Answer:
911,690.
Step-by-step explanation:
Please consider the complete question.
A city has a population of 390,000 people. Suppose that each year the population grows by 6.75%. What will the population be after 13 years? Round your answer the nearest whole number.
We will use exponential growth formula to solve our given problem.
, where,
y = Final value,
a = Initial value,
r = Growth rate in decimal form,
![6.75\%=\frac{6.75}{100}=0.0675](https://tex.z-dn.net/?f=6.75%5C%25%3D%5Cfrac%7B6.75%7D%7B100%7D%3D0.0675)
![y=390,000\cdot (1+0.0675)^x](https://tex.z-dn.net/?f=y%3D390%2C000%5Ccdot%20%281%2B0.0675%29%5Ex)
![y=390,000\cdot (1.0675)^x](https://tex.z-dn.net/?f=y%3D390%2C000%5Ccdot%20%281.0675%29%5Ex)
To find the population after 13 years, we will substitute
in population growth equation as:
![y=390,000\cdot (1.0675)^{13}](https://tex.z-dn.net/?f=y%3D390%2C000%5Ccdot%20%281.0675%29%5E%7B13%7D)
![y=390,000\cdot 2.3376661492982871](https://tex.z-dn.net/?f=y%3D390%2C000%5Ccdot%202.3376661492982871)
![y=911689.798226331969](https://tex.z-dn.net/?f=y%3D911689.798226331969)
Upon rounding to nearest whole number, we will get:
![y\approx 911,690](https://tex.z-dn.net/?f=y%5Capprox%20911%2C690)
Therefore, the population of the city after 13 years would be 911,690.
Discount, as you are lowering the item price from 100% (Default ) to 75%
Discount = 100% - 75% = 25%
If it was required to find the discount.
discount = 0.25 x Price.
newPrice = 0.75 x Price
Original price = Discount + new Price.
Answer: -16
Step-by-step explanation: not really sure if it's correct though
Answer:
0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.
Step-by-step explanation:
We have only the mean, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester.
This means that ![\mu = 7](https://tex.z-dn.net/?f=%5Cmu%20%3D%207)
What is the probability that more than 3 students will have their automobiles stolen during the current semester?
This is:
![P(X > 3) = 1 - P(X \leq 3)](https://tex.z-dn.net/?f=P%28X%20%3E%203%29%20%3D%201%20-%20P%28X%20%5Cleq%203%29)
In which
![P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)](https://tex.z-dn.net/?f=P%28X%20%5Cleq%203%29%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%201%29%20%2B%20P%28X%20%3D%202%29%20%2B%20P%28X%20%3D%203%29)
So
Then
![P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.00091 + 0.00638 + 0.02234 + 0.05213 = 0.08176 ](https://tex.z-dn.net/?f=P%28X%20%5Cleq%203%29%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%201%29%20%2B%20P%28X%20%3D%202%29%20%2B%20P%28X%20%3D%203%29%20%3D%200.00091%20%2B%200.00638%20%2B%200.02234%20%2B%200.05213%20%3D%200.08176%0A)
![P(X > 3) = 1 - P(X \leq 3) = 1 - 0.08176 = 0.91824](https://tex.z-dn.net/?f=P%28X%20%3E%203%29%20%3D%201%20-%20P%28X%20%5Cleq%203%29%20%3D%201%20-%200.08176%20%3D%200.91824)
0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.
Answer:
false false false true true
Step-by-step explanation:
you got the first four wrong.