Jefferson went to a restaurant and got a bill fior $126. He wants to tip the waiter 18%.
What is the amount of TIP he will leave?

Please help me and show work step by step! Tysm

The difference in payment from year 2 to year 3 is $16334.546

Given,

Total Amount that has to be paid if total duration for paying money is 20 years = $ 315,000

Rate of interest = 5.85 %(Depreciating rate)

When , time = 2 years

Amount left which is to be paid after  2 years;

Principal × (1 - Rate/100)^time

= 315,000 × (1 - 5.85/100)²

= 315,000 × (1 - 0.0585)²

= 279223.00875

When , time = 3 years

Amount left which is to be paid after  3 years;

Principal × (1 - Rate/100)^time

= 315,000 × (1 - 5.85/100)³

= 315,000 × (1 - 0.0585)³

= 262888.463

Difference in payments from year 2 to year 3 = $279223.00875  - $ 262888.463    =$16334.546

Monthly payment = 16334.546/12 = $1361.21

Learn more about payment here;

https://brainly.com/question/8827629

#SPJ4

( 2 × 2 ) 4 + 12

4 . 4 + 12

16 + 12

28

Answer:

a edge 2021

Step-by-step explanation:

Answer:

\(\frac{7}{4}\) x²

Step-by-step explanation:

Dealing with the numerical part

\(\frac{7}{8}\) ÷ \(\frac{1}{2}\) = \(\frac{7}{8}\) × \(\frac{2}{1}\) = \(\frac{14}{8}\) = \(\frac{7}{4}\)

Using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\) , then

\(\frac{x^{\frac{1}{2} } }{x^{-\frac{3}{2} } }\)

= \(x^{(\frac{1}{2}-(-\frac{3}{2}) }\)

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

= \(x^{\frac{4}{2} }\)

= x²

Then

\(\frac{7}{8}\) \(x^{\frac{1}{2} }\) ÷ \(\frac{1}{2}\) \(x^{-\frac{3}{2} }\)

= \(\frac{7}{4}\) x²

The SDE satisfied by the process f (S 1(t)) is μ1dt + σ1dW(t). The process followed by f(S2(t)) is (μ2/S2(t))dt + (σ2/S2(t))dW(t). The SDE satisfied by Y(t) is (μ1- μ2)dt + (σ1^2 + σ2^2) / 2 dW(t). The stochastic process Y(t) is an Ornstein-Uhlenbeck process. The parameters of this process are as follows: Mean = 0,  Variance = (σ1^2 + σ2^2) / 2,  Reversion rate = μ1 - μ2

a) For f (x) = log x, the SDE satisfied by the process f(S1(t)) is obtained as follows: df(S1(t)) = df(S1(t)) / dS1(t) × dS1(t)

In the given problem, f (S1(t)) = log(S1(t)).

Thus, df(S1(t)) = (1/S1(t)) × dS1(t)

Substituting S1(t) in the given SDEs, we get

dS1(t) = μ1S1(t)dt + σ1S1(t)dW(t)

Substituting the value of dS1(t) in df(S1(t)), we get

df(S1(t)) = (1/S1(t)) × (μ1S1(t)dt + σ1S1(t)dW(t))

Simplifying the above equation, we get

df(S1(t)) = (μ1dt + σ1dW(t))

b) The process followed by f(S2(t)) can be obtained as follows:

f(S2(t)) = log(S2(t))d[f(S2(t))] = d[log(S2(t))]d[f(S2(t))] = (1/S2(t))dS2(t)

Substituting the value of dS2(t) in the above equation, we get

d[f(S2(t))] = (μ2/S2(t))dt + (σ2/S2(t))dW(t).

Thus, the process followed by f(S2(t)) is given by

d[f(S2(t))] = (μ2/S2(t))dt + (σ2/S2(t))dW(t)

c) The SDE satisfied by Y(t) = g(S1(t),S2(t)) = ln(S1(t)/S2(t)) when μ = μ1 = μ2 is obtained as follows:

Given: dS1(t) = μS1(t)dt + σ1S1(t)dW(t)

          dS2(t) = μS2(t)dt + σ2S2(t)dW(t)

Therefore, ln(S1(t)/S2(t)) can be rewritten as ln(S1(t)) - ln(S2(t)).

Substituting the values of dS1(t) and dS2(t), we get

d(ln(S1(t)/S2(t))) = (μ1- μ2)dt + (σ1^2 + σ2^2) / 2 dW(t)

The stochastic process Y(t) is an Ornstein-Uhlenbeck process. The parameters of this process are as follows: Mean = 0,  Variance = (σ1^2 + σ2^2) / 2,  Reversion rate = μ1 - μ2

To know more about stochastic process, click here:

https://brainly.com/question/30407952

#SPJ11

The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

Learn more about function here:

https://brainly.com/question/11624077

#SPJ11

In all cases, take into account that the sum of the interior angles of a triangle is equal to 180°. Then, for the first triangle you have:

2x + 2x + x = 180 simplify like terms left side

5x = 180 divide by 5 both sides

x = 180/5

x = 36

For the second triangle:

7x + 3x + 90 = 180 subtract 90 both sides

7x + 3x = 180 - 90 simplify like terms both sides

10x = 90 divide by 10 both sides

x = 90/10

x = 9

For the third triangle:

x + x + 2x = 180 simplify like terms left side

4x = 180 divide by 4 both sides

x = 180/4

x = 45

Answer:

m=-5/4

Step-by-step explanation:

the variable from of that equation is y=mx+b where m stands for slope, so in y=-5/4x+19 m=-5/4

The Maple tree.

The Sycamore is 15 and 2/3 feet tall, which is 15.667 feet.

The Oak is 14 and 3/4 feet tall, which is 14.75 feet.

The Maple is 15 and 3/4 feet tall, which is 15.75 feet.

The Birch is given as 15.72 feet.

Out of these, the tallest is the Maple, which is at 15.75 feet.

The least-squares linear correlation coefficient for the given dataset can be determined using the Desmos graphing calculator. The options provided are: r=0.74, r=0.938, r=0.968, and r=0.811.

To find the least-squares linear correlation coefficient, we need to calculate the Pearson correlation coefficient (r). This coefficient measures the strength and direction of the linear relationship between two variables. In this case, the dataset consists of pairs of values (x, y).

Using the Desmos graphing calculator, we can input the dataset and generate a scatter plot. Then, by selecting the option to display the line of best fit or the regression line, we can obtain the equation of the line and the value of r, the least-squares linear correlation coefficient.

Based on the options provided, we need to calculate the value of r using the Desmos graphing calculator and compare it to the given options. After performing the calculations, the correct answer is the option that matches the calculated value of r.

Therefore, the option that corresponds to the least-squares linear correlation coefficient calculated using the Desmos graphing calculator for the given dataset should be selected as the answer.

To learn more about Desmos graphing calculator visit:

brainly.com/question/30403642

#SPJ11

Answer:

v > - 78

Step-by-step explanation:

Version 1.

   v

-----------  < 92

-6 + 79

    v

------------  <  92

    73

    v

------------  <  92(73)

    73(73)

v < 6716

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

Version 2

    v

------------ + 79 <  92

    -6       -79      -79

        v

(-) ------------  <  13(6)

        6(6)

-v < 78

÷-1   ÷-1

v > -78

I hope this helps!

Answer:

301.59

or

96 π

Step-by-step explanation:

on khan acad. if you click on the box, you can click on the pi icon to do it in terms of pi.

I always do in terms, but make sure to learn the other way :)

the formula for cone volume is π r^2  h/3

radius = 6

height = 8

π 6^2  8/3

π 36  8/3

π 36 x 8  /3

π 288 / 3

π 96

The correct answer is 'Maura earns $12 per hour for babysitting her 3 nieces'

Here, we want to select which of the options show a multiplicative relationship.

The correct answer is G

Maura earns $12 per hour for babysitting her 3 nieces

Why this shows a multiplicative relationship is that given the number of hours which she babysat, we can find the amount she earned

Hence there is a multiplicative relationship between the amount of money she earns and the number of hours for which she has worked

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

To know more about distribution visit:

https://brainly.com/question/29664127

#SPJ11

Given

Procedure

Now for y

The answer would be x = 2.75 and y = 1.25

Answer:

3

Step-by-step explanation:

Answer:

3. around 45-50 apples

Step-by-step explanation:

The month has 4 weeks so you just have to multiply 12 times 4 and that gives you 48.

hope it helps!

Answer:

2x=50   x=25

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

6x - 20 = 4x + 30 (Since, lines are parallel and They are Corresponding angles)

=> 6x - 4x = 30 + 20

=> 2x = 50

=> x = 25

The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).

What is machine learning?

The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.

The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.

To learn more about machine learning.........

https://brainly.com/question/25523571

#SPJ4

Answer:

z = 100°

x = 40°

Step-by-step explanation:

Triangle CBD is isosceles so there are two 50°

DBC = 50°

That means BDC = 80° because 180(sum of angles in triangle) - 50 - 50 = 80

Z = 100° bc angle of straight line is 180° and 180 - 80 = 100

Now triangle ADB is also isosceles because there are two sides of equal length

So there will be 2*x + 100 = 180

x = 40°

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

To know more about ratio visit:

https://brainly.com/question/13419413

#SPJ11

Answer:-22/3

Step-by-step explanation:

its negative because it represents an irrational number

Answer: -22/3

Why: It's irrational since it's negative

Answer:

$2,407.5

Step-by-step explanation:

To solve this question, we will use the formula for calculating the amount formula as shown;

A =P(1+r)^n

Given that;

P = #$1300

r = 4.5% = 0.045

t = 14years

Substitute

A = 1300(1+0.045)^14

A = 1300(1.045)^14

A = 1300(1.8519)

A = 2,407.5

Hence Isabella would have $2,407.5 in her account after 14years

The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

To know more about disk method visit:

https://brainly.com/question/28184352

#SPJ11

Therefore, the first term is 3.01, the common ratio is 10, and the explicit rule for the nth term is: aₙ = 3.01 * 10ⁿ⁻¹.

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a constant called the common ratio.

Let the first term be "a" and the common ratio be "r".

Then, we have:

4th term = ar³ = 3010

7th term = ar⁶ = 3010000

Dividing the second equation by the first, we get:

(ar⁶) / (ar³) = 3010000/3010

r³ = 1000

r = 10

Substituting this value of "r" in the first equation, we get:

ar³ = 3010

a(10³) = 3010

a = 3.01

To know more about ratio,

https://brainly.com/question/13008517

#SPJ11

The value of c that makes the equation true is c = 64, when x = 6 and y = 3.

To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.

First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:

x√x/cy^4 = x/4y(y√y)

Next, we can simplify x/4y to 1/(4√y), giving us:

x√x/cy^4 = 1/(4√y)(y√y)

We can cancel out the common factor of √y on both sides:

x√x/cy^4 = 1/(4)

Multiplying both sides by 4cy^4 gives us:

4x√x = cy^4

Now we can solve for c by isolating it on one side of the equation:

c = 4x√x/y^4

We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:

c = 4x√x/y^4 = 4(x^(3/2))/y^4

c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3

c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3

c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3

c = 4(216)/81 = 64 for x = 6 and y = 3

To know more about exponent rules,  refer here :

https://brainly.com/question/29390053#

#SPJ11

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

For more questions on expected value

https://brainly.com/question/14723169

#SPJ8

The cost of one highlighter if each highlighter cost the same amount is $2.25.

Let the price of one binder be x

The price of the one highlights be y

Dakota bought total of 2 binders and 3 highlights for $16.95

Therefore, we can say that

2x + 3y = 16.95

but we have the value of 1 binder and that is $4.95 so,

x = 4.95 , putting value in the above equation we get

2(4.95) + 3y = 16.95

9.9 + 3y = 16.95

3y = 16.95 - 9.9

3y = 7.05

y = 7.05/3

y = 2.35

Therefore, the cost of one highlighter is $2.35.

The cost price is the sum of money used to produce goods or services before any profit is added for the manufacturer or provider. Other names for it include latest cost, average cost, and actual cost.

Learn more about Cost price:

https://brainly.com/question/27941836

#SPJ4