Joe borrowed 2000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 5years

Answer:

8 rides

Step-by-step explanation:

20 + .50x = 24

-20             -20

.50x = 4

/.50    /.50

x = 8

Answer:

8

Step-by-step explanation:

If you have $24 and you buy a $20 ticket to get in, you are left with four dollars.

Since each ride is $0.50 and that is half a dollar, you can multiply four times two. This gives you eight.

Therefore, you can ride 8 rides :)

The ordered pair that is 5 units away is (-1, -3)

What is a line?

A line is a distance between two points.

Analysis:

see attached file.

In conclusion, the ordered pair is (-1, -3)

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Answer:

6

Step-by-step explanation:

2 to the power of 1 is 2, anything to the power of one is the original number itself. 3*2=6

Answer:

3x2^1 is equivalent to 6

Step-by-step explanation:

3x2^1=

3x(2)=

6

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Answer:

2/3 = y

Step-by-step explanation:

to solve you got to cancel out the 7
so 7y/7.
whatever you do to one side, you do to the other.
14/3 ÷ 7 = 7y/7
14/3 ÷ 7 = 0.6666... = 2/3 = y

A line plot would be the best data display to highlight every height.

A line plot, also known as a dot plot, is a type of graph that displays data as a series of dots on a number line. Each dot represents a single data point, and the dots are placed above the corresponding value on the number line.

Line plots are useful for displaying small data sets because they provide a simple visual representation of the data. They can quickly show the range of values in the data set, as well as any outliers or clusters of data points. Line plots are commonly used in elementary and middle school classrooms to teach basic data analysis and graphing skills. They are also used in scientific research and statistical analysis to visualize small data sets and identify patterns in the data.

A line plot, also known as a dot plot, displays the data as points on a number line. Each data point is represented by a dot, making it easy to see every height in the data set. Here is an example of a line plot for the given data:

A display that will highlight every height would be a line plot, which would show each individual height as a dot along a number line.

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Option B is inaccurate since historical data and weather trends may be expressions used to determine the chance. Since probabilities are always between 0 and 1, option D is erroneous.

An expression in mathematics is a collection of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complex as  They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals . Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complex mathematical issues.

The following statement is most likely correct concerning the likelihood of temperatures falling below 32 degrees Fahrenheit in Maine during the month of January:

D. The probability is greater than one.

Maine is noted for its frigid winters, with temperatures often falling below freezing in January. Yet, it is not certain that temperatures would never fall below 32 degrees Fahrenheit in January. As a result, it is safe to state that the likelihood of temperatures falling below 32 degrees Fahrenheit is high, but not absolutely 100%. Option B is inaccurate since historical data and weather trends may be used to determine the chance. Since probabilities are always between 0 and 1, option D is erroneous.

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Answer:

1/3 -- 33.3%

37/100 -- 0.37

1/4 -- 25%

19/50 -- 30%

3/20 -- 15%

Step-by-step explanation:

It seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

To compute the flux of the vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ through the surface S given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0, oriented toward the xz-plane, we can use the surface integral.

The surface integral of a vector field F⃗ over a surface S is given by the formula:

∬S F⃗ · dS = ∬S F⃗ · (n⃗ dS)

where F⃗ is the vector field, dS is the differential area vector, and n⃗ is the unit normal vector to the surface.

In this case, the surface S is given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0. We can parameterize this surface as:

r(x, z) = xi⃗ + yj⃗ + zk⃗ = xi⃗ + (x^2+z^2)j⃗ + zk⃗

To find the normal vector n⃗ to the surface, we can take the cross product of the partial derivatives of r(x, z) with respect to x and z:

n⃗ = ∂r/∂x × ∂r/∂z

= (1i⃗ + 2xj⃗) × (0i⃗ + 2zj⃗)

= -2xz i⃗ + 2zj⃗ + 2xk⃗

Now, we can calculate the flux:

∬S F⃗ · (n⃗ dS) = ∬S (3(x+z)i⃗ + 2j⃗ + 3zk⃗) · (-2xz i⃗ + 2zj⃗ + 2xk⃗) dS

= ∬S (-6x^2z - 4xz + 6xz^2 + 6xz) dS

= ∬S (-6x^2z + 2xz + 6xz^2) dS

To evaluate this integral, we need to determine the limits of integration for x, y, and z.

Since the surface is defined by 0≤y≤16, x≥0, z≥0, we have:

0 ≤ y = x^2 + z^2 ≤ 16

Simplifying the inequality, we get:

0 ≤ x^2 + z^2 ≤ 16

From this, we can see that x and z both range from 0 to 4.

Now, we can evaluate the flux:

∬S (-6x^2z + 2xz + 6xz^2) dS = ∫∫ (-6x^2z + 2xz + 6xz^2) dA

where dA is the differential area.

Integrating over the limits 0 ≤ x ≤ 4 and 0 ≤ z ≤ 4, we can calculate the flux.

However, it seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

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To find the expected number of sixes appearing on three die rolls, we can calculate the probability of rolling a six on each individual roll and then multiply it by the number of rolls.

The probability of rolling a six on a single roll of a fair die is 1/6, since there are six equally likely outcomes (numbers 1 to 6) and only one of them is a six.

Since the rolls are independent events, we can multiply the probabilities together to find the probability of rolling a six on all three rolls:

(1/6) * (1/6) * (1/6) = 1/216

Therefore, the probability of rolling a six on all three rolls is 1/216.

To find the expected number of sixes, we multiply the probability by the number of rolls:

Expected number of sixes = (1/216) * 3 = 1/72

So, the expected number of sixes appearing on three die rolls is 1/72.

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The length of segment MN is 6 units. Option B.

To find the length of segment MN, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √[(x2 - x1)² + (y2 - y1)²]

In this case, the coordinates of point M are (3, 2), and the coordinates of point N are (9, 2). Plugging these values into the distance formula, we have:

Distance = √[(9 - 3)² + (2 - 2)²]

= √[6² + 0²]

= √[36 + 0]

= √36

= 6 units

The length of a segment on the coordinate plane can be found using the distance formula. Applying the formula to points M(3, 2) and N(9, 2), we calculate the distance as √[(9 - 3)² + (2 - 2)²], which simplifies to √[36], resulting in a length of 6 units. Hence, the correct answer is B.

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The graph of the given equation is plotted below.

The given equation is y=2/7 x.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Graph the line using the slope and y-intercept, or two points.

Slope: 2/7

y-intercept: (0, 0)

Plot the points (0, 0) and (7, 2) on the graph

Hence, the graph of the given equation is plotted below.

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Answer:

C) 840

C) 87

D) 3000-150n

Step-by-step explanation:

Answer:

c

c

d

Step-by-step explanation:

(-2, 5) Minimum

Step-by-step explanation:

y-5=(1/3)(x + 2)²

y-5=(1/3)(x²+4x+4))

y-5=1/3x²+4/3x+4/3

y=1/3x²+4/3x+4/3+5

y=1/3x²+4/3x+4/3+15/3

y=1/3x²+4/3x+19/3

graph is attached

x= -b/2a

x= (-4/3)/2(1/3)

x= (-4/3)/(2/3)

x= (-4/3)*(3/2)

3's cancel

x= (-4/1)*(1/2)

x = -4/2

x = -2

plug -2 back into

y=1/3x²+4/3x+19/3

y=1/3*4+4/3*-2+19/3

y=4/3-8/3+19/3

y=15/3

y=5

(-2,5)

if a is positive

graph looks like a smile

so minimum

if a is negative

graph looks like a frown

so maximum

quadraticswbi.weebly.com

Answer:

-6, -4 , -3 , and - 1 only.

Step-by-step explanation:

−12x + 3 ≥  5

-12x  ≥  5 - 3

-12x  ≥  2

Divide both sides by -12:

x ≤ -1/6    (Note the inequality sign flips because we are dividing by a negative value).

So considering the given set, all the values except 0 and 2 fit this inequality.

Answer:

length times width so.... 24

Answer:

1.6 mi / hr

0.625 hr / mi

Step-by-step explanation:

4/2.5 = x / 1

2.5/2.5 = 1

So, 4 / 2.5 = 1.6

1.6 mi / hr

4= m

2.5 = hr

4 / 4 = 1

2.5 / 4 = 0.625

0.625 hours / mile

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.

A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.

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If you need to use infinity or –infinity, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE. The limit numerically of:- A) 7, B) DNE, C) DNE and D) 2.

A) lim x→0 (x − 14) / (x − 2)
As x approaches 0, the numerator (x-14) approaches -14, and the denominator (x-2) approaches -2. Therefore, the limit is -14/-2 = 7.
Answer: 7

B) lim x→4 (x^2 − 5) / (x − 4)
As x approaches 4, the numerator (x^2-5) approaches 11, and the denominator (x-4) approaches 0. Therefore, the limit does not exist.
Answer: DNE

C) lim x→−5 (x^2 + 10x + 25) / (x + 5)
As x approaches -5, the numerator (x^2+10x+25) approaches 0, and the denominator (x+5) approaches 0. Therefore, the limit does not exist.
Answer: DNE

D) lim x→+[infinity] (8x^2 + 4x + 80) / (4x^2 − 8)
As x approaches infinity, the numerator (8x^2+4x+80) and the denominator (4x^2-8) both approach infinity. However, the leading term in the numerator is 8x^2, and the leading term in the denominator is 4x^2. Therefore, the limit is 8/4 = 2.
Answer: 2

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Answer:

Step-by-step explanation:

William's present age = x

William 15 years from now = x + 15

William 5 years ago = x - 5

William says that 15 years from now, his age will be 3 times his age 5 years ago.

x + 15 = 3(x-5)  ← equation formed

x + 15 = 3x - 15

3x - x = 15 + 15

2x = 30

x = 15 . ← William's current age

William is 15 now

Answer:

y=0

Step-by-step explanation:

the x coordinate is 5 and the y coordinate is 0 because the line does not move up the y axis

Answer:

your question is a little messed up.

the equation for the blue line is x = 5

y=x if you're looking for an equation that satisfies (0,0) and (5,5)

Answer:

1. well defined

2. not

3. well defined

4. well defined

5. well defined

6. not

7. well defined

8. not

9. well defined

10. not

Step-by-step explanation:

The time taken for Montraie to travel a distance of 88 miles is 2 hours.

Speed is simply referred to as distance traveled per unit time.

It expressed mathematically as;

Speed = Distance ÷ time.

Given the data in the question;

First, we determine the speed of Montraie.

Speed = Distance ÷ time.

Speed =  220 miles ÷ 5 hours

Speed = 44 miles per hour.

Now, time spent in traveling a distance of 88 miles will be;

Speed = Distance ÷ time

Time = Distance / Speed

Time = 88 miles / 44 miles per hour

Time = 2 hours

Therefore, the elapsed time is 2 hours.

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If Montraie drove 220 miles in 5 hours. If he continued at the same rate, then it takes 2 hours to travel 88 miles.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Montraie drove 220 miles in 5 hours.

We need to find how long it would take to reach 88 miles.

Let us form a equation based on given data.

Let x be the time to reach 88 miles.

We need to find value of x.

220/5=88/x

Apply cross multiplication

220x=440

x=440/220

x=2

Hence it takes 2 hours to travel 88 miles with same rate.

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Answer:

8.1 miles per day

Step-by-step explanation:

18 + 5x = 48.5 >> subtract 18 to both sides

5x= 40.5 >> divide by 5 to both sides

x= 8.1 miles

The power series approximation of f(x)g(x) up to order 3 is:

\(e^56 sin 8x - 22(5x)sin 8x - 2e^56(5x) + 22(5x)^2 sin 8x\)

To find the power series expansion of the product f(x)g(x), we need to multiply the power series expansions of f(x) and g(x) and collect like terms.

First, let's find the power series expansion of f(x):

\(f(x) = e^56 - 2(5x)^"\)

Using the formula for the power series expansion of e^x:

\(e^x = 1 + x + (x^2)/2! + (x^3)/3! + ...\)

We can write the power series expansion of f(x) as:

\(f(x) = e^56 - 2(5x)^"\)

\(= (1 + 56 + (56^2)/2! + (56^3)/3! + ...) - 2(5x)^(1)\)

= \(1 - 5x + (56 - 25x^2) +\)...

Now let's find the power series expansion of g(x):

g(x) = sin 8x

= (8x) - (8x)^3/3! + (8x)^5/5! - ...

Finally, we can multiply the power series expansions of f(x) and g(x) to get the power series expansion of f(x)g(x):

\(f(x)g(x) = (1 - 5x + (56 - 25x^2) + ...) * ((8x) - (8x)^3/3! + (8x)^5/5! - ...)\)

\(= (8x) - (40x^2) + (568x^2)/2! + ((56-8*8)/2!)x^4 + ...\)

Collecting like terms up to order 3, we get:

\(f(x)g(x) = (8x) - (40x^2) + (224x^3)/3! + ...\)

Therefore, the power series approximation of f(x)g(x) up to order 3 is:

\(e^56 sin 8x - 22(5x)sin 8x - 2e^56(5x) + 22(5x)^2 sin 8x\)

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