100 POINTS
2 answers:
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Answer:
Option A earns higher interest($84115.58)
the difference in interest between the two option is $197.9
Step-by-step explanation:
In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns
Given data
Principal P= $43,000
Rate r= 6%= 0.06
time t= 3years
n= 4 (applicable for compound interest compounded quarterly)
solving for option A gives her 6% compounded quarterly
the compound interest formula is
Interest is =$8411.58
solving for option B which gives her 6% simple interest annually
the simple interest formula is
Interest is= $8213.68
calculating the diference in interest between the two options we have
= $197.9
Option A earns higher interest
Answer:
b. 0.25
c. 0.05
d. 0.05
e. 0.25
Step-by-step explanation:
if the waiting time x follows a uniformly distribution from zero to 20, the probability that a passenger waits exactly x minutes P(x) can be calculated as:
Where a and b are the limits of the distribution and x is a value between a and b. Additionally the probability that a passenger waits x minutes or less P(X<x) is equal to:
Then, the probability that a randomly selected passenger will wait:
b. Between 5 and 10 minutes.
c. Exactly 7.5922 minutes
d. Exactly 5 minutes
e. Between 15 and 25 minutes, taking into account that 25 is bigger than 20, the probability that a passenger will wait between 15 and 25 minutes is equal to the probability that a passenger will wait between 15 and 20 minutes. So: