Answers
9514 1404 393
Answer:
(4) 750 < p < 1500
Step-by-step explanation:
The total cost for p people is ...
c = 750 +2.25p
The average cost per person is this total divided by the number of people:
c/p = (750 +2.25p)/p
c/p = (750/p) +2.25
Natasha wants this to be between 2.75 and 3.25:
2.75 < c/2 < 3.25
2.75 < 750/p +2.25 < 3.25 . . . . . . use the expression for c/p
0.50 < 750/p < 1.00 . . . . . . . . . . . subtract 2.25
We can split this to two inequalities to find the limits of p.
Left one
0.50 < 750/p
0.50p < 750 . . .multiply by p
p < 1500 . . . . . . multiply by 2
Right one
750/p < 1
750 < p . . . . . . multiply by p
These bounds on p can be summarized as ...
750 < p < 1500 . . . . matches choice (4)
_____
Additional comment
Once you realize that the fixed costs will be divided by the number of people attending, the maximum cost you want ($1 more than the per-person charge) will set the minimum number of people. To have the $750 fixed cost contribute only $1 to the cost per person, there must be at least 750 people to share that cost. The only answer choice with a 750 person minimum is (4).
Related Questions
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3.5 ft long with a diameter of 1.8 ft. Suppose oil is drained at a rate of
1.7 n' per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for at, and round your answer to the nearest minute. Do not round any intermediate computations.
Answers
Answer:
5 minutes
Step-by-step explanation:
Volume of cylinder = πr²h
Radius, r = diameter / 2 = 1.8 /2 = 0.9
Volume of cylinder = 3.14 * 0.9² * 3.5
Volume = 8.9019 feet³
Drain rate = 1.7 ft per minute
Volume / drain rate
8.9019 / 1.7
= 5.2364117
= 5 minutes (nearest minute)
ramesh can complete a piece of work in 10 days he worked for 4 days and left. if dinesh complete the remaining part of the work ,how much work was done by dinesh
Answers
Answer:
100% of the work was done by him
$40,000 is invested at a rate of 5.7% that is compounded semiannually.
How much money is in the account after 17 years?
Answers
Answer:
$[tex]$78760.00[/tex]
Step-by-step explanation:
You want to calculate the interest on $40000 at 5.7% interest per year after 17 years.
The formula we'll use for this is the simple interest formula, or:
[tex]I=P*r*t[/tex]
Where:
P is principal amount, $40,000r is the interest rate, 5.7% per year, or in decimal form, [tex]\frac{5.7}{100} =0.057[/tex]t is the time involved, 17 yearsTo find the simple interest we multiply [tex]40000*0.057*17[/tex] to get
The interest rate is $38,760
Usually now, the interest is added onto the principal to figure some new amount after 17 years.
or 40000.00 + 38760.00 = 78760.00
=$78,760
What is the perimeter of the rectangle?
-5 inches
-6 inches
-10 inches
-12 inches
(40 points im ps)
Answers
Answer:
10 in.
Step-by-step explanation:
GIVEN :-
Length = 3 in.Width = 2 in.TO FIND :-
Perimeter of rectangleSOLUTION :-
Using the formula [tex]\boxed{Perimeter = 2(Length + Width)}[/tex] ,
Perimeter of the rectangle given in question = 2(3 + 2) = 10 in.
Answer: C or 10
Step-by-step explanation: Edge2023
Hey add me ages 11-13 please
Answers
What is the greatest common factor of 5 and 13?
Answers
Answer:
1
Step-by-step explanation:
List out factors of 13
13: 1,13
List out factors of 5
5: 1,5
GCF = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
The GCF is 1.
Step-by-step explanation:
Can anyone answer this
Answers
Answer:
700
Step-by-step explanation:
guess be like
(4x + 1)°
43°
PLEASE SOMEONE ONE HELPPPP!!
Answers
-180 minus given value (43)
180-43= 137
(4x+1)= 137
- get x by itself
4x+1=137
4x=137-1
4x= 136
x= 136/4
ANSWER: x=34
Answer:
x= 34
Step-by-step explanation:
(4x + 1 )° + 43° = 180° (due to linear pair)
4x+1+43 = 180
4x + 44 = 180
4x = 180 - 44
4x = 136
x = 136 ÷ 4
therefore, x = 34
help me pleaseee geometry help
Answers
Answer:
x = 8
Step-by-step explanation:
The perpendicular bisector tells us that XY is congruent to YZ. Therfore, we can set their equations as equal to eachother and solve for x.
Noah spins 2 spinners at the same time. Each spinner is numbered 1 through 4. If each spinner can land only in one of the numbered sections (not on a line), which list represents the sample space?
Select one:
List C
List B
List A
List D
Answers
Um, what are the lists look like? Step-by-step explanation:
f (x) = (3x^4 + 1)^2 ?
Answers
Answer:
72x^7+24x^3 (finding the derivative using the chain and power rules)
Step-by-step explanation:
Answer:
the answer is 8
Step-by-step explanation:
Find the length of the missing side. Express your answer in simplest radical form.
A 2106 cm
B. 22 cm
C. 27 cm
D. 47 14 cm
Answers
Answer:
D
Step-by-step explanation:
you use the Pythagorean theorem
It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
so mathematically
a2+b2=c2
a and b being the short sides and C being the Hypotenuse
so in our case
a= 10 cm
b= ?
c= 18
a2+b2=c2
(10cm)2+(b)2=(18cm)2
100cm2+b2=324cm2
b2=324cm2-100cm2
b2=224cm2
*putting both sides under a square root*
b=4sqrt14cm
please help me please
Answers
Answer:
the answer is B, aka 10
Step-by-step explanation:
my calculator
Answer: tbh i think its 10
Step-by-step explanation:
Use the number line below to find a fraction that is equivalent to 1/2
Answers
Answer:
4/8
Step-by-step explanation:
There are an infinite number of fractions equal to 1/2, but the number line in the question has 8 spaces, and shows 1 divided into 8 pieces. Therefore, the answer to this question is likely 4/8.
(may I ask why exactly this is put as a college level problem?)
Answer:
It should still be the same point.
Step-by-step explanation:
It should still be the same point, since the line did not increase in length, but the numbers of units has, and that does not affect the position of the half of the line.
The graph shows the function f(x).
Which equation represents f(x)?
C D
O f(x) = -3/7
5
4
Of(x) = -3/X-1
3
2
f(x)
Of(x) = 3/-8-1
1
Of(x) = 3-Y
-10-8-6-4
-2.
2
4
B
8 10
w
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
mathmiticians: impossible
Step-by-step explanation:
some random kid: the answer is approxamatly 47.7
The equation of f(x) is f(x)= −43x−3, the correct option is C.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
f(x) = -3/X-1
Now,
To find the equation of f(x), we need to identify the slope and the y-intercept of the line. The slope is the ratio of the vertical change to the horizontal change between any two points on the line. The y-intercept is the value of f(x) when x = 0.
Looking at the graph, we can see that f(x) passes through the points (-8, 3) and (0, -3). The slope can be calculated as:
slope=run rise= 0−(−8) f(0)−f(−8)=0+8−3−3=8−6=−43
The y-intercept can be found by plugging in x = 0 into the equation f(x) = slope x + y-intercept and solving for y-intercept:
f(0)=−43x0 + y-intercept
−3=y-intercept
Therefore, by the given function the answer will be f(x)=−43x−3.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ7
HELP ME ‼️
$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)
Answers
Answer:
median of (298, 196, 248) - 196
median of (379, 319) - 349
median of (276,198, 349) - 198
Step-by-step explanation:
When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.
Required:
Find an equation for Sn.
Answers
Solution :
If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.
Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,
[tex]a_1 = D[/tex]
[tex]a_2=D_c[/tex]
[tex]a_3 = Dc^2[/tex]
[tex]a_4 = (Dc^2)c= Dc^3[/tex]
....
[tex]a_n=Dc^{n-1}[/tex]
∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]
[tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]
[tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]
[tex]S-n=D . \frac{1-c^n}{1-c}[/tex]
Which angle measure is greater?
Answers
Answer: B
Step-by-step explanation:
which graph is the correct one ?
Answers
Answer:
For the First image the second one and for the Second image the first one
Step-by-step explanation:
Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
A. –2(9x + 4) = 12x + 18 – 86
B. 86 – 18x – 8 = 12x + 18
C. 2(9x + 4) = 86 – 12x – 18
D. x = 2
Answers
Answer:
D) x = 2
hope it helps
please mark brainliest
A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years
Answers
Answer:
$5,956.2
Step-by-step explanation:
First we need to find the amount after 5years using the formula
A =P(1+r)^n
A = 9000(1+0.06)^5
A = 9000(1.06)^5
A = 9000(1.3382)
A = 12,043.8
Interest after 5 years = 12,043.8 - 9000
Interest after 5 years = 3,043.8
Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2
The table shows a cricket clubs income in 2016 from a fete , a quiz and membership fees
Express as a ratio the income from the fete to the income from the quiz to the income from membership fees .
Give your ratio in it’s simplest form
Answers
Answer: 5:2:10
Income from fete = £250
13 x 5 + 35 = 100
25 x 20 = 500
250:100:500
Then simplify ratio -
25:10:50
5:2:10
SENORMATHWIZ AM I CORRECT HURRY I HAVE 5 MIN!!!!
Answers
Answer:
its actually c
Step-by-step explanation:
6*10=60+40=100
100[tex]\geq[/tex]100
Answer:
C
Step-by-step explanation:
In order to graph we must first simplify the inequality
40 + 10x ≥ 100
step 1 subtract 40 from each side
40 - 40 cancels out
100 - 40 = 60
we now have 10x ≥ 60
step 2 divide each side by 10
10x/10 = x
60 / 10 = 6
we're left with x ≥ 6
Now to graph
We will start with a closed circled on 6 and because the inequality sign is facing the varibale (x) the line will go in the direction of the right
Thus, the answer is C
plz help :{
no bad answers plz!!!
Answers
It is not periodic. A periodic dataset is a dataset that repeats the same pattern over time.
A hose can fill a swimming pool in 12 hours. Another hose needs 2 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the
pool?
hr
Answers
Answer:
6
Step-by-step explanation:
6 because 12 divided by 2 is 6 and it takes 2 hours to fill yw
Find the slope and the y- intercept of the line y=6x-3
Answers
Answer:
Slope: 6
Y-intercept: -3
Step-by-step explanation:
The value of x is the slope, the value of the y-intercept is the number with no variable. Therefore, the slope is 6 and the y-intercept is -3.
If this has helped please mark as brainliest
Answer:
m=6
Step-by-step explanation:
we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required
Answers
Answer:
A sample of 1077 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
42% of freshmen do not visit their counselors regularly.
This means that [tex]\pi = 0.42[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}[/tex]
[tex]0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2[/tex]
[tex]n = 1076.8[/tex]
Rounding up:
A sample of 1077 is required.
I forgot to put the whole i-ready question ;_;
pls my brain is about to explode to oblivion...
Answers
What is the location of X' when X is translated 3 units left and 9 units down?
Answers
Answer:
-3,-9
Hope this helps
Answer:
(-3,-9)
Step-by-step explanation:
X goes first then Y, since they are both negative they go backwards on the graph
yesterday there were 36 problems assigned for math homework. karrie did 75 percent of them correctly. how many problems did karrie get right
Answers
Answer:
27.
Step-by-step explanation:
75% = 75/100 = 3/4.
Number correct = 3 *36/4
= 3 * 9
= 27.