Solution :
[tex]$T_1$[/tex] = k.n (cost proportional to quantity)
35000 = k . 700
k = [tex]$\frac{35000}{700}$[/tex]
= 50
So [tex]$T_1$[/tex] = 50 n
Now [tex]$T_2=Pn^2$[/tex] (cost proportional to square of n)
[tex]$3430= P(700)^2$[/tex]
3430 = 490000 P
[tex]$P = \frac{3430}{490000}$[/tex]
[tex]$P = \frac{7}{1000}$[/tex]
[tex]$T_2=\frac{7}{1000}n^2$[/tex]
Now, [tex]$T_3= 7000$[/tex] (fixed)
Therefore,
Total, [tex]$T=T_1+T_2+T_3$[/tex]
[tex]$T=50n+\frac{7}{1000}n^2+7000$[/tex]
[tex]$T=0.007n^2+50n+7000$[/tex]
The required formula in terms of T and n is T = 0.000[tex]n^{2}[/tex] + 50 n +7000.
Given that ,
The total daily cost = T
When producing and storing n items is the sum of production, storage and fixed costs.
The manufacturing cost of a product when 700 items produced = $35000 dollars per day.
Daily storage cost of when 700 items are stored = $3430 dollars
We have write the formula in terms of total daily cost T and n stored items.
According to the question,
The cost to manufacture a product is proportional to the quantity produced, with a cost of $35000 dollars per day when 700 items are produced.
Where ,total daily cost T and n stored items.
[tex]T_1 = k . n[/tex]
$35000 = k.700
[tex]k = \frac{35000}{700}[/tex]
k = $50
The cost to store n items is proportional to the square of n, with a daily storage cost of $3430 dollars when 700 items are stored.
[tex]T_2 = pn^{2}[/tex]
$3430 = P [tex](700)^{2}[/tex]
$3430 = P 490000
[tex]P = \frac{3430}{490000} \\\\P = \frac{7}{1000}[/tex]
There is a fixed daily cost of $7000.
[tex]T_3 = 7000[/tex]
Combine all the equation ,
Where T = [tex]T_1 = T_2 = T_3[/tex] and p = k =n
T = 0.000[tex]n^{2}[/tex] + 50 n +7000
Hence, The required formula in terms of T and n is T = 0.000[tex]n^{2}[/tex] + 50 n +7000.
For the more information about System of equations click the link given below.https://brainly.com/question/14418346
In honors math increased by 12% in this year students-
if S represents students than an expression to represent this is 1.12S
True or false
Answer:
True I think.
Step-by-step explanation:
True, An expression to represent this is, 1.12S
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
In honors math increased by 12% in this year students.
Now, if S represents students.
Then, An expression to represent this situation is,
⇒ S + 12% of S
⇒ S + 0.12S
⇒ S (1 + 0.12)
⇒ 1.12S
Thus, The expression is true.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
How does the value of 874.12 change if the decimal point is moved two places to the left?
I would think it would be 8.7412
Which inequality is a true statement?
Select each correct answer.
A −4≤−5
B −4=−5
C −4≥−5
D −4>−5
E −4<−5
Answer:
C and D are the right answers
Step-by-step explanation:
Can you help me I’ll give Brainlies 20 point
How many different committees can be formed from 8 teachers and 39 students if the committee consists of 2 teachers and 4 students?
Answer:
Step-by-step explanation:
8 učiteľov 39 študentov
1 výbor = 2 učitelia + 4 študenti
8 učiteľov :2=4
39 študentov :4= 9,75
Takže máme 4 výbory ...viacej to nemôže byť aj keď nám zostávajú študenti pretože je daný počet učiteľov...
Answer: 2303028
Step-by-step explanation:
Estimate the sum to 518+251
Answer:
If you need to estimate then 770?
Step-by-step explanation:
520+250=770
3.) There are 1,000 marbles in a large box. Johnny took a scoop of marbles from the box. He
counted 15 red marbles, 20 green marbles, and 5 blue marbles. If the scoop was a good
sample of the marbles in the large box, how many red marbles would you expect to find in
the large box?*
O A) 150 reds
O B) 375 reds
O C) 600 reds
OD) 800 reds
Answer: B) 375 reds
Step-by-step explanation:
Every 40 marbles 15 are red.
1000/40=25
25 x 15= 375
GCF QUESTION FIRST TO ANSWER WITH THE CORRECT ONE AND EXPLAIN IT TO ME WILL GET BRAINLIEST
Answer:
2a^2
Step-by-step explanation:
I can't really explain the GCF/LCM type problems ,my sincere apologies
find square root of 128881 by division method
Order these numbers from least to greatest.
8.4051, 8.009, 8.4, 8.09
Answer:
8.009, 8.09, 8.4,8.4051
Step-by-step explanation
the 8.009 goes first because since it has zeros in it it would be the lowest than 8.09 is the next smallest 8.4 is the next big number because four is greater than zero and the biggest number because its has the bigger numbers in it.
Hope my explanation makes sense
Hope this is right
Good luck
Help 8th grade math... it's hard lol
Answer:
y = 7
Step-by-step explanation:
The equation of the line is y = 7 because since it's a horizontal line the y value will always stay the same, and the x value will always be changing. Therefore you could draw a line straight across the y-axis at 7
A food processing plant is packaging 32oz bags of coffee beans. The tolerance is 0.25 ounces. 100 bags of coffee were weighed, and the number at each weight is shown in the table below:
Weight # of bags
31.25. 1
31.7. 3
31.8. 3
31.83. 6
31.9. 15
32. 49
32.1. 14
32.2. 5
32.24. 2
32.3. 2
If more than 1 in 10 bags is outside of the acceptable tolerance, the bagging line is paused until the problem is identified. Does the line need to be paused?
Answer: No
Step-by-step explanation:
In a certain card game, only the thirteen cards that are Hearts are used, and each player is dealt a hand of just two cards. How many ways are there to deal hands of two cards each to each of three players from a 13-card deck comprised of just the Hearts?
Solution :
It is given that only 13 cards that are Hearts that is used in a certain game.
And 2 hearts to each of the 3 players.
Therefore, the number of ways is
= [tex]$^{13} C_2 \times ^{11} C_2 \times ^{9} C_2$[/tex]
[tex]$= \frac{13 !}{11 ! \times 2!} \times \frac{11 !}{9 ! \times 2!} \times \frac{9 !}{7 ! \times 2!} $[/tex]
[tex]$=\frac{13 !}{7! \times 2! \times 2! \times 2!}$[/tex]
= 120 number of ways
a positive number is always___ than a negative number
it's always a larger number.
Which of the following represents the greatest percent error?
A $10 underpayment on a $30 restaurant bill
B Hope to make 20 bracelets in a week and actually make 25
C
Actual ->
Error->
D Incorrectly estimate a length of 100 cm to be 125 cm
When there is actual error so it shows the greatest percent error. Therefore, the option c is correct.
What is the percent error?It shows the difference that lies between the estimated value and the actual value when we compare to the actual value also it should be shown in the percentage form.
Therefore, When there is actual error so it shows the greatest percent error. Therefore, the option c is correct.
Learn more about an error here: https://brainly.com/question/3388972
can someone help me with a question i will give brainlyest
Answer:
what is the question
Reduce the fraction to the lowest term
[tex] \frac{4}{8} [/tex]
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To reduce the fraction to the lowest term, we divide the like term by the GCF of its numerator and denominator.
Here,
As 4 and 8 have the GCF as 4 itself. We divide both the numerator and denominator with the GCF (4).
Hence,
[tex]\frac{4}{8}\\=\frac{4}{8}/\frac{4}{4} \\=\frac{4/4}{8/4} \\=\frac{1}{2}[/tex]
What is an equation of the line that passes through the points (5,-2) and ( -5,0)?
Put your answer in fully reduced form.
9514 1404 393
Answer:
y = -1/5x -1
Step-by-step explanation:
When given 2 points, it can work well to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (0 -(-2))/(-5 -5)(x -5) +(-2)
y = 2/(-10)(x -5) -2
y = -1/5x -1 . . . . . eliminate parentheses and collect terms
Michael has an average daily balance on his credit card of $327.50. His credit card charges 11.99% annual interest. What will his monthly finance charge be?
