Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.
can anyone please tell me how to do this
Hello there, this problem is just basic addition, here is what it would look like
[tex]52.31+25.90[/tex]
Solve it and we get 78.21
Amount earned on Saturday = $ 52.31
Amount earned on Sunday = $ 25.90
Total amount earned
= $ 52.31 + $ 25.90
= $ 78.21
Therefore, Tara earned $ 78.21 in total. Hope this helps.
Have a nice day.
Given f(x)=x2-1/x+4 find f(-3)
A train travels 150 miles in three hours at the same rate how many miles will it travel in eight hours
Answer:400
Step-by-step explanation:
150 / 3 = 50 so 50 x 8= 400
please help w math…
Answer:
x= -3 and 0
Step-by-step explanation:
Where the function crosses the x axis, or y=0
What is 26% as a fraction in simplest form?
A. 26/100
B. 26/10
C. 6/25
D. 13/50
Answer:
it'd be d: 13/50 !!
Answer:
D. 13/50
Step-by-step explanation:
0.26 ⇔ 26/100 ⇔ 13/50
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8593 g and a standard deviation of 0.0511 g. A sample of these candies came from a package containing 464 candies, and the package label stated that the net weight is 396.1 g. (If every package has 464 candies, the mean weight of the candies must exceed 396.1 464=0.8537 g for the net contents to weigh at least 396.1 g.)
Answer:
The package label stated that the net weight is 381.8g If every package has ... brand of candies have a mean weight of 0.8616g and a standard deviation of ...
What is the probability of rolling a number greater than 1?
Type a fraction
Step-by-step explanation:
A die has six faces numbered from one to six. Five of the faces have numbers greater than one so the probability of rolling a number greater than one is 5 out of six or as a fraction,
[tex]\dfrac{5}{6}[/tex]
simplify the expression (9n+ 4)-(-1/2n-7)
Answer:
9 1/2n + 11
Step-by-step explanation:
9n + 1/2n + 4 + 7
9 1/2n + 11 or 19/2n + 11
write the equation of the line with the given slope and y-intercept
1. slope is -3 and y intercept of 7
2. slope is 1/4 and y- intercept is -5
Answer:
See below
Step-by-step explanation:
Remember that y=mx+b:
1) y = -3x+7
2) y = 1/4x-5
15 POINTS AND BRANLIEST
Find the area of the figures below
[tex]Area = \frac{(6 + 10) \times 7}{2} \\ [/tex]
[tex]Area = \frac{16 \times 7}{2} \\ [/tex]
[tex]Area = \frac{2 \times 8 \times 7}{2} \\ [/tex]
[tex]Area = 8 \times 7[/tex]
[tex]Area = 56 \: \: {in}^{2} [/tex]
Answer:
Area: [tex]56in^2[/tex]
Step-by-step explanation:
The formula for the area of a trapezoid is:
[tex]A = \frac{a+b}{2}h[/tex]
so replacing with the given values we get:
[tex]a = 6in\\h = 7in\\b = 10in[/tex]
[tex]A = \frac{6in+10in}{2}7in = 56in^2[/tex]
So our final answer is [tex]56in^2[/tex]
Which represents the RANGE of the following relation? {(-6, 5), (-4, 3), (-1, 0), (4, 3)}
Answer:
5, 3, 0, 3 are all the ranges! Hope this helps
Step-by-step explanation:
Ranges are on the right, domains are on the left
d ÷ 20 = 0.81
d = ?
what is d?
Answer: 16.2
Step-by-step explanation:
i used the calculator
You start at (5, 0). You move left 1 unit and up 1 unit. Where do you end?
Answer:
(4; 1)Step-by-step explanation:
Look at the picture.
(x, y)
left 1 unit: (5 - 1 = 4)
up 1 unit: (0 + 1 = 1)
Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?
Answer:
$5.50 x 5 = $27.5
$27.5 x 4 = 110$
$2.00 x 2 = $4.00
$4.00
$3.00
$1.75 x 4 = 7$
27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5
Step-by-step explanation:
can you me as brainliest if its right?\
my first answer was wrong
So; 1. Find the sum of 64.2 + 3.4 =_____ Find the difference 514 - 1.72=_____
FOR MY BROTHER TWIN'S
" Please answer this today☺️ "
What’s is log17 divided by 4
Answer:
log(17 1/4)
Step-by-step explanation:
Connor gets one hour of lunch and recess every day at school. He eats lunch first, and then gets to go outside for recess. He begins lunch at 11:15am. Based on this information, select All of the statements that are correct. a. If it takes Connor 25 minutes to eat lunch, he can go outside for recess at 11:40am. b. If it takes Connor 35 minutes to eat lunch, he will have 20 minutes left for recess. c. If it takes Connor 20 minutes for lunch, he can go outside for recess before 11:45am. d. If it takes Connor 25 minutes for lunch, he will still have at least 40 minutes left for recess. Vle. If it takes Connor 45 minutes for lunch, he can go out to recess at 12:00pm.
