Answer:
B. 0.159
A = taking history class
B= taking sociology class
P(A) = 0.051
P(B) = 0.32
A ÷ B = 
= 0.159 Rounded the the nearest hundredth
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
Answer: n=8
Step-by-step explanation:
-8(n-6)=-16
-8n+48=-16
-8n=-64
n=8
there are 60 minutes per hour
24/60 = 0.4 miles per minute
0.4*5 = 2
they will ride 2 miles in 5 minutes
Answer:
3
Step-by-step explanation:
look at the sides
