Answer:
$11988
Step-by-step explanation:
Given that,
The unit cost is given by :
[tex]C(x)=0.7x^2-462x+88218[/tex]
We need to find the minimum unit cost.
For minimum cost,
Put [tex]\dfrac{dC}{dx}=0[/tex]
So,
[tex]\dfrac{d}{dx}(0.7x^2-462x+88218)=0\\\\1.4x-462=0\\\\x=\dfrac{462}{1.4}\\\\x=330[/tex]
Put x = 330 in equation (1).
[tex]C(330)=0.7(330)^2-462(330)+88218\\\\=\$11988[/tex]
So, the minimum unit cost is equal to $11988.
Auntie Sammy buys a hand bag. There was a discount
of 20%.
If Auntie Sammy paid $245, what was the original price?
Answer:
Step-by-step explanation:
I think the original proce would be $265
1. Subtract the percentage discount from 100
100 - 20= 80
2. Multiply the final price($245) by 100
245 × 100= 24,500
3. Divide the answer in step 2 by the answer in Step 1
24,500 ÷ 80= $306.25
answer is $306.25
How to check to ensure your answer is correct:
1. Multiply the "answer" by the discount price divided by 100. This will give the discount percentage in dollars.
$306.25 × 0.2( which is 20÷100)= $61.25(discount in dollars)
2. Subtract the discount in dollars from the "answer"
$306.25 - $61.25= $245(final price is the same as in the problem so it is correct)
OR
1. Multiply the original price by the number you get from step 1 in your problem divided by 100
$306.25 × 0.8(80 from the very first step divided by 100)= $245(the final price is the same given in the question)
can y'all pls help these☝️
Answer:
35x + 40
Step-by-step explanation:
$40 is the fee for the first day, then $35 is added for each additional day after the first day.
A bowl contains 10 red balls and 10 blue balls.A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color?
Answer:
5 balls
Step-by-step explanation:
Sorry if it's wrong.
A bag contains 10 blue counting chips and 10 red counting chips. What is the probability that, without looking, Miguel will pick a blue chip first, which he will keep, and on his second draw Miguel will select a red chip?
1/10
11/21
5/38
5/19
Answer: 5/19
Step-by-step explanation:
(probability of blue chip)/(total chips) x (probability of red chip)/(new total chips)
10/20 x 10/19 = 100/380
simplify: 5/19
After interviewing 1,200 people, a Gallup Poll reports with 95% confidence that 23% of adults exercise at least 3 times a week with a margin of error of 6%. Interpret the confidence level in the context of the scenario. If we were to select many random samples of from the same population and construct a 95% confidence interval using each sample, about % of the intervals would capture the exercise.
Answer:
1. 1,200 people
2. 95
3. true proportion of adults who
Step-by-step explanation:
find the volume of a cone with a height of 6 m and a base radius of 4 m.
The population of a city is 40,000 and the annual growth rate is 1.6%. Write an equation to model the population y after x years.
Y=40,000(1.016)^x
Explanation:
years= x
Predicted population= y
Initial population= 40000
you can find the population y after x years with the help of this function
For example:
If we want to know the population after 5 years, put x=5 and find y
Y after 5 years= 40000(1.016)^5
=43304
What is the opposite of - 1/4 ?
Answer:
1/4
Step-by-step explanation:
Find the total surface area. Round to the nearest hundredth if necessary.
Answer:
166
Step-by-step explanation:
multiply the 6 by 2 and then multiply 13 by 10
to get 166
What are the vertices of the hyperbola whose equation is = 1? (−17,−6) and (1,−6) (−15,−6) and (−1,−6) (−8,−15) and (−8, 3) (−8,−13) and (−8, 1)
Answer:
(-8, -15) and (-8, 3)
Step-by-step explanation:
got it right on test
option 3 on edge21
Answer:
c on edge
Step-by-step explanation:
I cant figure out what -2⅘÷(-7) IS
Wilson Swartz rents a car for 5 days at $51.29 a day and has unlimited miles. Wilson drives 198 miles and spends $29.90 on gasoline. The CDW fee is $15.50 per day. What is the total cost? What is the cost per mile?
Answer:
Total cost=333.95
Cost per mile=6.622
Step-by-step explanation:
5x51.29=256.45
5x15.50-77.50
256.45+77.50=333.95
Vending machines can be adjusted to reject coins above and below certain weights. The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram. If a vending machine is adjusted to reject quarters that weigh more than 5.81 grams and less than 5.53 grams, what percentage of legal quarters will be rejected by the vending machine
Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: [tex]P(x<5.53)+P(x>5.81)[/tex]
[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{5.33-5.67}{0.07})+P(\dfrac{x-\mu}{\sigma}>\dfrac{5.81-5.67}{0.07})\\\\=P(z<-4.857)+P(z>2)\approx0.02275 \ \ \ [By\ P-value\ calculator][/tex]
The percentage of legal quarters will be rejected by the vending machine = 2.275%
what does the model predict for the number of prizes won when you buy 10 tickets?
a - the model predicts that you will win 6 prizes when you buy 10 tickets.
b - the model predicts that you will win 19 prizes when you but 10 tickets.
c - the model predicts that you will win 4 prizes when you buy 10 tickets.
d - the model predicts that you will win 22 prizes when you buy 10 tickets.
Answer:
the answer is b
Step-by-step explanation:
top right corner
Answer:
the answer is b
Step-by-step explanation:
2.
Lisa is 1.50m tall. Sean is 35cm shorter. How tall is Sean
in metres?
