Answer: She now has $64 in the bank.
Step-by-step explanation:
Amount of money in bank account = $54
amount refunded by a store = $10
Total amount of money in bank =Amount of money in bank account + amount refunded by a store= $54+ $10 =$64
Tom ate at a restaurant. His bill was $12.00. He left a 15% tip. How much was the amount of the tip?
Answer:
15% of 12 is 1.8
Step-by-step explanation:
15 x 10/100 = 1.8
I struggle on this one to
Answer:
13. acute
14. right
15. 36
16. x = 14
Step-by-step explanation:
Write the equation of the line that is parallel to the line given and through the given point. Do not use spaces in your equation. y = -2x + 1 (0, 5)
3.
What is the area of triangle ABC?
2in.
2in.
B
The area of triangle ABC is
i need help pls im in middle of class and have 5 min pls 20pts
Answer:
c
Step-by-step explanation:
Answer:
its the second one
Step-by-step explanation:
figure out the riddle
Answer:
Four
Step-by-step explanation:
All the animals are on the bed, but the bed itself has four legs.
Answer: 6
Step-by-step explanation: the legs from the bed, and your 2 legs
how do you do 20x-10y=50 10x-15y=-5 in system of equations
Answer:The point form would be (4,3) and the equation form would be x=4,y=3
Step-by-step explanation:
can I get marked brainliest
Ray did yard work for 112 hours after school every day for 5 days. How many total hours did Ray do yard work?
5th grade
HELP
Linda received 3/5 of the votes in the election for student council president. What percent of the votes did Linda receive
Answer:
60.
Step-by-step explanation:
Answer:
[tex]60%[/tex][tex]%[/tex]%
Can u gimme brain plz!What is the slope of (-2,4) and (10,-20)?
Thanks to whoever answers.
Answer:
m=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
b = 23a + 1
b = -13a + 7
solve the rational equation x^2+1/x-1+x=2+2/x-1
Answer:
x=1/2
Step-by-step explanation:
Pippin owns 2 cats, 3 dogs, and a lizard as pets. What is the ratio of the number of cats to the total number of pets Pippin owns?
Choose 1 answer:
is it
A 1/6
B 1/3
C 2/5
D 1/2
or E 2/3
Answer: B) 1/3
2 cats/6 total animals
simplified is 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
plz make me brainliest
Please help me to solve the 5th part!
Step-by-step explanation:
hope this will help you.
What is the vertex of the absolute value function below?
Answer:
add file/link/pdf
A person has utility function u(x, y) = 100xy + x + 2y. Suppose that the price per unit of x is $2, and that the price per unit of y is $4. The person receives $1 000 that all has to be spent on the two commodities x and y. Solve the utility maximization problem
Answer:
x = 250
y = 125
u(x,y) = 3125500
Step-by-step explanation:
As given,
The utility function u(x, y) = 100xy + x + 2y
[tex]P_{x}[/tex] = 2 , [tex]P_{y}[/tex] = 4
Now,
Budget constraint -
[tex]P_{x}[/tex] x + [tex]P_{y}[/tex] y = 1000
⇒2x + 4y = 1000
So,
Let v(x, y) = 2x + 4y - 1000
Now,
By Lagrange Multiplier
Δu = Δv
⇒< 100y + 1, 100x + 2 > = < 2, 4 >
By comparing, e get
100y + 1 = 2 ........(1)
100x + 2 = 4 .........(2)
Divide equation (2) to equation (1) , we get
[tex]\frac{100y + 1}{100x + 2} = \frac{1}{2}[/tex]
⇒2(100y+1) = 1(100x+2)
⇒200y + 2 = 100x + 2
⇒200y = 100x
⇒2y = x
Now,
As 2x + 4y = 1000
⇒2x + 2(2y) = 1000
⇒2x + 2x = 1000
⇒4x = 1000
⇒x = 250
Now,
As 2y = x
⇒2y = 250
⇒y = [tex]\frac{250}{2}[/tex] = 125
∴ we get
x = 250
y = 125
Now,
u(250, 125) = 100(250)(125) + 250 + 2(125)
= 3125000 + 250 + 250
= 3125000 + 500
= 3125500
⇒u(250, 125) = 3125500
The maximized value of the utility function is $3125500
The utility function is given as:
[tex]U(x,y) = 100xy + x + 2y[/tex]
The prices per unit are also given as:
[tex]P_x = 2[/tex]
[tex]P_y = 4[/tex]
When a person receives $1000, then the budget function is:
[tex]2x + 4y = 1000[/tex]
Divide through by 2
[tex]x + 2y = 500[/tex]
Differentiate the utility function with respect to x and y
[tex]U'(x) = 100y + 1[/tex]
[tex]U'(y) = 100x + 2[/tex]
So, we have:
[tex]U'(x) = P_x[/tex] and [tex]U'(y) = P_y[/tex]
The above equations become
[tex]100y + 1 = 2[/tex] and [tex]100x + 2 = 4[/tex]
Divide both equations
[tex]\frac{100y + 1}{100x + 2} = \frac 24[/tex]
Reduce the fractions
[tex]\frac{100y + 1}{100x + 2} = \frac 12[/tex]
Cross multiply
[tex]100x + 2 = 200y + 2[/tex]
Subtract 2 from both sides
[tex]100x = 200y[/tex]
Divide both sides by 100
[tex]x = 2y[/tex]
Recall that:
[tex]x + 2y = 500[/tex]
So, we have:
[tex]2y + 2y = 500[/tex]
[tex]4y=500[/tex]
Divide through by 4
[tex]y=125[/tex]
Recall that:
[tex]x = 2y[/tex]
So, we have:
[tex]x = 2 \times 125[/tex]
[tex]x = 250[/tex]
Also, we have:
[tex]U(x,y) = 100xy + x + 2y[/tex]
Substitute the values of x and y, in the above function
[tex]U(250,125) = 100 \times 250 \times 125 + 250 + 2 \times 125[/tex]
[tex]U(250,125) = 3125500[/tex]
Hence, the maximized value of the utility function is 3125500
Read more about utility functions at:
https://brainly.com/question/24922430
Select all the equations where x = 3 is a solution.
