The total number of students is 14+36, or 50. So the chance that a selected student is female is 36/50, or 18/25.
G. From the origin move right 3 units,then up 6 units
H. From the origin move left 2 units,then up 11 units
J. From the origin move right 8 units, then down 10 units
K. From the origin move left 16 units, then down 20 units
L. Plot the first point at the origin then move up 5 units
M. From the origin move left 14 units and plot the next point at the origin
Answer:
8 days
Step-by-step explanation:
On day 8, Isabella will save 256 nickels, bringing her total to 510.
_____
The number of nickels saved on day n is 2^n. The total is 2^(n+1)-2.
_____
The above can be written down from your knowledge of binary sequences. If you want a more formal development, read on.
__
The number of nickels saved on day n is a geometric sequence with first term 2 and common ratio 2. The n-th term of the sequence is ...
an = a1·r^(n-1) = 2·2^(n-1) = 2^n
The sum of n terms of the sequence is ...
S = a1(r^n -1)/(r -1) = 2(2^n -1)/(2-1)
S = 2^(n+1) -2
__
We want S > 500, so ...
500 < 2^(n+1) -2
502 < 2^(n+1)
251 < 2^n
log(251) < n·log(2)
n > log(251)/log(2)
n > 7.97 . . . . . . . . 8 days or more to save more than 500 nickels
Answer:
D (-6, -34)
Step-by-step explanation:
y = 5x - 4
Let x = -6
y = 5(-6) - 4
=-30 -4
= -34
x = -6, y= -34
