
Solve for x:
2x + 5(3x - 7) = 16
2x + 15x - 35 = 16
17x = 51
x = 3
Solve for y:
y = 3(3) - 7
y = 9 - 7
y = 2
Answer:
(3, 2)
Answer:
Step-by-step explanation:
Going from (1, -2) to (3,6), x increases by 2 and y increases by 8. Thus, the slope m of this line is m = rise / run = 8/2 = 4.
I think you meant, "What is the EQUATION of the line that passes through the point (-1, 1) and is parallel to a line that passes through
(3, 6) and (1, -2)? We have seen that this slope is -4.
Starting with the point-slope equation of a line, we have:
y - 6 = -4(x - 3)
Answer:
Step-by-step explanation:
When two angles are complementary, their angle lengths add up to 90°.
Therefore, we can make the equation
Now we can solve for x.
Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.
We also have the expression for ∠3, 
. Since we know x is 33, we can substitute it into the expression.
Hope this helped!
21, 42, 63, 84, 105, 126, 147
Total numbers in set: 7
Mean (Average) 84
Median (Middle): 84
Mode (Most Common): No mode of this set
Range (Biggest - Smallest): 126
Mean is the average of all data in set.
Median is the value which occurs most frequently in a data set.
Range is the difference between the largest, and smallest data set.
Hope that helps!!!!
