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Nikitich [7]
3 years ago
5

Please help me with this homework

Mathematics
1 answer:
9966 [12]3 years ago
3 0
There you go. Depends on which value of pi you use.

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An apartment complex on Ferenginar with 250 units currently has 223 occupants. The current rent for a unit is 892 slips of Gold-
Triss [41]

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 =

\frac{dR}{dy}=0\\=2(223-y)-(892+2y)=0\\=446-2y-892-2y=0\\=-446-4y=0\\y=\frac{-446}{4}=-111.5

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

Optimal rent - 838 slips of Gold-Pressed latinum

8 0
3 years ago
William sold half of his comic books and then bought 14 more he now has 24 with how many did he have in the beginning
Lera25 [3.4K]
Let the number of comic books be X
if we add 14 to X = 24
so we will find the value of X to get half initial number of comic books William had.
14+X=24
X=24-14
X=10
so the total innitial number of comic books William had is 10+10=20 books.
3 0
3 years ago
Read 2 more answers
Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 100
marissa [1.9K]

The mean is the average of the numbers.

It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Let the number of sit-ups you have to do Sunday be x. Then the sum of all sit-ups is

100+65+120+150+90+0+x=525+x.

The number of days is 7.

Thus, the mean is

\text{mean}=\dfrac{525+x}{7}.

You know that the mean number of sit-ups per day is 100, equate these two means and solve the equation:

\dfrac{525+x}{7}=100,\\ \\525+x=700,\\ \\x=700-525,\\ \\x=175.

Answer: 175 sit-ups

5 0
3 years ago
At a movie theater, an adult ticket costs $10 and a child ticket costs $6. There were 350 people at a movie showing. The revenue
Wittaler [7]
X - number of the adults, y  - number of children;
The system is:
10 x + 6 y = 3292
x + y = 350   =>   y = 350 - x
----------------------
10 x + 6 * ( 350 - x ) = 3292
10 x + 2100 - 6 x = 3292
4 x = 3292 - 2100
4 x = 1192
x = 1192 : 4
x = 298
y = 350 - 298
y = 52
Answer:
There were 598 adults and 52 children at the showing.
6 0
3 years ago
Beth will borrow $10,000 which earns 4% compound interest and she will repay that amount in 20 years. How much interest was earn
Serggg [28]

Answer:

I=\$11,911.23

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the amount that she will repay  

P is the amount borrowed  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=20\ years\\ P=\$10,000\\ r=0.04\\n=1  

substitute in the formula above  

A=10,000(1+\frac{0.04}{1})^{1*20}  

A=10,000(1.04)^{20}  

A=\$21,911.23  

Find out the interest

I=A-P

substitute the values

I=\$21,911.23-\$10,000=\$11,911.23

5 0
3 years ago
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