Answer:
To find the constant of proportionality from the coordinates of
one point on the graph are as follows :-
1.) Find two easy points.
2.) Start with the leftmost point and count how many squares you need to up to get to your second point.
3.) Count how many squares you need to go to the right.
4.) Simplify, and you've found your constant of proportionality.
Answer:
The future value is: RS 132867.075
Step-by-step explanation:
Given
--- present value
--- annual rate
--- number of times compounded (3 years/ 6 months)
Required
The future value
This is calculated as:
<em>Hence, the future value is: RS 132867.075</em>
Answer:
1820
Step-by-step explanation:
The sum of the first n terms of a geometric series with common ratio r and first term a is:
a(1-r^n)/(1-r). Plugging this in 5(1-3^6)/(1-3)=1820
Given that the triangle is dilated by factor 3, the image will be found as follows;
The object is at:
A(-7,-3), B(-3,-2), C(-4,-5)
when the image was enlarged the new coordinates will be:
A'=3(-7,-3)=(-21,-9)
B'=3(-3,-2)=(-9,-6)
C'=3(-4,-5)=(-12,-15)
since the image is centered at the point (-7,-6), the final point will be at:
A"=[(-21+-7),(-9+-6)=(-28,-15)
B''=[(-9+-7),(-6+-6)]=(-16,-12)
C''=[(-12+-7),(-15+-6)]=(-19,-17)
thus the coordinates of the final image are:
A''(-28,-15),B''(-16,-12),C''(-19,-17)