Choose 2 answers:
А )x +4= 7
B) = 3 9 5 - 2 = 2
D) 8x = 32
E )X – 10 = 7
Answer:
Step-by-step explanation:
X +4=
8x=32
Which of the following is a factor
of the expression 5x^2- 13x-6?
Answer:
(5x+2) (x-3)
Step-by-step explanation:
Which of the following numbers is irrational? Helpppp please!!!!... due in 2 minutes!!!!.
4x – 2y = -8
y = 2x + 4
Answer:
Set any x and then compute y as 2x + 4. The pair solves the equations.
Step-by-step explanation:
4x - 2y = -8
4x = 2y - 8
2x = y - 4
y = 2x + 4
2x + 4 = y
2x = y - 4
Both equations are the same, so any pair of x and y for which 2x = y - 4 works.
Set any y and then compute x as (y - 4)/2
Alternatively
2x = y - 4
2x + 4 = y
Set any x and then compute y as 2x + 4.
One week Tony bought 6 soft shell tacos and 2 hard shell tacos for $12. The next week he bought 3 soft shell tacos and 1 hard shell tacos for $6. Write a system to find the cost for each type of taco. Explain your answer.
Problem of the Day 7.7
Joshua swims 18 laps every day at swim practice. If he swims every day for 32 days, how many laps has he completed?
Answer:
576
Step-by-step explanation:
18 x 32 = 576
Find the surface area of the rectangular prism.
3 in.
2 in.
4 in.
1.)60 in 2
2.)84 in 2
3.)26 in
4.)52 in2
Answer:
52 Inches³
Step-by-step explanation:
The surface area formula for a rectangular prism is 2 x (height x width + width x length + height x length)
SA= 2(4x2+2x3+4x3)
Which equation matches the graph shown?
Answer:
A
Step-by-step explanation:
Since it is upside down, it is the one with the negative sign in front of the x. The numbers will continue to increase in the negatives.
Answer:
ur ans is A
Step-by-step explanation:
GOODLUCK
Philip's bill for lunch at a restaurant was $7. He left a 15% tip. What was the amount of the
tip?
Answer:$1.05
Step-by-step explanation:
Step-by-step explanation:
:
=$7×15/100
=$1.05
Json has 4 gallons of hand sanitizer that contains 25% alcohol. He want sto make a hand santizer that contains 50% alchahol. How many gallons of pure alcohol should he add?
Answer:
2
Step-by-step explanation:
1+x/4+x = 1/2
4+x = 2 + 2x
x = 2
Given the expression (−2x2)(3x)(x), Jose says that different products occur if the order of the quantities being multiplied changes. Is Jose correct? Explain.
Answer:
Jose is incorrect.
Step-by-step explanation:
Using the communitive property, you can rearrange (-2x2), (3x), and (x) in the problem and get the same product. You can rearrange it to (3x)(x)(-2x2). You can rearrange it to (3x)(-2x2)(x). Now matter where you rearrange them, the equation will always have the same product.
What is the answer to this?
Answer:
its the second answer i hope that helps
Answer:
Step-by-step explanation:
i have no idea
Which group of numbers is in order from smallest to largest?
0.34, 45%, 13/25
9/10, 0.8, 75%
27%,3/4 , 0.09
0.24, 37%, 3/10
Answer:
0.3, 45%, 13/25
Step-by-step explanation:
Is the smallest to largest
Answer:
0.34, 45%, 13/25
Step-by-step explanation:
The student council is selling cupcakes at the school play.
The cost to make the cupcakes is a fixed \$ 75$75 plus \$ 0.17$0.17 per cupcake made.
Each cupcake sells for \$ 2.00$2.00.
Answer: 37.5
Step-by-step explanation:
75 divided by 2