Answer: B ( sorry if im wrong )
Step-by-step explanation:
if Conner begins lunch at 11:15am then we need to find out what it'll be in +60 minutes, which is . . . 12:15pm
so it's not A, C, E - which now leaves us B and D
( I used a time calculator btw )
the answer is D because B is 25 minutes for recess
Multiply. −2(−5)(−3)
Answer: -30
Step-by-step explanation:
-2 X -5 = 10
10 X -3 = -30
Therefore, -2(-5)(-3) = -30
The multiplication of −2(−5)(−3) is -30
The multiplication of numbers in brackets with negative signs takes a method whereby the signs are taken into account when performing the arithmetic operation.
From the given question, we are to multiply:
= - 2 × (-5) × (-3)
= +10 × (-3)
= -30
Learn more about the multiplication of numbers here:
https://brainly.com/question/1755985
Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no deposits or withdrawals, he will earn $40 in simple interest in 4 years. What is the annual rate of simple interest?
Answer
$540
Step-by-step explanation:
hopes this helps
HELP 40 POINTS!!!!!!
Answer:
x = -2
Step-by-step explanation:
the y value in slope intercept form, which is the slope, is undefined. there is no y intercept, so the only known value (the x in y=mx+b) is -2, meaning the equation is x=-2
Slope:-
[tex]\\ \sf\longmapsto m=\dfrac{-3-2}{-2+2}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-5}{0}[/tex]
[tex]\\ \sf\longmapsto m=\infty[/tex]
Equation of line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-2/\infty=x+2[/tex]
[tex]\\ \sf\longmapsto x+2=0[/tex]
[tex]\\ \sf\longmapsto x=-2[/tex]
Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6
Answer:
3 months
a quarter is a period of three months
Step-by-step explanation:
Area of rectangle 2x8/9
Answer:
32/9
Step-by-step explanation:
2*(2)(8/9) = 4*8/9 = 32/9
Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.
Here is one way to show that the left side is identical to the right side.
[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]
Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.
Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".
calculate the area please help
Answer:
99 cm²Step-by-step explanation:
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2
(11 * 18) : 2 =
198 : 2 =
99 cm²
In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. To the nearest 100 people, what was the population in 2020? help im about to die
Answer:
242, 900 people
Step-by-step explanation:
To begin, it says that the population grew by 5%.
(241000)(1.00 + 0.05) = population of the city in 2015
(241000)(1.05) = 253050
253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.
(253050)(1.00 - 0.04) = population of the city in 2020
(253050)(0.96) = 242928
242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.
Therefore, the answer would be 242, 900 people.
Simplify the product.
(16+13)(12-2)
Answer:
290
Step-by-step explanation:
(16+13)(12-2)= 29 * 10 = 290
Answer:
290
Step-by-step explanation:
(16+13)(12-2)
29*10
290
If DEF and MNO are two triangles such that DE=MN and EF=NO, which of the following would be sufficient to prove that triangles are congruent
Answer:
D. ∠E ≅ ∠N
Step-by-step explanation:
The pair of sides meet at vertex E in ∆DEF and at vertex N in ∆MNO. Since the sides that make up angles E and N are shown congruent, it is sufficient to show ...
∠E ≅ ∠N
Then the SAS congruence postulate can be claimed.
__
Additional comment
The alternative is to show DF ≅ MO. That would allow you to claim SSS congruence. That is not an answer choice.
work out the surface area of this solid prism
Answer:
5220
Step-by-step explanation:
1- 20x36/2 is 360
(360 x 2 is 720)
2. 25x50 is 1250
3. 29x50 is 1450
4. 36x50 is 1800
720+1250+1450+1800 is 5220
11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have
Answer:
44 ten-dollar bills
Step-by-step explanation:
Assume that all 124 bills are ten-dollar bills,
124 x $10 = $1240
Total Value of Money : $840
$1240 - $840 = $400
There are $400 worth of five-dollar bills,
$400 / 5 = 80 (The number of five-dollar bills)
Therfore the number of ten-dollar bills,
124 - 80 = 44
Let's check:
44 x $10 = $440
80 x $5 = $400
Total = $440 + $400
= $840
There are 40 students in your class of which 23 are boys. What fraction of the students are girls?
Answer:17/23
Step-by-step explanation:
Answer: 17/40 of the students are girls.
Step-by-step explanation:
First, to find the number of girls in the class, we can subtract the number of boys (23) from the total number of students (40) to get:
40 - 23 = 17
There are 17 girls in the class.
Finally, to get the fraction of the girl students of the class, we can divide the number of girls (17) by the total number of students (40) to get:
17 ÷ 40 = [tex]\frac{17}{40}[/tex]
Since the fraction [tex]\frac{17}{40}[/tex] is already simplified, the final answer comes out to be [tex]\frac{17}{40}[/tex].
