Betsy has $468 in a personal bank account, and then withdraws $9 per week. Carlos has $18 in a personal bank account, and then deposits $66 earned from yard work each week. After how many weeks will they have the same amount of money in the bank?

Answers

Answer 1

Answer: 9 weeks

Step-by-step explanation:

First, we would have to set up an equation.

468 - 9w = 18 + 66w

The variable w stands for weeks.

We need to figure out when their bank account will become equal.

So, we need to solve for w.

First, let’s combine like terms. I will move 9w to the other side.

468 = 18 + 66w + 9w

Then simplify:

464 = 18 + 55w

Then, do the same as you did before, just move the 18 to the other side. Keep in mind that when a number switches sides, it’s switches signs (from negative to positive or positive to negative)

464 + 18 = 55w

482 = 55w

To isolate the variable, you would have to divided 55w by 55. Keep in mind, what you do to one side of an equation you must do to the other.

482/55 = 55w/55

8.76 = w

When you round to the nearest whole number, it will be 9 weeks.

Therefore, it will take 9 weeks for them to have the same amount of money in the bank.


Related Questions

Which Venn diagram is NOT correct?

Answers

There is no picture how do I help

Find the surface area.
24 yd
15 yd
15 yd
+13 yd
15 yd

Answers

The surface area of the figure in square yards is 1275 square yards

Surface area of a prism

The surface area of a figure is the tota sum of all the area of the faces.

For the given diagram, it consist of 2 triangles and 3 rectangles

Area of the figure = 3(24 * 15) + (13* 15)

Surfacea area = 3(360) + 195
Surface area = 1080 + 195

Surface area = 1275 square yards

Hence the surface area of the figure in square yards is 1275 square yards

Learn more on surface area of prism here: https://brainly.com/question/1297098

1. The buzz about coffee A recent study of over 400,000 older people in eight states asked participants whether or not they drank coffee and followed them for 13 years. The researchers found that coffee drinkers tend to live longer than non-coffee drinkers.
a. What is the statistical question that the researchers were trying to answer? b. Identify the population and the sample.
c. Is this an observational study or an experiment? Explain.

Answers

Answer:

a. The correlation between drinking coffee and longevity among older people

b. The population is the entire population of older people

The sample is the over 400,000 older people from eight states

c. It is an observational study

Step-by-step explanation:

a. A statistical question is a question that results in different answers from different respondents. Here the statistical question the researchers are trying to answer is if there is a correlation between drinking coffee and longevity among older people

b. The population is the entire population of older people and the sample is the over 400,000 older people from eight states  

c. An observational study is one in which the researchers sought or collect data based on what is obtainable and make conclusions based on the sought or obtained data. An experiment is one in which the effects of inputs from the researchers on a group is recorded

From the description of the question, therefore, the study is observational.

Final answer:

The researchers were trying to determine if coffee drinkers live longer than non-coffee drinkers. The population studied was older people in eight states, with a sample size of 400,000 participants. The study was an observational study that followed participants for 13 years.

Explanation:

a. The statistical question that the researchers were trying to answer is whether coffee drinkers live longer than non-coffee drinkers.

b. The population in this study is older people in eight states, while the sample is the 400,000 participants who were involved in the study.

c. This study is an observational study because the researchers observed the participants' coffee consumption and followed them for 13 years without intervening or manipulating any variables.

Learn more about Coffee and longevity here:

https://brainly.com/question/34700362

#SPJ3

The list of all factors for 32 is 1,2,4,8, and 32.
True or False

Answers

Answer:

False

Step-by-step explanation:

The list of all the factors of 32 is 1, 2, 4, 8, 16, and 32

False u missed one it is 16

Florist ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. which shows the correct equation and value of x, the distance of 1 lap around the path at the park?

Answers

Answer:

.9167 miles per lap

Step-by-step explanation:

3.6 miles total-1.2 miles walked= 4.4 miles in laps

4.4 miles=4.8 laps

we are solving for miles per lap, so we divide 4.4m/4.8l

Answer:

The correct answer is D.

Step-by-step explanation:

Please help me on this question ASAP :)

Answers

Answer:

x=12, y=4

x=3, y=1

x=18, y=6

Step-by-step explanation:

To solve for x in the given table, you can plug in the values x into the rule and solve for y.

y = 200 + 350x , y = 3x When x = 7, which equation has the greater value?

Answers

Answer:

y=200+350x

Step-by-step explanation:

3*7=21

200+350*7=2450

The expression (5 + 3) - (3 + 7) is a
sum.
product.
difference.

Answers

The answer would be Sum

Answer:

DIFFERENCE

Step-by-step explanation:

It is a difference because you are subtracting or finding the difference between 5+3 and 3+7.

YO PLEASEEE HELP ASAP !!!!
What is the factored form of this quadratic trinomial?
x2 − x − 42

A. (x + 6)(x − 7)
B. (x + 14)(x − 3)
C. (x − 6)(x + 7)
D. (x − 14)(x + 3)

Answers

Answer:

The answer is A. (x+6)(x−7)

Step-by-step explanation:

I used a calculator.

Answer:

other person is right...

Step-by-step explanation:

its right on plato/edmentum though.

find the area of the kite.

area = _[tex]m^{2}[/tex]

Answers

Answer:

24 m^2

Step-by-step explanation:

The area of a kite is the product of the diagonals divided by 2.

If the diagonals have lengths a and b, then area = ab/2

area = ab/2

a = horizontal diagonal = 2 m + 6 m = 8 m

b = vertical diagonal = 3 m + 3 m = 6 m

area = (8 m)(6 m)/2 = (48 m^2)/2 = 24 m^2

What is Mara has 7 cups of green paint and a container filled with 64 fluid ounces of yellow paint which color of paint does Mara have a lot of explain your reasoning

Answers

Answer: Mara has a lot of yellow paint

Step-by-step explanation:

Mara has less green paint because 7 cups is the same as 56 fluid ounces and 56 is less than 64 (yellow paint)

Final answer:

Mara has 56 fluid ounces of green paint and 64 fluid ounces of yellow paint. Therefore, Mara has more yellow paint. The calculations involve converting units of measure for an accurate comparison.

Explanation:

To answer your question accurately, it would be necessary to convert the measurements to the same unit. Given that 1 cup is approximately 8 fluid ounces, Mara's 7 cups of green paint convert to 56 fluid ounces (7 cups * 8 ounces/cup).

Comparing this to the 64 fluid ounces of yellow paint, we find that Mara has more yellow paint.

The comparison was made by first converting the quantity of green paint from cups to fluid ounces for a direct, accurate comparison between the two quantities of paint. This kind of problem is a great example of why understanding units of measure is important in mathematics and in everyday life.

Learn more about Unit Conversion here:

https://brainly.com/question/32030244

#SPJ2

A ladder is leaning against the side of a 10 meter house if the base of the ladder is 3 meter away from house how tall is the ladder?







Answers

Answer:

Depth A trough is 12 feet long and 3 feet across the top (see figure). ... 3 8 25. Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. ... Construction A construction worker pulls a five-meter plank up the side of a ...

Step-by-step explanation:

13 meters Becuase ten plus three is equal to 13

PLEASE HELP
Answer as a decimal with four decimal places
2.5x0.3 =
(0.3 is a repeating fraction)

Answers

Answer: 0.8333

Step-by-step explanation:

Which functions have real zeros at 1 and 4? Check all that apply.

Answers

Answer:

B, D

Step-by-step explanation:

These are the correct answers.

Answer:

B. f(x) = x2 – 5x + 4

D. f(x) = –2x2 + 10x – 8

Step-by-step explanation:

guy above me is right

Alexa is planning to drive across the United States in her car. She started making a table to represent the proportional relationship between gallons of gas and miles driven. The table shows how far she can travel for each gallon of gas that she uses.

What is the constant of proportionality?
miles per gallon

Answers

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Easy Question, Easy Points

Topic: Volume

Focus on question 12

Answers

Answer:

V = 0.6 m.

Step-by-step explanation:

Volume = l x w x h

in this case if you input the cube's values its volume = 1 m and 1 - 0.4 = 0.6m

Please mark as brainliest :)

Answer:

V=.6m

Step-by-step explanation:

Please mark as brainliest

The list of multiples for 6 is infinite.
True or False?

Answers

Answer:

True

Step-by-step explanation:

As there are infinite numbers, the list of multiples are also infinite.

Multiples of 6 : 6, 12 , 18 , 24 ..............

Answer:

True; yes.

Step-by-step explanation:

Think about it, what does etc, etc mean? It means repetitive-a pattern, in a sort of way. So here are some multiples of 6:

6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,144,150,156,162,168,174,180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,270,276,282,288,294,  etc.

As you can see, all I'm doing is adding 6 to every step I go. So when you say there is an infinite number, then these multiples are going to be infinite.

solve for A A/20 = 7

Answers

Answer:

A = 140

Step-by-step explanation:

Answer:

in my opinion the answer is A=140

Step-by-step explanation:

The speed of a boat in still water is 24 mph. It goes 15 miles downstream and comes back in 80 minutes. What is the speed of the stream? *

Answers

Final answer:

The problem involves calculating the speed of the current in a river using the given data: the speed of a boat in still water, the distance traveled downstream and upstream, and the total time taken. An application of the concept of relative speed helps solve the problem by setting up an equation reflecting the speeds during the downstream and upstream runs, then solving for the speed of the current.

Explanation:

The problem demonstrates an application of relative speed in the context of a boat moving in a stream. Let's denote the speed of the boat by 'b', the speed of the stream by 's', the time taken to move downstream by 't1', and the time taken to move upstream by 't2'. The speed of the boat in still water is given as 24 mph.

When moving downstream, the boat and the stream are going in the same direction, so their speeds add up: the actual speed will be b+s (24 mph + s). On the other hand, when moving upstream, the boat is going against the stream, so the actual speed is b-s (24 mph - s).

The total time taken to go 15 miles downstream and return is 80 minutes or 4/3 hours. Therefore, using the formula for time (time = distance/speed), we can set up the following equation: 15/(24+s) + 15/(24-s) = 4/3

Solving this equation will give us the value of 's', which represents the speed of the stream.

Learn more about Relative speed here:

https://brainly.com/question/14362959

#SPJ12

The speed of the stream is 6mph.

To find the speed of the stream, we can use the concept of relative speed.

When the boat is going downstream (with the current), the effective speed is increased by the speed of the stream. So, the effective speed downstream is v + s

When the boat is going upstream (against the current), the effective speed is decreased by the speed of the stream. So, the effective speed upstream is V- s

1. Time taken downstream

[tex]\[ t_d = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v + s} \][/tex]

2. Time taken upstream

[tex]\[ t_u = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v - s} \][/tex]

3. Total time for the round trip

  The total time taken for the round trip is the sum of the time taken downstream and upstream.

[tex]\[ \frac{15}{v + s} + \frac{15}{v - s} = \frac{80}{60} \] (converted minutes to hours)[/tex]

Now, let's substitute v = 24 into the equations and solve for \( s \), the speed of the stream.

Once we have s  we can find the speed of the stream.

[tex]\[ \frac{15}{24 + s} + \frac{15}{24 - s} = \frac{4}{3} \][/tex]

Multiplying both sides of the equation by ( (24 + s)(24 - s) to clear the denominators:

[tex]\[ 15(24 - s) + 15(24 + s) = \frac{4}{3}(24 + s)(24 - s) \][/tex]

Taking the square root of both sides:

s= 6

Therefore, the speed of the stream is 6 mph.

Rectangle QUAD has coordinates​ Q(4,5), U(4,10),​ A(11,10), and​ D(11,5). Upper Q prime Upper U prime Upper A prime Upper D primeQ′U′A′D′ is the image of QUAD after a dilation with center​ (0,0) and scale factor 5. What is the length of segment Upper Q prime Upper U primeQ′U′​?

Answers

Answer:

25

Step-by-step explanation:

Answer: 25

find the length of segment QU.  

First, we must find out what the coordinates are.

Q=(4,5) U=(4,10)

Then, Setup your equation by making the first coordinate pair equal. So,

Q= (4,5) would now equal Q=(5,5). That means we added 1. (when you add x ((x=the number you add to make equal)) you add x to the other side as well)

So, now we would add 1 (or how many you got) to U. Thus,

U=(4,10) would now equal Q=(5,10).

Next, set up the equation.

[tex]\sqrt{(Q)^{2} +(U)^{2}[/tex] (Q=(5,5) and U=(5,10).)

* You will now be subtracting the coordinates so, Q=(5-5) and U=(5-10)*

Next, Substitute the equation.

[tex]\sqrt{(5-5^{2} +(5-10)^{2}[/tex]

After, we solve.

[tex]\sqrt{0^{2} +(5-10)^{2}[/tex]

*the sum of two opposites equals 0. 5-5=0*

Next, Subtract (5-10).

[tex]\sqrt{0^{2} +(-5)^{2}[/tex]

Next, 0 raised to any positive power equals 0

[tex]\sqrt{0+(-5)^{2}[/tex]

Next, When adding or subtracting 0, the quantity does not change.

[tex]\sqrt{(-5)^{2}[/tex]

Next, Reduce the index of the radical and exponent 2.

[tex]|-5| = 5[/tex]

So, The length of segment is 5.

Now, find the length of segment Upper Q'U'​, multiply the length of segment QU by the scale factor.

scale factor in this equation is 5.

Now, multiply.

5·5 = 25

So, the length of segment Q'U' is 25.

The length of segment Q'U' after the dilation with a scale factor of 5 is 25 units.

To find the length of segment Q'U'  after the dilation with a scale factor of 5, we can calculate it step by step:

1. Calculate the new coordinates of Q'  and U'  after the dilation with a scale factor of 5 and center (0,0):

Q' coordinates: (4 5, 5 5) = (20, 25)

U' coordinates: (4 5, 10 5) = (20, 50)

2. Determine the distance between Q'  and U' using the distance formula:
- Horizontal distance: 20 - 20 = 0
- Vertical distance: 50 - 25 = 25

3. Calculate the length of segment

 using the Pythagorean theorem:
- Length = sqrt(0^2 + 25^2)
- Length = sqrt(0 + 625)
- Length = sqrt(625)
- Length = 25 units

Therefore, the length of segment Q'U' after the dilation with a scale factor of 5 is 25 units.

What are the measures of those two angles? I’ll mark brainliest!

Answers

Answer:

Two angles of a quadrilateral : 220 and 90 deg.

The other two angles (x and y) are in ratio 2:3.

We have:

x + y = 360 - 220 - 90 = 50 (property of sum of 4 angles in quadrilateral)

x/y = 2/3 => x = 2y/3

=>2y/3 + y = 50

=> 5y/3 =50

=> 5y = 150

=> y = 30

=> x = 2 x 30/3 = 20

=> Two other angles are 20 and 30 deg

Hope this helps!

:)

No solution 4x+2=4x+

Answers

Answer:

Any positive number will make this true.

Some answers it can be:

4x=2=4x+5

4x+2=4x+3

c=4h+9f +4p solve for F

Answers

Answer:

the answer to your question will be f = c/9 - 4h/9 - 4p/9

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

The expression x2 – 12x + 36 factors to (x - )^2

Answers

Answer:

(x-6)^2

Step-by-step explanation:

x^2-12x+36

=(x-6)(x-6)

=(x-6)^2

Can someone please help me on this?

Answers

Answer:

D just did it your welcome

Step-by-step explanation:

The answer would be D . I had the same question on my test before

the solid below is made from 1 yard cubes. find it's surface area​

Answers

Answer:

surface area = 28 yard²

Step-by-step explanation:

given data

1 unit length of cube = 1 yd

solution

As given image shown that rectangular solid has length 5 units, width 2 units, and height 2 units.

so we get here surface area that is we get by area of each of its faces

we can see three face are

A front = L × W  = 2 × 2 = 4

A side = L × W  = 5 × 2 = 10

A top = L × W = 5 × 2 = 10

so here

surface area = ( front + back ) + ( left side + right side ) + ( top + bottom )   ................1

surface area = ( 2 × front ) + ( 2 × left side ) + ( 2 × top )

surface area = ( 2 × 4 ) + ( 2 × 10 ) + ( 2 × 10 )

surface area = 8 + 20 + 20

surface area = 28 yard²

Which is the graph of f(x) = -(x + 3)(x + 1)?

Answers

Answer:

Step-by-step explanation:

Setting f(x) = -(x + 3)(x + 1) = 0 leads to identifying two roots/solutions of this equation:  x = -3 and x = -1.  The axis of symmetry is a vertical line halfway between these two roots:  x = -2.  This x = -2 is also the x-coordinate of the vertex.  Evaluating f(x) = -(x + 3)(x + 1) at x = -2 gives us the y-coordinate of the vertex:  y = -(-2 + 3)(-2 + 1) = -(1)(-1) = 1.

In summary, the vertex is at (-2, 1) and the two x-intercepts are (-3, 0) and (-1, 0).  The y-intercept is found by  setting x = 0 and finding y:  

f(0) = -(0 + 3)(0 + 1) = -3, or (0, -3)

Next time, please share the answer choices.  Thank you.

Answer:

B

Step-by-step explanation:

Edge 2021

A normal distribution has a mean of 186.4 and a standard deviation of 48.9.



What range of values represents the upper 2.5% of the data?

a

X > 235.3

b

X > 333.1

c

X > 284.2

d

X > 186.4

Answers

We have been given that a normal distribution has a mean of 186.4 and a standard deviation of 48.9. We are asked to find the range of value that represents the upper 2.5% of the data.

We know that upper 2.5% of data would be 97.5% of data.

We will use z-score formula to solve our given problem.  

[tex]z=\frac{x-\mu}{\sigma}[/tex], where,

z = z-score,

x = Random sample score,

[tex]\mu[/tex] = Mean,

[tex]\sigma[/tex] = Standard deviation.

Now we will use normal distribution table to find z-score corresponding to 97.5% area or 0.975.

We can see from the normal distribution table that z-score corresponding to  area 0.975 is [tex]1.96[/tex].

[tex]1.96=\frac{x-186.4}{48.9}[/tex]

Let us solve for x.

[tex]1.96\cdot 48.9=\frac{x-186.4}{48.9}\cdot 48.9[/tex]

[tex]95.844=x-186.4[/tex]

[tex]95.844+186.4=x-186.4+186.4[/tex]

[tex]282.244=x[/tex]

Therefore, the range [tex]x>282.244[/tex] represents the upper 2.5% of the data.

Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . How can he order them ?

Answers

Answer:

Allan can order them from least to greatest.

Step-by-step explanation:

Answer:

First, Allan should write the fractions as decimals by dividing the numerator by the denominator. Then he can plot the points on the number line. Reading the plotted points from left to right gives the points in order, from least to greatest.

Step-by-step explanation:

What is the probability that the product of two dice is greater than
15 on two separate rolls?

Answers

Answer:

25/324

Step-by-step explanation:

Make a table of possible products:

[tex]\left[\begin{array}{ccccccc}&1&2&3&4&5&6\\1&1&2&3&4&5&6\\2&2&4&6&8&10&12\\3&3&6&9&12&15&18\\4&4&8&12&16&20&24\\5&5&10&15&20&25&30\\6&6&12&18&24&30&36\end{array}\right][/tex]

Of the 36 results, 10 are greater than 15.

The probability the product is greater than 15 on a single roll is 10/36 = 5/18.

The probability the product is greater than 15 on two rolls is (5/18)² = 25/324.

Other Questions
Shortly after the bombing of Pearl Harbor by the Japanese during World War II, British Prime Minister Winston Churchill came to the United States to meet with President Franklin Roosevelt. Read the following excerpt from a speech he delivered on Christmas Eve. What is Churchills purpose in this part of his speech?I spend this anniversary and festival far from my country, far from my family, yet I cannot truthfully say that I feel far from home. Whether it be the ties of blood on my mother's side, or the friendships I have developed here over many years of active life, or the commanding sentiment of comradeship in the common cause of great peoples who speak the same language, who kneel at the same altars and, to a very large extent, pursue the same ideals, I cannot feel myself a stranger here in the centre and at the summit of the United States. I feel a sense of unity and fraternal association which, added to the kindliness of your welcome, convinces me that I have a right to sit at your fireside and share your Christmas joys.A. to wish everyone a Merry ChristmasB. to strengthen his new friendshipsC. to show Britains support of the United StatesD. to pursue a new home A ____________ is an interval of a fourth or more. * Please help me with this :( Accounts Payable: $19,207 Accounts Receivable: 81,336 Cash: 98,324 Discount on Bonds Payable: 7,000 Sales Tax Payable: 3,512 Inventory: 95,816 Treasury Stock: 30,000 Stock Investments: 3,700 FICA Tax Payable: 3,200 Bonds Payable: 100,000 Accumulated Depreciation: 2,000 Note: Payable, due in two years 1,709 Equipment 54,128 Common Stock 100,000 Retained Earnings 102,808 Unearned Service Revenue 30,500 Supplies 10,512 Salaries and Wages Payable 17,880 Use the information above to answer the following question. What is the amount of Total Liabilities to be reported on the December 31, 2019? What number completes the sequence below? Enter your answer in the inputbox at the bottom35 - 750 - 1065 1380 ? You are throwing a disco-themed party and decorate with some small white flowers that have a delicate fragrance. During the party you notice the flowers have a striking pattern when the black light (a source of UV light) is on. Based on these observations, the flowers are most likely finish the statementTengo dolor de _____a.cirugab.doctorc.estmagod.fiebre Why do you think the Founders specified that cases in which a state shall be a party go right to the Supreme Court? Express the confidence interval 24.4% Name a piece of program music that uses a leitmotif in each of its FIVE movements. *A) "Symphonie Fantastique" by Hector BerliozB) "Der Ring des Nibelungen" by Richard WagnerC) "Eine Kleine Nachtmusik" by W.A. MozartD) "Vertigo" by Bernard Hermann What is Ohanian's "great big secret"?OA. That the Japanese continue to practice whaling every dayOB. That Greenpeace gave him money for saving whalesOC. That you should present a serious cause in a fun wayOD. That Reddit is not a website he created after all "Trey Jackson, CFO of Jackson Exploration, Inc. is deciding how to approach a particular oil well project. If the company drills today, the project would cost $925,000 today, and would provide estimated cash flows of $600,000 per year at the end of each of the next 4 years. However, if the company waits a year before drilling, the company would have more geological information regarding the wells possibilities. The company estimates that if it waits 2 years, the project would cost $975,000 and would have a 65 percent chance of having net cash flows of $1,000,000 per year for 4 years, and a 35 percent chance of having net cash flows of only $300,000 per year for 4 years. Assume a discount rate of 17.5 percent. What should the company do 8. Which of the following is NOT provided to plants by soil?A. StabilityB. NutrientsC. Run-offD. Oxygen Why do moss grow so low to the ground?A. They only get nutrients from the soil.B. They like it like that.C. They lack vascular tissue and require water for reproduction.D. They can't photosynthesis enough energy to grow tall. Emery bought 3 cans of beans that had a total weight of 2.4 pounds. If each can of beans weighed the same amount, which model correctly illustrates the relationship? Check all that apply A mens softball league is experimenting with a yellow baseball that is easier to see during night games. One way to judge the effectiveness is to count the number of errors. In a preliminary experiment, the yellow baseball was used in 10 games and the tradi- tional white baseball was used in another 10 games. The number of errors in each game was recorded and is listed here. Can we infer that there are fewer errors on average when the yellow ball is used? Banderas corporation is considering the purchase of a machine that would cost $330,000 and would last for 9 years, the machine would have a salvage value of $79,000.By reducing labor and other operatin costs, the machine would provide annual cost savings of $59,000. The company requires a minimum pretax return of 12% on allinvestment project. The net value of the proposed project is closest to:___________. On September 1, Taci Company lent $ 88,000 to L. Kahil on a 90-day, 4% note. a. Journalize for Taci Company the lending of the money on September 1. b. Journalize the collection of the principal and interest at maturity. Specify the date. Round interest to the nearest dollar. a car drives 195 miles in 3 hours and 15 mins.what is the average speed of the car? What is the correct term for living the most sustainable life you can within your current circumstances? When your are being as sustainable as you can within your current lifestyle, you are said to be pursuing sustainability. Steam Workshop Downloader