Answer:
B
Step-by-step explanation:
it means we assume that the progression between 2 interval points is linear (a straight line from the begin of the interval to the end of the interval).
so, a length of 9.5 in falls into the interval [9, 11].
in this interval we see that the change rate is (21 - 11)/(11 - 9) = 10/2 = 5/1
that means for every inch longer we expect 5 oz more.
the line equation there is
y = 5x + b
11 = 5×9 + b
11 = 45 + b
-34 = b
so, the line is
y = 5x - 34
for x = 9.5
y = 5×9.5 - 34 = 47.5 - 34 = 13.5 oz
B is with 13.4 the closest right answer.
First, multiply the 1,500 by 4.3% to come up with $64.50 every three months (the question says compounded quarterly).
$64.50 x 4(quarters in a year) = $258.00 per year
$258.00 x 6 years = $1,548.00
$1,500.00 + $1,548.00 = $3,048.00 balance after six years
Answer:
N(2,3)
Step-by-step explanation:
According to the Question,
- Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6).
- Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).
Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)
- Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).
Thus. N(a,b) = (1+3)/2 , (6+0)/2 ⇒ N(2,3)
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 4