if you put $500 into a savings account that pays an interest rate if 4%, how much will you have after 2 years

Answer: 283

Step-by-step explanation:

To find the median, you have to first arrange the figures in the distribution in ascending order:

210, 249, 316, 443

As this is an even distribution, the Median will be found by adding up the second and third numbers and then dividing by 2:

= (249 + 316) / 2

= 283

Answer: 3/5 i hope this helps god bless

Step-by-step explanation:

Answer: The new square is the same since it hasn't changed it's size.

Step-by-step explanation: cause it is

Answer:

is B and E

Step-by-step explanation:

I did it on edge

The ratio of the number of sundaes with nuts to the number of sundaes without nuts is 11/14

What is ratio?

Ratio is a quantitative relationship between two values  indicating the number of times one value contains within the other value

In other words, we are expressing the number of sundaes with nuts as a fraction of the ones without nuts

There are 22 sundaes with nuts

number of sundaes without nuts=50-22

number of sundaes without nuts=28

sundaes with nuts/sundaes without nuts=22/28

2 is common to both numbers

sundaes with nuts/sundaes without nuts=11/14

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Answer:

Problem 1: y = 4x + 6

Problem 2: 48 soda bottles per minute

Step-by-step explanation:

Problem 1:

Equation of a line in slope-intercept form is given as y = mx + b.

Wee have to figure out the value of the slope (m) and the value of y-intercept (b). Them to write an equation that represents the line of the graph, we need to input the values of m and b into the equation, y = mx + b.

Thus,

m = hourly fee = $4

b = initial deposit = $6

Substitute m = 4 and b = 6 into y = mx + b

Equation would be:

y = 4x + 6

Problem 2:

What we are simply asked to do is to find the slope of the line, which is the number of soda bottles the machine will produce per minute

Using the two points (3, 144) and (8, 384),

Slope = ∆y/∆x = (384 - 144)/(8 - 3)

Slope = 240/5 = 48

Thus, the machine will make 48 bottles per minute

Step-by-step explanation:

The side opposite angle x is the same as side opposite angle z

   so angle z and z  are equal in this triangle     x = 25°

    then y is 180 - 25 -25 = 130 °

The number of unique ways to complete a quiz with 5 questions and 4 possible answers to each question is \(4^5\), or 1024.

This can be calculated using exponential notation, which states that a number raised to the power of another number is equal to the number multiplied by itself that many times. In this case, 4 to the power of 5 is equal to 4 x 4 x 4 x 4 x 4, or 1024.

In other words, the number of unique ways to answer a quiz with 5 questions and 4 possible answers to each question is equal to 4 multiplied by itself 5 times. This can also be written using the exponential notation as \(4^5\). There are 1024 unique ways to complete a quiz with 5 questions and 4 possible answers to each question.

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As per the information provided, a = 4√3/3 + 4, b = 4 - 4√3/3 the answer can be calculated with optimization method. it will be as follows:

Sum of a and b is 8, we get

a+b=8

b=8−a

Now, let x=a−b

Then we get,

\(x=a−(8−a) \\ x=2a−8 \\ x+8=2 \\ 1 \div 2x+4=a

\)

we use this to answer to solve for b

\(b=8−a \\ =8−(1 \div 2x+4) \\ =4−1 \div 2x

\)

Now we use the product of two numbers and its difference. This can be expressed as:

\(a⋅b⋅x=(1 \div 2x+4)(4−1 \div 2x) \\ x=2 {x}^{2} − \frac{1}{4} {x}^{3} +16x−2x^{2} \\ =−14x^{3} +16x

\)

Thus, this expression that we need to maximize. Take the derivative, set it equal to zero, and solve for x

\(−3 \div 4x ^{2} +16=0 \\ 16 =3 \div 4 x ^{2} \\ 643=x \\ 28√3 \div 3=x\)

Now for us to check that this is a maximum, we have to note that the second derivative is

\(−3 \div 2x

\\ At \\

x=8√3 \div 3

\)

the second derivative is −4√3. Since this number is negative, the point is a maximum.

Now we must find the values of a and b for this x. We have to use the relationship

\(a=1 \div 2x+4\)

\(a=1 \div 2 \times 8√3 \div 3+4 \\ =4√3 \div 3+4\)

now we use the relationship b=8−a

\(b=8−(4√3 \div 3+4) \\ =4−4√3 \div 3\)

The first step in determining a function's maximum or minimum value is differentiating it. Then, set this derivative to zero and conduct the computation.

x. This will reveal the location of a function's maximum or minimum, but it won't reveal which.

Take the second derivative to get more details. A local maximum occurs when both the first and second derivatives are negative. You have a local minimum when both the first derivative and the second derivative are zero.

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Answer:

1,536 lb or 696.718 kg

verification:

4 p = 128 lb

48 p = ?

48 ÷ 4 = 12

128 × 4 = 1,536 lb

48 p = 1,536 lb

explanation:

If 4 people make 128 lb of garbage in one week then 48 people would make 1,536 lb of garbage in one week because the difference between 4 and 48 is 12 (48 ÷ 4 = 12) so if you multiply 128 lb by 12 you get 1,536 lb of garbage ( 128 × 12 = 1,536 lb).

If your observed Z or t statistic falls in the "critical region," it means that the probability of obtaining a value as extreme or more extreme than the observed statistic is very low, assuming the null hypothesis is true.

The critical region is a range of values of a test statistic, such as Z or t, that indicate the rejection of the null hypothesis. In hypothesis testing, the null hypothesis is a statement that there is no significant difference between two groups or that there is no effect of an intervention. The alternative hypothesis is the opposite of the null hypothesis, and it suggests that there is a significant difference or an effect of the intervention.

The critical region is determined by the level of significance, which is a pre-specified threshold that is usually set at 0.05 or 0.01. If the observed test statistic falls within the critical region, it means that the probability of obtaining a value as extreme or more extreme than the observed statistic is very low, assuming the null hypothesis is true. This probability is called the p-value. Therefore, you would reject the null hypothesis and conclude that there is a significant difference or relationship between the variables being studied.

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Step-by-step explanation:

In the figure ,angle DEF=Angle DHG=50.prove that

There are 176,851 ways to store the bikes in four distinct warehouses if the bikes are indistinguishable and the warehouses are distinct.

Let's consider the two scenarios separately:

Scenario 1: Bikes and warehouses are considered distinct.

In this case, each bike and each warehouse is considered distinct. We need to find the number of ways to distribute 100 distinct bikes among 4 distinct warehouses.

To solve this, we can use the concept of stars and bars. Imagine we have 100 stars representing the bikes, and we want to separate them into 4 distinct groups (warehouses) using 3 bars.

The number of ways to distribute the bikes can be calculated as (100 + 3) choose 3:

Number of ways = (100 + 3)C3 = 103C3 = (103 * 102 * 101) / (3 * 2 * 1) = 176,851.

Therefore, there are 176,851 ways to store the bikes in four distinct warehouses if the bikes and warehouses are considered distinct.

Scenario 2: Bikes are indistinguishable, warehouses are distinct.

In this case, the bikes are indistinguishable, but the warehouses are distinct. We need to find the number of ways to distribute 100 identical bikes among 4 distinct warehouses.

This problem can be solved using the concept of stars and bars again. Since the bikes are indistinguishable, the placement of bars doesn't matter.

We can think of it as distributing the 100 bikes into 4 distinct groups (warehouses) using 3 bars. The number of ways to do this can be calculated as (100 + 3) choose 3:

Number of ways = (100 + 3)C3 = 103C3 = (103 * 102 * 101) / (3 * 2 * 1) = 176,851.

Therefore, there are 176,851 ways to store the bikes in four distinct warehouses if the bikes are indistinguishable and the warehouses are distinct.