Answer:
Sean is 1.15m
Step-by-step explanation:
35cm = 0.35m
Lisa is 1.5m tall and Sean is 0.35m shorter
1.5m - 0.35m = 1.15m
Sean is 1.15m
If the volume of a solid cone is 440cm3 and
its perpendicular height is 14cm. Determine
its base diameter to the nearest whole
number
O a. 5.5cm
b. 12cm
С. 6cm
d. 11cm
Answer:
11
Step-by-step explanation:
1/3 nr^2h = volume of a cone
1/3 x 22/7 x 14 x r^2 = 440
r^2 = 440 x 3 x 7/22 x 1/14
r^2 = 30
r = 30
r = 5
The base diameter to the nearest whole number is 11cm
The volume of a coneThe formula for calculating the volume of a cone is expressed as:
V =1/3πr²h
Given the folllowing parameters
V = 440cm^3
h = 14cm
Substitute the given parameters
440 = 1/3(22/7) * 14r²
440 = 44/3 * r²
10 = r²/3
r² = 30
r = 5.5cm
d = 11cm
Hence the base diameter to the nearest whole number is 11cm
LEarn more on volume of cone here; https://brainly.com/question/1082469
Find the difference: (6a + 6) - (3x - 2) - (2a + 4)
Answer:
4 a − 3 x + 4
Step-by-step explanation:
I just simplified everything together to get this answer.
Hope that this helped! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you!
Two interior angles of a
trapezoid measure 100
degrees and 80 degrees
respectively. If the other two
angles are congruent, what is
the measures of the two
angles?
Answer:
100 and 80
Step-by-step explanation:
Congruent means the same, so the other 2 angles are the same as 80 and 100
Please help ! Please help! I will heart you !
Answer:
x = 65
Step-by-step explanation:
x + 115 = 180
x = 65
Answer:
65 degrees
Step-by-step explanation:
180-115=65 degrees
The line that 115 degrees is on is equal to 180.
I need work shown as well
Answer:
Step-by-step explanation:
the area of the squared is 5 * 5 = 25
the area of the triangle is 1/2*base*height = 1/2*2*5= 5
the area of the circle is [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625
now add the pieces up for the total
25+5+19.625 = 49.625 [tex]in^{2}[/tex]
:)
First, find the area of the semi-circle.
A= pi*radius squared
Find your radius. The diameter is 5, half of that is 2.5
Input into the formula
A= pi*2.5^2
=3.14*6.25
=19.625 in^2
You can round that to about 19.6 inches.
Find the area of the square
A=s^2
= 5^2
= 25 in^2
Find the area of the triangle.
A= b*h/2
= 2*5/2
= 10/2
= 5 in^2
Add it all up.
19.6+ 25 + 5= 49.6
∴ 49.6 in²
Best of luck!
solve 3 - x/2 ≥ 15.
A. x ≤ - 24
B. x ≥ - 6
C. x ≥ - 24
D. x ≤ 6
Answer:
A
Step-by-step explanation:
subract the three on both sides to get 12. then multiple by -2. when multiplying or dividing by negatives you want to flip the sign
Answer:
A. X ≤ -24
Step-by-step explanation:
(3 - X/2 ≥ 15)2
6 - X ≥ 30
-X ≥ 30-6
-X ≥ 24
-X/-1 ≤ 24/-1
X ≤ -24
solve (x – 5)^2 = 17
Answer:
x = 5 ± √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMultiple RootsStep-by-step explanation:
Step 1: Define
(x - 5)² = 17
Step 2: Solve for x
[Equality Property] Square root both sides: x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides: x = 5 ± √17The area of parallelogram WXYZ is approximately 45 square units.
Parallelogram W X Y Z is shown. Sides W Z and X Y are congruent. The lengths of sides W X and Z Y are 10 units. Angle W Z Y is 115 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
What is the approximate perimeter of the parallelogram?
5 units
15 units
30 units
40 units
Answer:
30 units!
Step-by-step explanation:
Edge 2020, I got a 100% on the test
Answer:
30 units
Step-by-step explanation:
muah good luck guys!
Solve for m: K = 3a + 6m
Answer:
m = [tex]\frac{K-3a}{6}[/tex]
Step-by-step explanation:
subtract 3a first
then divide by 6
What is the first step to figure out the solutions for x in the following equation?
|x - 3| +2=6
HELP MEEEEEEE PLEASE
Answer:
choice 2) 2/9h
Step-by-step explanation:
It has to be a fraction so you would cross out the first answer.
Find the surface area of a basketball with a diameter of 10 in.
10 in
o 100T in
o 400T in
o 25T in?
o 10T in?
Answer:
100 pi in ^2
Step-by-step explanation:
The surface area of a sphere is
SA = 4 pi r^2
We need to find the radius
r = d/2 = 10/2 =5
SA = 4 * pi * (5)^2
= 4 * pi *25
= 100 pi in ^2
Which values should you plot to show a linear relationship?
Month Population
Log(population)
1
1400
3.146
2
2600
3.415
3
4700
3.672
4
9000
3.954
5
17000
4.230
6
32000
4.505
O A. "Population on the x-axis and "Log(population)" on the y-axis.
O B. "Month" on the x-axis and "Population" on the y-axis.
w
O C. "Month" on the x-axis and "Log(population)" on the y-axis.
O D. "Log(population)" on the x-axis and "Month" on the y-axis.
Answer:“ C ”
“month” on the x axis and “log” on the y axis
1 The heights of 9 students of a class are as follows (in cm):
155, 160, 145, 150, 147, 152, 144 148
a. Find the average height of the students in this class.
solve the system by substitution....
Answer: 2,16
Step-by-step explanation: