Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
...(i)
Where, q is quotient and
is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting
in (i), we get

So, given number is in the form of
, where q is an integer.
On dividing
by 26, we get




Since q is an integer, therefore (30q+1) is also an integer but
is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.
It is in the air 5.625 seconds.
Using the quadratic formula,

0 is when the ball is first launched, 5.625 is when it hits the ground again.
Answer:
Point to point indexed annuity.
Step-by-step explanation:
An indexed annuity is linked to specific index performance. Point to point indexed annuity is the one which gives interest on the basis of index percentage change. The interest credit is calculated by taking the percentage change between the beginning and end points of the index.
Answer:
D is correct.
Step-by-step explanation:
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Answer:
Length 34 cm
Width 8 cm
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
The perimeter of rectangle is equal to
P=2(x+y)
P=84 cm
so
84=2(x+y)
42=x+y ----> equation A
x=4y+2 -----> equation B
substitute equation B in equation A and solve for y
42=(4y+2)+y
5y=42-2
y=40/5=8 cm
Find the value of x
x=4y+2 ----> x=4(8)+2=34 cm
The dimensions are
Length 34 cm
Width 8 cm