Answer:
i Think its 36.03
Step-by-step explanation:
np!
What is the solution to the following inequality?
*** <5
O w>4
0 > 2
O <4
0 0 <16
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Inequalities.
so we get as,
(w+6)/2 < 5
so we get as,
w+6 < 10
=> w < 10-6
=> w < 4
so the answer is,
w < 4
I need help on all three questions (geometry)
Answer:
x = -7
m<GFD = 50°
m<CFD = 40°
Segment FD doesn't bisect <CFG because the angles aren't equal.
Step-by-step explanation:
<CFD and <GFD are complementary angles and their sum is 90°
-5x + 5 -7x + 1 = 90° add like terms
-12x + 6 = 90
-12x = 84 divide both sides by -12
x = -7
m<CFD is -5x + 5 ➡ (-5)×(-7) + 5 = 40°
m<GFD is -7x + 1 ➡ (-7)×(-7) + 1 = 50°
Will mark brainliest!
Answer:
4.817+9.099+17.008=30.924
484.603-48.198=436.405
Estimation 5+9+17=31
485-48=437
Just round each decimal to the nearest whole number and add or subtract
Answer:
first blank: 30.924
second blank: 436.405
Step-by-step explanation:
We can estimate by rounding numbers and adding
What is the quotient of 6 and -1/2?
find the slope of the line passing through the given points or the given line.
Answer:
y = -1
Step-by-step explanation:
since this is a straight, horizontal line, we know that this will just be a y value line
since the line passes through the y axis at y = -1, this is the equation for the line
y = -1
-(x + 3) -2(4x -3)
guys pls
Answer:
-9x+3
Step-by-step explanation:
remove parenthesis which gives you -x-3-8x+6
collect the like terms add -x to 8x
gives you -9x+3
What are the x and y intercepts???
Answer:
X intercept = 6
Y intercept = -3
Step-by-step explanation:
An intercept is where the line goes through the y and x axis on the axis!
jordan can jog 1/3 of a mile in 1/6 of an hour.what is his speed in miles per hour
Answer:
cook
Step-by-step explanation:
Suppose 49% of the population has a retirement account. If a random sample of size 896 is selected, what is the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3%?
Answer:
The probability is [tex]P( |\^ p - p | < 0.03 ) = 0.9275[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.49[/tex]
The sample size is n = 896
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma_{p} = \sqrt{ \frac{p(1 -p )}{n} }[/tex]
=> [tex]\sigma_{p} = \sqrt{ \frac{0.49(1 -0.49 )}{896} }[/tex]
=> [tex]\sigma_{p} = 0.0167[/tex]
Generally the the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is mathematically represented as
[tex]P( |\^ p - p | < 0.03 ) = P( \frac{ | \^ p - p|}{\sigma_p } < \frac{0.03}{0.0167} )[/tex]
[tex]\frac{|\^ p - p |}{\sigma_p } = |Z| (The \ standardized \ value\ of \ |\^p - p| )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(|Z| < 1.796 )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(- 1.796 < Z < 1.796 )[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = P(1.796 < Z) - P(Z < -1.796 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.796 and - 1.796 is
[tex]P(Z < -1.796 ) = 0.036247[/tex]
[tex]P(1.796 < Z) = 0.96375[/tex]
So
[tex]P( |\^ p - p | < 0.03 ) = 0.96375 - 0.036247[/tex]
=> [tex]P( |\^ p - p | < 0.03 ) = 0.9275[/tex]
My last 2 questions so I felt generous. (Answer them for brainiest)
Answer:
Step-by-step explanation:
19. 18-4.62=13.38 to spend on the systems or 6.69 a piece
20. 45000+300m=60000
m=50
45000+300m>60000
He needs at least 50 machines to make the 60000.
PLEASE HELP!!!!!!
Matt, Steve and John sold magazines for a school fundraiser. John sold two less than Matt. Steve sold twice as many as John. Write a simplified expression representing the total amount of magazines sold
Answer:
4x - 6
Step-by-step explanation:
Matt: x
Steve: 2(x - 2)
John: x - 2
Total magazines sold:
x + 2(x - 2) + (x - 2)
x + 2x - 4 + x - 2
4x - 6