Answer:
5/4
Step-by-step explanation:
Lets suppose a quantity A that has a value of x
A = x
25% of A is = x/4
now adding this 25% to get 25% increase in the original value
A' = x+ x/4
A' = 5x/4
A' = 5*A/4
This means that , in order to increase the value by 25% in a single step we must multiply the the original value by 5/4.
we can check if a given sequence is geometric or not by checking the terms present in it ,
Let us find ratio of each term with it's previous term
if that ratio comes out same for every two consecutive terms then it is a geometric sequence , otherwise it is not geometric sequence .
Let us work on first one : given is : -1,1,-1,1.............
second term/ first term = 1/-1 = -1
third term/ second term = -1/1 = -1
fourth term / third term = 1/-1 = -1
fifth term/ fourth term = -1/1 = -1
because that ratio is same so it is a geometric sequence .
* let us now work with second sequence .
eE
second term/ first term = -6/-2 = 3
third term/ second term = -18/ -6 = 3
fourth term / third term = -54 / -18 = 3
hence this is also geometric sequence .
Answer : both are geometric sequence .
$42,000 x .08 = $3,360 raise
$42,000 + $3,360 = $45,360 salary for the next year
Well, the common denominator of6 and 15 would be three so you would get 2 and 3
the common denominator of 30 and 80 would be 10 and it would equal 3 and 8
Answer:
The midpoint of PR is;
(a + b, c)
Step-by-step explanation:
Here, we want to get the coordinates of the midpoint of PR
To get these, we make use of the midpoint formula
Mathematically, that will be;
(x,y) = (x1+y1)/2, (x2+y2)/2
(x1,y1) = (0,0)
(x2,y2) = (2a+2b, 2c)
The midpoint is thus;
(2a+2b)/2 , 2c/2
= (a + b, c )