Answer:
9
Step-by-step explanation:
You have to read your givens carefully and then get rid of the information you don't need.
The key fact is that CM = 3
The centroid divides the median into a one to two ratio. So
1/2 = CM/DM where D is apex of the triangle. It is where two of the sides meet, plus the median going to C.
1/2 = 3/DM Cross multiply
DM = 2 * 3
DM = 6
Therefore the length of the median going to C is DM + CM = 6 +3 =9
If she has 6 more 4 sent stamps that takes off 24 cents from the total of 114 which equals 90. 6x9=54 4x9=36
54+36=90 9+4=13. So you have 9, 6 cent stamps & 13, 4 sent stamps
3:5 is the ratio of cups of rice to cups of water.
Answer:
537 students
11 days
Step-by-step explanation:
5000
y= -----------------
(1+4999e^-0.8t)
a) after 8 days means t =8
5000
y= -----------------
(1+4999e^-0.8*8)
5000
y= -----------------
(1+4999e^-6.4)
5000
y= -----------------
(1+8.306)
5000
y= -----------------
(9.306)
y =537.28
Rounding to the nearest student
y = 537 students
b) 1/2 the student population means y =2500 (The 5000 is the student population)
5000
2500= -----------------
(1+4999e^-0.8t)
Multiply each side by (1+4999e^-0.8t)
2500 (1+4999e^-0.8t) = 5000
Divide each side by 2500
(1+4999e^-0.8t) = 5000/2500
(1+4999e^-0.8t) = 2
Subtract 1
(4999e^-0.8t) = 2-1
(4999e^-0.8t)=1
Divide by 4999
(4999/4999e^-0.8t)=1/4999
e^-0.8t=1/4999
Take the natural log of each side
ln(e^-0.8t)=ln(1/4999)
-.8t = ln(1/4999)
Divide by -.8
-.8/-8t = -1/.8 *ln(1/4999)
t = -1/.8 *ln(1/4999)
t≈10.6462
Rounding, it will take 11 days
Answer:0-9
24
10-19
20
20-29
32
Step-by-step explanation:
