Answer:
Step-by-step explanation:
Given data
Total units = 250
Current occupants = 223
Rent per unit = 892 slips of Gold-Pressed latinum
Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum
After increase in the rent, then the rent function becomes
Let us conside 'y' is increased in amount of rent
Then occupants left will be [223 - y]
Rent = [892 + 2y][223 - y] = R[y]
To maximize rent =
Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.
Since there are only 250 units available;
![y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units](https://tex.z-dn.net/?f=y%3D-250%2B223%3D-27%5C%5C%5C%5Cmaximum%20%5C%2Cprofit%20%3D%5B892%2B2%28-27%29%5D%5B223%2B27%5D%5C%5C%3D838%20%2A%20250%5C%5C%3D838%5C%2Cfor%5C%2C250%5C%2Cunits)
Optimal rent - 838 slips of Gold-Pressed latinum
Find the measures of the three angles, in radians, of the triangle with the given vertices: d(1,1,1), e(1,−5,2), and f(−2,2,7).
Oduvanchick [21]
Consider triangle DEF with vertices D(1,1,1), E(1,-5,2) and F(-2,2,7).
1. Find
Then
2. Find
Then
3. Find
Then
4.
Answer: the interest rate is 6%
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
A = $4482
P = 1000
t = 25 years
Therefore,
4482 = 1000 x 2.7183^(r x 25)
4482/1000 = 2.7183^25r
4.482 = 2.7183^25r
Taking ln of both sides, it becomes
Ln 4.482 = 25rLn2.7183
1.5 = 25r
r = 1.5/25 = 0.06
r = 0.06 × 100 = 6%
<em>Note. The original question with options given on the bottom</em>
Answer:
F - 1, B -2, A - 3, D - 4, C - 5, E - 6
Step-by-step explanation:
<u>F. Sample </u>
- The 25 customers that the manager observed leave
<u>B. Population </u>
- All of the bank's customers
<u>A. Statistic </u>
- The average length of time that the 25 customers waited before leaving the bank
<u>D. Parameter </u>
- The average length of time that all customers will wait before leaving the bank
<u>C. Data </u>
- The list of times for the 25 customers who left the bank
<u>E. Variable </u>
- The length of time a customer waits before leaving the bank<em>
</em>
<em>========================================================</em>
Question
<em>A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and leave the bank. Match the vocabulary word with its corresponding example.</em>
<em>---------------------</em>
1. The 25 customers that the manager observed leave
2. All of the bank's customers
3. The average length of time that the 25 customers waited before leaving the bank
4. The average length of time that all customers will wait before leaving the bank
5. The list of times for the 25 customers who left the bank
6. The length of time a customer waits before leaving the bank<em>
</em>
<em>---------------------</em>
- A. Statistic
- B. Population
- C. Data
- D. Param
eter
- E. Variable
- F. Sample
