Ward finances $20,000 to purchase a car. If he gets a 2. 5% interest rate regardless of loan length, how much interest will Ward save if he finances the $20,000 for 3 years rather than 5 years?.

Answer:

twenty thousand four hundred and eight four one hundred and sixty four

Answer:

20,000,000 + 400,000 + 80,000 + 4,000 + 100 + 60 + 3

Step-by-step explanation:

You would have to add all the numbers together that makes 20,484,163 based on the place value. Expanded form for 20,484,163 is 20,000,000 + 400,000 + 80,000 + 4,000 + 100 + 60 + 3

Answer:

1 feet

Step-by-step explanation:

15-14

Answer:

The equation of the line is:

\(y=-3x+4\)

Please check the attached graph.

Step-by-step explanation:

x                        y

-1                       7

2                       -2

7                       -17

10                     -26

Taking two points (-1, 7) and (2, -2) to find the slope

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-1,\:7\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)\)

\(m=\frac{-2-7}{2-\left(-1\right)}\)

Refine

\(m=-3\)

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -3 and the point (-1, 7)

\(y-7=-3\left(x-\left(-1\right)\right)\)

\(y-7=-3\left(x+1\right)\)

Add 7 to both sides

\(y-7+7=-3\left(x+1\right)+7\)

Simplify

\(y=-3x+4\)

Therefore, the equation of the line is:

\(y=-3x+4\)

Please check the attached graph.

If two events are mutually exclusive then they cannot occur at the same time so as P(event 1 and event 2) = 0. Therefore, the correct answer is A: P(A and B)=0 because A and B cannot occur at the same time.

When two events are mutually exclusive, it means that they cannot both occur at the same time. In other words, if one event occurs, the other event cannot occur. Therefore, the probability of both events occurring together is 0. This is why P(A and B)=0 when events A and B are mutually exclusive.

For example, if we have two events A and B, where A is the event of rolling an even number on a die and B is the event of rolling an odd number on a die, these two events are mutually exclusive. It is not possible to roll both an even and an odd number at the same time, so P(A and B)=0.

In conclusion, when two events are mutually exclusive, the probability of both events occurring together is 0 because they cannot both occur at the same time.

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Answer:

false

Step-by-step explanation:

Answer:

y= -2x -7

Step-by-step explanation:

y=mx+b

y= -2x+b

1 = -2(-4) +b

1 = 8+b

b= -7

y= -2x -7

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

devide 1080 by 5 and 2880 by 5 the it will 216 and 576

Answer: 1080 is an. Octagon, 8 sides

180 is a triangle.

2880 is an 18gon 18 sides

Step-by-step explanation:

Divide the sum of the interior angles by 180 and add 2 to the dividend.

1080/180=>6+2=8

180/180 => 1 +2 =3

2880/180=> 16+2= 18

Answer: He is correct

Step-by-step explanation:

25% is equal 25/100 which simplified to 1/4

Answer:

The dog is 20 inches tall now.

Step-by-step explanation:

Given that:

Height of dog when it was a puppy = \(5\frac{1}{2}\) inches

Height of dos now = \(14\frac{1}{2}\) than previous height

It means that we will add this height in the height of dog when it was a puppy.

Height of dog now = \(5\frac{1}{2}+14\frac{1}{2}\)

Height of dog = \(\frac{11}{2}+\frac{29}{2}=\frac{11+29}{2}=\frac{40}{2}\)

Height of dog = 20 inches

Hence,

The dog is 20 inches tall now.

Answer:

225

Step-by-step explanation:

length of side in square 3 = 36/4

=9

length of side in square 2 = 48/ 4

= 12

using pythagorus theorem you can find side of square 1

take the triangle between 3 and 2

9^2 + 12^2 = length of side 1^2

81 + 144 = l^2

225 = l^2

l = 15

therefore length of side 1 is 15

area of square 1 = 15^15

area = 225 square units

hope this helped

ask if you didn't understand something or you think i am wrong:)

Answer:

x=12

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

Step 2: Multiply both sides by 4.

and you get x=12

Answer:

12

Step-by-step explanation:

first move the 7 to the right of your equation, which then becomes 10-7= 3. then divide 3 by 1/4 and x= 12

plug in 12 back into x to make sure it is correct

Answer:

Median is: 18

Interquartile range: 4

Range: 18

Step-by-step explanation:

hope this helps!

The car will travel 2500 miles when the plane travels 500 miles. Therefore, the option is not given.

Let's set up a proportion to find the distance the car will travel when the plane travels 500 miles.

The car travels at a speed of 50 miles per hour, which can be represented as 50 miles / 1 hour.

The plane travels at a speed of 10 miles per minute, which can be represented as 10 miles / 1 minute.

We want to find the distance the car will travel when the plane travels 500 miles.

Setting up the proportion:

(50 miles / 1 hour) = (x miles / 500 miles) (10 miles / 1 minute)

To solve for x (the distance the car will travel), we can cross-multiply and solve for x:

50 miles * 1 minute * 500 miles = 10 miles * 1 hour * x

Simplifying the equation:

50 * 1 * 500 = 10 * 1 * x

25000 = 10x

x = 25000 / 10

x = 2500

Therefore, the car will travel 2500 miles when the plane travels 500 miles.

Since none of the given options match the calculated distance of 2500 miles, it seems that there may be an error in the provided answer choices.

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Answer:

A C E H

Step-by-step explanation:

Answer:

21 small dogs, 42 total dogs

Step-by-step explanation:

7×3=21

7+7=14

14×3=42

At the 5% significance level, we have sufficient evidence to conclude that the population mean is higher than 40 hours.

To test the null hypothesis that the population mean is 40 hours against the alternative that it is higher, we can perform a one-sample t-test.

The null hypothesis (H₀): μ = 40 (population mean is 40 hours)

The alternative hypothesis (H₁): μ > 40 (population mean is higher than 40 hours)

Given a sample of 10 students, the sample mean (x') is 45 hours and the sample standard deviation (s) is 10.5409.

Using the t-test, we calculate the test statistic t:

t = (x' - μ₀) / (s / √n)

Where x' is the sample mean, μ₀ is the null hypothesis population mean (40), s is the sample standard deviation, and n is the sample size (10).

Plugging in the values, we get:

t = (45 - 40) / (10.5409 / √10)

t ≈ 2.38

Next, we determine the critical value or the p-value associated with a significance level of 5%. For a one-tailed test (since we are testing if the mean is higher), the critical value is tc = t(α,n-1), where α is the significance level and n-1 is the degrees of freedom.

At a significance level of 5%, with 9 degrees of freedom (n-1), the critical value is tc = 1.833 (obtained from a t-table or statistical software).

Since the calculated t-value (2.38) is greater than the critical value (1.833), we reject the null hypothesis.

Therefore, at the 5% significance level, we have sufficient evidence to conclude that the population mean is higher than 40 hours based on the given sample data.

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Your alternative hypothesis is a statement that directly contradicts the null hypothesis.

Since H0: p = 0.151 and you expect it to decrease

then Ha: p < 0.151

So your answer is e

Now we can use the formula for cos (theta) to find the angle of view:
cos(theta) = adjacent/hypotenuse = 20/28.28
theta = cos^-1(20/28.28) = 45 degrees
So the angle of view of the sniper is 45 degrees.

To find the angle of view for the sniper on top of a building, we can use the trigonometric functions you provided. In this case, we know the height of the building (20 meters) and the horizontal distance (also 20 meters).

Let's denote the height as 'y' and the horizontal distance as 'x'. Given the information, y = 20 meters and x = 20 meters.

We can use the tangent function (tan theta) to find the angle:

Tan theta = y/x

Tan theta = 20/20 = 1

Now, we need to find the angle (theta) by taking the inverse tangent (arctan) of the result:

theta = arctan(1)

Using a calculator or conversion table, we find that:
cos(theta) = adjacent/hypotenuse = 20/28.28
theta = cos^-1(20/28.28) = 45 degrees
theta ≈ 45°

So, the angle of view for the sniper on top of the 20-meter high building with a 20-meter slope is approximately 45 degrees.

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Answer

$850.50

I think

Step-by-step explanation:

Answer:

874

Step-by-step explanation:

Couches: 2 × 677 = 1,354

Beds: 4 × 465 = 1,860

Lamps: 3 × 94 = 282

1,354 + 1,860 + 282 = 3496

Four equal payments: 3496 ÷ 4 = 874

Answer:

A.  y = x + 25

    x + y = 75

B.  25 minutes

C.  50 minutes

Step-by-step explanation:

Define the variables:

If Jackie dances 25 minutes more than she runs:

\(\implies y=x+25\)

If Jackie runs and dances for 75 minutes:

\(\implies x+y=75\)

Substitute the first equation into the second equation and solve for x:

\(\implies x+(x+25)=75\)

\(\implies 2x+25=75\)

\(\implies 2x+25-25=75-25\)

\(\implies 2x=50\)

\(\implies 2x\div 2=50 \div 2\)

\(\implies x=25\)

Therefore, Jackie spends 25 minutes running everyday.

Substitute the found value of x into the first equation and solve for y:

\(\implies y=25+25\)

\(\implies y=50\)

Therefore, the greatest amount of time Jackie could spend dancing every day, given she will take a run, is 50 minutes.

3/8 in a decimal, divide the denominator by the numerator to get 3/8 as a decimal 3/8 is 0.375.

We divide the numerator by the denominator to convert a fraction to a decimal number. This results in a decimal value because, when dividing, we add the decimal place and then add the necessary number of zeros to finish the division.

3/8

3[1/2 x 1/2 x 1/2]

3[0.5 x 0.5 x 0.5]

3 x 0.125

0.375

To convert a fraction to a decimal, all you have to do is divide the numerator by the denominator. We position the number over its place value when converting a decimal to a fraction.

Just dividing the numerator by the denominator is all that is required to convert a fraction to a decimal.

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answer:

A≈1039.23

Solution

A=33

2a2=3·3

2·202≈1039.23048

The largest possible integer or maximum value that could be included in the set is 4897.

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This usually means average.

The median is the middle value of the list ordered from smallest to largest.

Mode is the most frequently occurring value in the list.

Numbers x1,x2,x3,x4 and x5 (these are in numerical order.)

We know that (x1+x2+x3+x4+x5) / 5 = 1000. This is equivalent to x1+x2+x3+x4+x5 = 5000.

Also, the median of (x1,x2,x3,x4,x5) is (x3) = 100. So x3=100.

x1+x2+100+x4+x5=5000

x1+x2+x4+x5=4900

Since x1, x2,x4 are positive,

The maximum value of x5 is 4897.

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The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

We have,

Let's analyze each of the given statements to determine whether they are identities:

tan x = sin x / cos x:

This is an identity.

It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).

tan x cos x = sin x:

This is not an identity.

It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

cos x = tan x sin x:

This is not an identity.

Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

sin x / tan x = cos x:

This is an identity.

It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.

Thus,

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

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Yes, that statement is correct. The shape of the t-distribution becomes flatter as the sample size increases.

The t-distribution is a probability distribution that is commonly used in statistical inference when the sample size is small or when the population standard deviation is unknown. It is similar to the normal distribution but has thicker tails.

As the sample size increases, the t-distribution approaches the shape of the standard normal distribution (i.e., the normal distribution with a mean of 0 and a standard deviation of 1). The standard normal distribution has a symmetrical and bell-shaped curve with finite tails.

Therefore, As the sample size increases, the t-distribution becomes closer to the standard normal distribution, which is flatter compared to the t-distribution with smaller sample sizes.

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We Know That,

\( speed \: = \frac{distance}{time} \)

Hence,

\(time \: = \frac{distance}{speed} \)

According to given,

speed = 783 km/h

distance = 8352 km

Therefore,

\(time \: = \frac{8352}{783} \)

time = 10.6

time = 10hr 40mins

Now,

Also given that-

plane leaves at 9hr 52mins local time

hence,

time = 10hr 40mins + 9hr 52mins

time = 20hr 32mins

But,

plane is 2hrs behind

Therefore,

time = 20hr 32mins - 2hrs

time = 18hrs 32mins

What is speed?

Speed is defined as :

The rate of change of position of an object in any direction.

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Speed Formula

The formula of speed is given in the table below:

s = d/t

where,

this is the time taken in s

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