If I deposit $ 800 in a savings account at 6% interest compounded annually, and if I make no withdrawals or deposits for 4 years, how much will I have in my account at the end of 4 years?

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

To find the critical points of the function f(x, y) = 1 + xy + x3 + xy2, we can take the partial derivatives of the function with respect to x and y, and set them equal to 0:

∂f/∂x = y + 3x2 + y2 = 0

∂f/∂y = x + 2xy = 0

Solving the system of equations yields four critical points:

(x, y) = (-2, 0), (0, 0), (0, -2), (2, 0).

We can now classify each of these critical points as a local maximum, local minimum, or saddle point:

(x, y) = (-2, 0) is a local minimum

(x, y) = (0, 0) is a saddle point

(x, y) = (0, -2) is a local maximum

(x, y) = (2, 0) is a local minimum

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Answer:

red, yellow, blue, brown, orange, green, violet, black, carnation pink, yellow orange, blue green, red violet, red orange, yellow green, blue violet, white, violet red, dandelion, cerulean, apricot, scarlet, green yellow, indigo and gray, canary yellow, unmellow yellow, emerald, jade, green earth, champagne pink, pink lace, piggy pink, magenta,

Step-by-step explanation:

Answer: 0.35

Step-by-step explanation:

3.325 divided by 9.5 = 0.35

Answer:

6

Step-by-step explanation:

4/5 of the people at the picnic are children. There are 24 children. So 24 is 4/5 of the whole. You ÷4 to find 1/4. This is 6. So you add on the 6 as 1/4 add 4/5 equals the whole number of people there are at the picnic, 5/5. 24 add 6 is 30 so there are 30 le e at the picnic, and 6 adults.

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

For confidence interval: support of the association rule A to B is 0.5 and the confidence of the association rule A to B is 0.5.

For Support and confidence of the association rule A - B

To determine the support and the confidence of the association rule A → B, where A = {1, }, B = {1}, we use the formulas given below:

Support(A → B) = frequency of (A, B) / N

Confidence(A → B) = frequency of (A, B) / frequency of A

where N is the number of transactions in the database.

To find the frequency of (A, B) and the frequency of A.

Thus Frequency of (A, B) = 1

Since there is only one transaction in the database where both A and B occur, the frequency of (A, B) is 1.

Frequency of A = 2

The itemset {1, } occurs in two transactions T₁ and T₂.

Hence, the frequency of A is 2.

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Answer:

yes. by AAA, i think she mistyped an A not sure

Step-by-step explanation:

The remaining angle of the bigger triangle = 180 - 84.6 - 30.4 = 65 (angle sum of triangle)

The three angles are the same for both triangles

The triangles are similar to each other because the angle-angle theorem is satisfied.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangles are given.

Let the third angle of the triangle be x. Then we have

84.6° + 30.4° + x = 180

                        x = 65°

Then the triangles are similar to each other because the angle-angle theorem is satisfied.

Thus, the correct option is C.

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Answer:

n = 3.02

Step-by-step explanation:

12.65 - n = 9.63

- n = 9.63 - 12.65

- n = - 3.02

-n/-1 = -3.02/-1

n = 3.02

Answer:

3.02

Step-by-step explanation:

Answer: 13 and 5= coeeficients, x and y = variables,  -2 and 3 =constants

Step-by-step explanation:

Answer:

  15 yd/s

Step-by-step explanation:

You want to know the rate of change of distance to a firework when it is 8 yards away horizontally, 6 yards high, and its height is increasing at 25 yards per second.

The geometry of the problem can be modeled by a 3-4-5 right triangle scaled by a factor of 2 yards. The straight-line distance to the firework is ...

  5 × (2 yd) = 10 yards

The vertical distance is given as 6 yards, increasing at 25 yd/s. Then the cosine of the angle from the line of sight to the direction of travel is ...

  cos(α) = adjacent/hypotenuse = (6 yd)/(10 yd) = 0.6

The speed in the direction of the line of sight is the speed of the firework, multiplied by the cosine of the angle between its direction and the line of sight:

  rate of change of distance away = (25 yd/s) × cos(α) = (25 yd/s)(0.6)

  rate of change of distance away = 15 yd/s

__

Additional comment

The rate of change can also be found using calculus. The distance away can be expressed using the distance formula, and its derivative found. The value of that derivative at the time of interest will give the rate of change of distance to the firework. This is shown in the second attachment, using a graphing calculator to find the derivative.

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

In statistics, a percentile is a metric that represents the value below which a specific percentage of observations in a group fall.

Your overall percentile cannot be calculated with the information given. Percentile ranks show the proportion of scores that are either the same as or lower than a certain score. 85% of test takers will have scores that are equal to or lower than yours, for instance, if you score in the 85th percentile.

  You must be aware of the distribution of scores for each of the three tests (Verbal, Quantitative, and Analytical Writing) in order to compare your individual test results to those distributions and get your overall percentile. Your total percentile cannot be calculated without this information.

So, by using given information we cannot calculate total percentile .

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Answer:

-12cx + 6cy

Step-by-step explanation:

-3c x 4x = -12cx

-3c x -2y = 6cy this is because when you multiply 2 negatives, it becomes a positive

Final Answer: -12cx + 6cy

In conclusion, 95.4% of students have GMAT scores between 400 and 800.

Calculate z score need to find the proportion of scores that fall within the range of 400 to 800.

\(z=\frac{x- mean}{standard deviation}\)

This formula tells us how many standard deviations away from the mean a given score is.

Given:

Mean= 600

Standard deviation = 100.

For the 400 scores:-

\(z=\frac{400-600}{100} \\z= -2\)

For the 800 scores:-

\(z=\frac{800-600}{100} \\z=2\)

Now we will use the standard normal distribution table to find the percentage of values between -2 and 2.

According to the standard normal distribution table, the percentage of values between -2 and 2 is approximately 95.45%.

Therefore, approximately 95.45% of students have GMAT scores between 400 and 800.

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The number of adult tickets that were sold would be = 435 tickets.

A ticket is an official document that gives an individual access to an event.

The cost of adult tickets = $8

The cost for student tickets = $4

The number of students tickets sold = X

The number of adults tickets sold = X +30

The told number of tickets sold = 840

To find X;

X + X + 30 = 840

2x + 30 = 840

2x = 840-30

2x = 810

X = 810/2

X = 405

Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.

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Answer:

17

Step-by-step explanation:

IQR = Q3 - Q1

1st Quartile: 13

3rd Quartile: 30

IQR = 30 - 13 = 17

Answer:

B    -1/4

Step-by-step explanation:

To find the common ratio, divide any term by the previous term.

1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4

=====================================================

Explanation:

Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.

So let's say we pick on term 3 and divide it over term 2. That will get us...

\(r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\\)

Where r is the common ratio.

As another example, let's say we picked on term 4 and divided it over the third term

\(r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\\)

We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.

-------------

Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.

For instance,

term 3 = (term 2)*(common ratio)

term 3 = (1/16)*(-1/4)

term 3 = -1/64

which matches with the given sequence

Answer:

0.13188 km

Step-by-step explanation:

The distance covered by the bicycle wheel can be calculated using the formula:

distance = circumference x number of revolutions

The circumference of the wheel can be calculated using the formula:

circumference = 2 x pi x radius

where pi is approximately equal to 3.14.

Substituting the given values:

circumference = 2 x 3.14 x 30 cm

circumference = 188.4 cm

Now, we can calculate the distance covered by the wheel:

distance = circumference x number of revolutions

distance = 188.4 cm x 70

distance = 13188 cm

To convert this distance from centimeters to kilometers, we need to divide by 100,000 (since there are 100,000 centimeters in a kilometer):

distance = 13188 cm ÷ 100,000

distance = 0.13188 km

Therefore, the distance covered by the bicycle wheel is approximately 0.13188 km.

Answer:

18

Step-by-step explanation:

Can you please help me with a question? language arts related?

Answer:

The first one is B. 11.75

The second one is A. 4

Step-by-step explanation:

In order to find how many liters (L) of paint he used you need to do 2.5*5.5=13.75 Then to find out how much he has left you do 25-13.75=11.75 So your answer is 11.75.

The second one you have to do the reverse. So since it says 4*_=48, you do 48÷4=_=12. Then since it says 12*1/3=_ You can do 12÷3=_=4 So your answer is 4.

An example for #5 is y=-8x+2, and an answer for 6. is y=6x+9. The formula is y=mx+b so the b is the y-int/y and the m is the slope/x. The x is the variable(the one beside the m).

Answer:

14. 20

15. 101

16. 260

Step-by-step explanation:

First of all, refer to the properties of a kite. If we use those, your kite will look like the image below:

Since ΔAED and ΔAEB are right triangles, you can use the Pythagorean Theorem to solve for x:

21² + x² = 29²

441 + x² = 841

x² = 400

√x² = √400

x = 20

Now that you have x, you can use the Pythagorean Theorem to solve for y:

20² + 99² = y²

400 + 9801 = y²

10201 = y²

√10201 = √y²

101 = y

y = 101

Now that you have y, you can find the perimeter of the kite:

P = \(side_{1}\) + \(side_{1}\) + \(side_{2}\) + \(side_{2}\)

P = 2 (\(side_{1}\)) + 2 (\(side_{2}\))

P = 2 (29) + 2( 101)

P = 58 + 202

P = 260

Answer:

B.

Step-by-step explanation:

I chose B because goes through zero. Sorry if it wrong.

Answer: c

Step-by-step explanation:

just say your welcome

Answer:

15 c m.

Step-by-step explanation:

120 divided by 8 =15

Answer:

Closed numbers

Monomial

Step-by-step explanation:

Closed numbers are the only that makes sense

Anything times 0 is 0 thus it is only 3y which makes it a monomial