You buy a used car for $10,000. The value of the car decreases by22% each year. Approximately how much is the car worth in 3 years?

Answer:

5

Step-by-step explanation:

The rocket is above 40 meters for 13 - 3 = 10 seconds.

Launch height: The rocket is launched at t=0. So, if we substitute t=0 into the equation, we can find the initial height:

h = - (0 - 8)^2 + 65 = -64 + 65 = 1 meter.

Time above 40 meters: To find the time interval when the rocket is above 40 meters, we set h = 40 and solve for t:

40 = - (t - 8)^2 + 65

Simplify to: (t - 8)^2 = 65 - 40 = 25

Take the square root: t - 8 = ±5

Solve for t: t = 8 ± 5

So, the rocket is above 40 meters between t = 8 - 5 = 3 seconds and t = 8 + 5 = 13 seconds.

So, the rocket is above 40 meters for 13 - 3 = 10 seconds.

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Answer:

D) 133 degrees.

Step-by-step explanation:

attached as image.

The accompanying game is a 2x2 matrix in which two firms, Firm 1 and Firm 2, have to make independent decisions on whether to charge a high or low price.

The accompanying game's payoff matrix is as follows:

Firm One/Firm Two

|High Price| Low Price

|High Price| (10,10)| (-50,50)|Low Price| (50,-50)| (0,0)

|The strategy Firm 1 should choose is a high price.

When Firm 2 charges a high price, choosing a high price would give Firm 1 a payoff of 10. If Firm 2 chooses to charge a low price, selecting a high price would result in a payoff of 50 for Firm 1.

Regardless of whether Firm 2 chooses to charge a high or low price, selecting a high price is the optimal decision. Similarly, Firm 2 should select a high price.

When Firm 1 charges a high price, choosing a high price would give Firm 2 a payoff of 10. If Firm 1 chooses to charge a low price, selecting a high price would result in a payoff of 50 for Firm 2.

Regardless of whether Firm 1 chooses to charge a high or low price, choosing a high price is the optimal decision.

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Both the firms that is firm 1 and firm 2 have to chose high prices .

The accompanying game is a 2x2 matrix in which two firms, Firm 1 and Firm 2, have to make independent decisions on whether to charge a high or low price.

The accompanying game's payoff matrix is as follows:

Firm One/Firm Two

|High Price| Low Price

|High Price| (10,10)| (-50,50)|Low Price| (50,-50)| (0,0)

|The strategy Firm 1 should choose is a high price.

When Firm 2 charges a high price, choosing a high price would give Firm 1 a payoff of 10. If Firm 2 chooses to charge a low price, selecting a high price would result in a payoff of 50 for Firm 1.

Regardless of whether Firm 2 chooses to charge a high or low price, selecting a high price is the optimal decision. Similarly, Firm 2 should select a high price.

When Firm 1 charges a high price, choosing a high price would give Firm 2 a payoff of 10. If Firm 1 chooses to charge a low price, selecting a high price would result in a payoff of 50 for Firm 2.

Regardless of whether Firm 1 chooses to charge a high or low price, choosing a high price is the optimal decision.

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The 19th percentile of x bar is 71.724.

Since the sample size is greater than 30 and the population standard deviation is known, we can use the normal distribution to find the 19th percentile of x bar.

First, we need to find the standard error of the mean (SEM):

SEM = σ/√n = 8/√50 = 1.1314

Next, we need to find the z-score associated with the 19th percentile. We can use a standard normal distribution table or a calculator to find this value, which is approximately -0.877.

Finally, we can use the formula for a confidence interval to find the value of x bar associated with the 19th percentile:

x bar = μ + z*SEM = 73 + (-0.877)*1.1314 = 71.724

Therefore, the 19th percentile of x bar is approximately 71.724.

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Answer:

2p + 5  ≥ 3p - 10

Step-by-step explanation:

Answer: 2p+5 ≥ 3p-10

K = 10^(2.5186) = 330.93

The given sequence is not an arithmetic or geometric sequence since there is no common difference or ratio between the terms. However, we can observe that the sequence alternates between positive and negative values and that the absolute value of the terms is increasing as we move through the sequence.

We can express this pattern using an exponential function of the form a(n) = (-1)^(n+1)*b, where b is the absolute value of the first term. Substituting the values from the sequence, we get:

a(1) = (-1)^(1+1)*18 = 18

a(2) = (-1)^(2+1)*12 = -12

a(3) = (-1)^(3+1)*8 = 8

Therefore, the formula for the nth term of the given sequence is:

a(n) = (-1)^(n+1)*18*(3/2)^(n-1)

To find the value of K, we need to solve the equation 2.5186 = log(K) for K. Taking the antilogarithm of both sides, we get:

K = 10^(2.5186) = 330.93

Rounding this to the nearest integer, we get:

K ≈ 331.

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The measure of the angle that is complementary to angle B is 30°.

Complementary angles are a pair of angles whose measures add up to 90°(Right angle)

To find the measure of the angle that is complementary to angle B, we need to subtract the measure of angle B from 90 degrees.

Given measure of angle B is 60°

60°+x° = 90°

(Let x° be the complementary angle to ∠B)

x° = 90°-60°

x° = 30°

∴ The measure of the angle that is complementary to angle B is 30°.

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 (-1/24)(x^4 + 4)^(-6) + (1/7)(x^4 + 4)^(-7) + C is the integration of the above mentioned integrals.

To evaluate the indefinite integral ∫x^2/(x^4 + 4)^8 dx, we can use the substitution method.

Let's perform the following substitution:

u = x^4 + 4
du/dx = 4x^3

Now, solve for x^3 dx:

x^3 dx = (1/4) du

Now, we can rewrite the integral in terms of u:

∫x^2/(x^4 + 4)^8 dx = ∫(x^2/u^8)((1/4) du)

We need to rewrite x^2 in terms of u:

x^2 = u - 4

Substitute this expression for x^2 back into the integral:

(1/4) ∫(u - 4)/u^8 du

Now, split the integral into two parts:

(1/4) [∫u/u^8 du - ∫4/u^8 du]

Simplify the integrals:

(1/4) [∫u^(-7) du - ∫4u^(-8) du]

Now, integrate each term with respect to u:

(1/4) [(u^(-6)/(-6)) - (4u^(-7)/(-7)) + C]

Simplify the expression:

(-1/24)u^(-6) + (1/7)u^(-7) + C

Now, substitute x^4 + 4 back for u:

answer: (-1/24)(x^4 + 4)^(-6) + (1/7)(x^4 + 4)^(-7) + C

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The greatest weight the ant can carry is 44 pounds, expressed in standard form as 4.4 x 10^1 pounds.

The ant can carry objects up to 5,000 times greater than its own body weight. Given that the ant weighs 8.8 x 10^(-6) pounds, we can calculate the maximum weight it can carry by multiplying its own weight by 5,000.

This gives us (8.8 x 10^(-6)) x 5,000 = 44 x 10^(-6) pounds. Simplifying this in standard form, we express it as 4.4 x 10^(1) pounds or simply 44 pounds. Therefore, the ant can carry a maximum weight of 44 pounds.

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The coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).Given that the glide reflection determined by the slide arrow OẢ, where O is the origin and A(0,2), and the line of reflection is the y-axis.

The maxima and minima of a function are its maximum and minimum points within or across a certain range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the greatest or least of anything (multi-extremum). Local maxima (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.

Now, we need to find the image of any point (x, y) under this glide reflection in terms of x and y.

a) Image of any point (x, y) under this glide reflection is given by,(x, y) → (x′, y′)= reflection(y-axis) [ translation(OA) (reflection(y-axis))]

Now, reflecting the point (x, y) on y-axis, we get(-x, y).

Now, translating the point (-x, y) by the distance vector OA, we get(x - 0, y - 2) = (x, y - 2)

Therefore, the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)

b) Given that (3, 5) is the image of a point P under the glide reflection. We need to find the coordinates of P.

Now, we know that the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)So, (x, y - 2) → (3, 5)On comparing the x-coordinates, we getx = 3On comparing the y-coordinates, we gety - 2 = 5⟹ y = 7

Therefore, the coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).

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Answer:

slope = 7/6

Step-by-step explanation:

Step 1: Apply slope formula for two points.

Step 2: Simplify.

Therefore, the slope is 7/6.

Answer:

y = -x - 2

Step-by-step explanation:

Simplifying the equation of our line;

y - 1 = (x + 2)

y = x + 3

The slope of our line is 1

The slope of the perpendicular line(s) must be -1 (the product of slopes of two perpendicular lines = -1)

The line whose slope is -1 (from the choices) is the one whose equation is:

y = -x - 2

Answer:

The coordinates of J are missing.  Plus, I don't see options for the conclusions.  I made an imaginary point J, which you could correct to form the proper triangle.

Step-by-step explanation:

See the attachment.  Plot all the vertices, including a corrected point J and draw the resulting triangle.  It might be that AJKL is a slightly smaller, shifted version of AGHI.  Enter the correct coordinates and then compare.

Answer:

Domain and range » Tips for entering queries. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for the domain and range. domain of log(x) (x^2+1)/(x^2-1) domain; find the domain of 1/(e^(1/x)-1) function domain: square root of cos(x)

Step-by-step explanation:

Answer:

Liam has $12.

Step-by-step explanation:

Since Drew has $18 and that is $6 more than Liam's amount of money, you would subtract 6 from 18.

18-6=12

Hence, Liam has $12.

Please let me know if this helped! If it did, please mark brainliest! If you have any more questions, please let me know! Have a splendid day!!! <3

Answer:

k=1/4

Step-by-step explanation:

x² - 5kx+ k=0  ....(1)

suppose 2 roots: a and 4a

(x-a)(x-4a)=0

x² - 5ax + 4a² = 0 ....(2)

compare (1) and (2): -5a = -5k              a=k

4a² = k                4a² = a   (substitute)

a(4a-1) = 0

a = 0 or a = 1/4        (if a=0   k=0 and x=0 is not the solution)

a = 1/4      k = 1/4

(a₂ = 1/4 * 4 = 1)

Answer:

k = 1/4.

Step-by-step explanation:

Let the roots be  r and 4r   and using the fact that sum of the roots = -b/a and product = a/c, we have:

r + 4r = -(-5k)

r*4r = k

5r = 5k

4r^2 = k

From the 3rd equation:

r = k, therefore:

4k^2 = k

4k = 1

k = 1/4.

Answer:

<1 = <9 = <4 = <12 = 75

<2 = <3 = <10 = <11 = 105

<5 = <8 = <13 = <16 = 85

<6 = <7 = <14 = <15 = 95

The scenario described in which a name is drawn from a hat and then discarded before drawing the next name represents dependent events.

In this scenario, the probability of your name being drawn next depends on the outcome of the previous event, which is the drawing of the first name. Since the first name drawn is thrown away, it reduces the pool of names from which the second name can be drawn. As a result, the probability of your name being drawn next changes based on the outcome of the first event.

Dependent events occur when the outcome of one event affects the probability of the next event. In this case, the drawing of the first name affects the probability of your name being drawn next because the pool of names is altered. This is different from independent events where the outcome of one event has no impact on the probability of the next event.

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The experimental probability that the next shirt sold will be purple is \(2/5\).

The experimental probability means ratio of the number of times the event occurs to the total number of trials or observations.

In this case, the event is the sale of a purple shirt and the trials are the total number of shirts sold.

So, total number of shirts sold is:

= 6 purple shirts + 9 other color shirts

= 15 shirts

The number of purple shirts sold is 6.

The experimental probability of selling a purple shirt on the next sale will be:

= Number of purple shirts sold / Total number of shirts sold

= 6 / 15

= 2 / 5.

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Answer:

y=-2x-4, since -4 is the y intercept.

Answer:

Tommy would have to pull at least 40.0000000..... something to beat Artie but the closest whole number is 41 becouse it has to be over 200

Step-by-step explanation:

200 /= 60 + 20 +25 + 55 + x

200/= 160 + x - 160 both sides

40 = x

Answer:

I dont know the answer but maybe this page can help, it even gives you the explanation or the steps.

Explanation:

symbolab.com

The answer is (-5,3), since both Point F and Line D are 5 units away from point (-5,3).

The number of hours that the team trains per week is 17 hours.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:

( 1 1/4 + 1/2 + 2 1/2) × 4

= 4.25 × 4

= 17 hours.

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Answer:

Hello,

Answer A

Step-by-step explanation:

\(a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A\)

Option A is correct -

\(f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.\)

We have a sequence : –3, 9, –27, 81, . . . .

We have to find the recursive formula for this sequence.

The formula to find the recursive of geometric sequence is -

\(a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2\)

We have the following sequence -

–3, 9, –27, 81, . . . .

First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -

\(\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r\)

Hence, it is a geometric sequence with r = -3.

Substituting the value of r in the formula of recursive, we get -

\(a_{n} = -3a_{n-1}\)    and      \(a(1)=-3\)

Hence, Option A is correct.

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By answering the presented question, we may conclude that As a result, equation the final score is 3/5.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

1/5 times 3 Equals (1/5) * 3

To answer this expression, we may apply the multiplication rule of fractions, which states that to multiple two fractions, multiply their numerators first and then their denominators. Therefore:

(1/5) * 3 = (1 * 3) / (5 * 1)

We obtain by simplifying the numerator and denominator:

3/5

As a result, the final score is 3/5.

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Answer:

Im late but i was doing the assignment and got A

Step-by-step explanation:

Option A is correct, ∠JXM  and  ∠NXP  are complementary is the true statement.

An angle is formed when two straight lines or rays meet at a common endpoint.

There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN

It is shown that ∠MXN is a right angle i.e. 90°.

Then, sum of angle on this line is 180°.

∠JXM + ∠NXP + ∠MXN = 180°

∠JXM + ∠NXP + 90° = 180°

∠JXM + ∠NXP = 180° — 90°

∠JXM + ∠NXP = 90°

From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).

Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary

Hence,  ∠JXM  and  ∠NXP  are complementary is the true statement.

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