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Answer:

64

125

125

angular

27

45

Step-by-step explanation:

Lord have mercy on me

Answer:

20 kilometers

Step-by-step explanation:

24 x 5/6 = 20

Let's solve for x

Y=x-5

step 1:flip the equation

x-5=y

step 2:Add 5 to both sides

x-5+5=y+5

x=y+5

answer :x=y+5

PLEASE MARK ME AS BRAINLIEST

Answer:

b

Step-by-step explanation:

if the 2 is like this (x+2) it would move to the left but if its like this x+2 it would move up

Answer:

\(\Large \boxed{\mathrm{Option \ D}}\)

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

Answer : P(x) = 25,000x + 1,730,000P(x) represents the population of Phoenix after x years since 2020.

Explanation:

Given information: The population of Phoenix in 2020 was approximately 1,730,000 and the city's population grew by 25,000 people in 2020.

Model for the population of Phoenix x years after 2020 if it continues to grow by 25,000 people per year:

To find the population of Phoenix after x years since 2020, we need to add the number of people that moved into Phoenix since 2020, i.e., 25,000 people per year.

If x represents the number of years since 2020, then the model is given as follows:

P(x) = 25,000x + 1,730,000P(x) represents the population of Phoenix after x years since 2020.

We need to add 1,730,000 to 25,000x because 1,730,000 is the initial population in 2020.

Therefore the required model P(x) = 25,000x + 1,730,000P(x) represents the population of Phoenix after x years since 2020.

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Answer:

8

Step-by-step explanation:

Reverse the steps and reverse the operations (divide to multiply, add to subtract)

Multiply 6 by 2 to get 12 and subtract 4 to get 8

Answer: 267,306

Step-by-step explanation:

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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Answer:

4:7 and 20:35 4:7 and 16:28 2:3 and 20:35

Answer:

0.833

Step-by-step explanation:

Because 1 and 2/3=1.666

0.833 x 2=1.666 so that's how it's your answer

Have a great day :}

a. The probability that exactly two Type 1 calls are made from the motel during a period of 1 hour is 0.3347. b. The probability that at most two Type 1 calls is 0.6767. c. The probability that at least four Type 1 calls is 0.1072. d. The mean of the random variable X is 1.5. e. The standard deviation of the random variable X is approximately 1.2247.

a. The probability of exactly two Type 1 calls can be calculated using the Poisson distribution formula with a parameter of λ = 1.5. Plugging in the value of k = 2, we get a probability of 0.3347.

b. The probability of at most two Type 1 calls can be calculated by summing the probabilities of 0, 1, and 2 Type 1 calls. Using the Poisson distribution formula, we can calculate the probabilities for each value and sum them up. This gives us a probability of 0.6767.

c. The probability of at least four Type 1 calls can be calculated using the complementation rule. The complement of "at least four calls" is "less than four calls." We calculate the probabilities of 0, 1, 2, and 3 Type 1 calls, and subtract this sum from 1. This gives us a probability of 0.1072.

d. The mean of a Poisson distribution is equal to its parameter λ, which in this case is 1.5.

e. The standard deviation of a Poisson distribution is equal to the square root of its parameter λ. Taking the square root of 1.5, we get approximately 1.2247.

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Answer:

1/8(3x+4y+3)

Step-by-step explanation:

The sample space for rolling a fair seven-sided die is S = {1, 2, 3, 4, 5, 6, 7}.

Given that,

A fair seven sided die is rolled.

We have to find the sample space of the rolling.

A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.

The subset of the sample space are events.

The die has the numbers marked from 1 to 7.

So when we roll the die,

The possible numbers are 1, 2, 3, 4, 5, 6, 7

Sample space = {1, 2, 3, 4, 5, 6, 7}

Hence the sample space is {1, 2, 3, 4, 5, 6, 7}.

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Answer:

5 inches

Step-by-step explanation:

To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is \(a^2+b^2=c^2\) where a and b are the perpendicular sides and c is the hypotenuse. So, plugin  3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.

Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.

Answer: i think its  3 i not the best at math so im so sorry if this is wrong lol

Step-by-step explanation: