Please help quick
due in 20 mins

Logan Chivery owns her own car. Her June monthly interest was $300. The rate is 8.5 percent. Logan's principal balance at the beginning of June is: (Use 360 days-do not round the denominator.)

A. $42,353.14

B. $42,335.14

C. $2,335.14

Answer: A. $42,353.14

Step-by-step explanation:

When taking a loan, we have to pay interest. The Simple Interest Formula is:

Simple Interest (I) = Principal (P) × Interest Rate (r)

Principal (P) is the borrowed amount.

Interest Rate (r) is the percent of the principal to be paid.

Time (t) is the length of time that money is borrowed.

If Logan Chivery has the monthly interest of $300  at a rate of 8.5% per year, first, we have to convert the year rate to the month of June rate.

30 days = 8.5÷360÷30 = 0.7083333333 interest rate

Then, find the Principal by using the formula

Simple Interest (I) = Principal (P) × Interest Rate (r)

4,2352.94×0.7083333333÷100=299.99

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

To learn more about Stock split, visit:

https://brainly.com/question/29754813

#SPJ11

Answer:

Step-by-step explanation:

the second blank is wrongt

Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

To know more about Euler's Method visit:

https://brainly.com/question/32691755

#SPJ11

FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."

FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.

However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.

PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.

You can learn more about hardware at: brainly.com/question/32810334

#SPJ11

a) The modal class of time spent exercising is given as follows: 40 < x ≤ 50

b) The median lies on the class 30 < x ≤ 40.

The mode of a data-set is the observation that appears the most times in the data-set, hence, for item a, we consider that the mode lies in the class 40 < x ≤ 50, which has the highest number of observations, which is 21.

The total number of elements in the data-set is given as follows:

18 + 14 + 3 + 16 + 21 + 7 = 79.

Hence the median is the element at the cumulative position given as follows:

(79 + 1)/2 = 40.

Which is on the following class:

30 < x ≤ 40.

More can be learned about median and mode at https://brainly.com/question/14532771

#SPJ1

Answer:

hello!

where are you from ?

Step-by-step explanation:

option 4 is correct ...there is no constant ratio.

Answer: Using the similar triangles property, we can set up the following equation:

h/20 = (h+70)/28

Solving for h, we get:

h = 280/9

h is approximately equal to 31.1 cm.

Step-by-step explanation:

a) 50+b=180 (supplementary angles)

b=180-50

b=130

b) b= 43° { vertically opposite angle}

The value of x is 3  and the sides of given rectangle are 3,3,9,9.

What is Area of rectangle ?

area of rectangle can be defined as product of length and breadth.

From the given figure ,

it is given that ,

perimeter of rectangle = 24 cm

and the sides are ,

x,x,x+6,x+6

so we know that perimeter of rectangle = 2 (l+b)

that is,

24 = x+x+x+6+x+6

24 = 4x + 12

4x = 12

x = 3

Therefore, The value of x is 3  and the sides of given rectangle are 3,3,9,9.

To learn more about Rectangle from given link.

https://brainly.com/question/20693059

#SPJ1

Answers for a) $53.2, b) z = 10x+0.07y and c) y =300

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a car rental company charges $7 a day and 9 a mile to rent one of its cars, then the cost z, in dollars, to rent a car for 2 days and drive y miles can be found from the equation

z = 7x + 0.09y

a) x = 4, y = 280

z = 7*4 + 280*0.09

z = 53.2

Therefore, the cost to rent a car for 4 days and drive it for 280 miles is $53.2

b) The equation that gives the cost z

z = 10x+0.07y

c) When the costs are equal, then,

10*2+0.07y = 7*2+0.09y

20+0.07y = 14+0.09y

0.02y = 6

y = 300

Therefore, the cost of renting the cars from each of the two companies will be equal when y = 300 miles.

Hence, Answers for a) $53.2, b) z = 10x+0.07y and c) y =300

For more references on equations, click;

https://brainly.com/question/10413253

#SPJ1

We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

To construct a symbolic model of the argument, let's define the following symbols:

P: Jayco qualifies as a small business.

Q: Jayco has sales that are not large enough to influence its environment.

R: Jayco is privately owned by a small group of individuals.

Now we can represent the statements in symbolic form:

Premise 1: P ≡ (Q • R)

Premise 2: ~P

Conclusion: ~R

To determine if the argument is valid or invalid, we can construct a truth table:

| P | Q | R | P ≡ (Q • R) | ~P | ~R |

|---|---|---|-------------|----|----|

| T | T | T |      T      |  F |  F |

| T | T | F |      F      |  F |  T |

| T | F | T |      T      |  F |  F |

| T | F | F |      F      |  F |  T |

| F | T | T |      F      |  T |  F |

| F | T | F |      T      |  T |  T |

| F | F | T |      F      |  T |  F |

| F | F | F |      T      |  T |  T |

From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

Learn more about argument from

https://brainly.com/question/29980980

#SPJ11

differentiable function of x. x^2y + √xy = 4; dy/dx = -(2xy + (1/2)√y) / (x^2 + (1/2)x√y)

To use implicit differentiation with partial derivatives to find dy/dx, we need to take the partial derivative of both sides of the equation with respect to x. We can write the equation as:

f(x, y) = x²y + √xy - 4 = 0

Taking the partial derivative of f with respect to x, we get:

∂f/∂x = 2xy + (1/2)√y + (∂y/∂x)x² + (∂y/∂x)(1/2)x√y

To find dy/dx, we need to solve for (∂y/∂x). We can rearrange the above equation as:

(∂y/∂x)(x² + (1/2)x√y) = -2xy - (1/2)√y

Dividing both sides by (x² + (1/2)x√y), we get:

∂y/∂x = -(2xy + (1/2)√y) / (x² + (1/2)x√y)

Therefore, dy/dx = -(2xy + (1/2)√y) / (x^2 + (1/2)x√y), which is a function of x and y.

To learn more about derivative click here

brainly.com/question/25324584

#SPJ11

Answer:

(a) discriminant is positive, 76

(b) the above tells you there are two real roots

Step-by-step explanation:

the discriminant is 'b² - 4ac'

3x² - 2x - 6 = 0  ∴ a = 3, b = -2, c = -6

(-2)² - 4(3)(-6) = 4 + 72

(a) The discriminant of the quadratic equation is positive, 76.

(b) The quadratic equation tells you there are two real roots.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.

Given that the quadratic equation 3x²-6=2x.

The discriminant Of the quadratic equation is calculated by the formula below:-

D = b² - 4ac

3x² - 2x - 6 = 0  ∴

a = 3, b = -2, c = -6

Put the value of the coefficient to get the value of the discriminant.

D = (-2)² - 4(3)(-6) = 4 + 72 = 76

Therefore, the discriminant of the quadratic equation is positive, 76, and the quadratic equation tells you there are two real roots

To know more about a quadratic equation follow

https://brainly.com/question/1214333

#SPJ2

The equation to find C = no. of max day × rent of one day

The cost of renting table saw for max day = 160$

How to find rent for max days :

Henry paid 32$ for two days ,

so for 1 day = 32/2 = 16$

$16 is rent of table for one day.

The maximum length of time a customer can rent the saw is 10 days.

so, need to find rent for 10 days,

Cost of renting the table saw for 10 day = 10 × 16$

                                                                  = 160$

How to calculate percentage :

To learn more about Calculating rent refer :

https://brainly.com/question/24896356

#SPJ9

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To know more about confidence interval refer here:

https://brainly.com/question/32278466#

#SPJ11

Answer:

$17.96

Step-by-step explanation:

4.49 for 5

5 times 4 = 20

4.49 times 4 = 17.96

Answer:

$2539.47

10.18722679 (make sure you round this)

Step-by-step explanation:

a.)

Equation for compound interest:

\(AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\\)

which rounds to

2539.47

b.)

using the same equation we can write

\(3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t\)

not sure how to round this, so I'll leave that part up to you

Answer:

E. 2,850 ft²

Step-by-step explanation:

Answer:

OptionE)

Step-by-step explanation:

Area of a circle = \(\pi r^{2}\)

\(3.14X30X30\)

= \(2826\)

Hence the closest is 2,850

The ratio of nonwinners in group A to nonwinners in group B after the selections are made is 156 : 319.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

Nonwinners in group A = (1 - 3/5) x 390 = 156

Winners in group B = (390 - 156) = 234

nonwinners in group B = 553 - 234 = 319

The ratio = 156 : 319

To learn more about ratios, please check: https://brainly.com/question/25927869

#SPJ1

Answer:

-2(-6+3y-1) = -6y+14

Step-by-step explanation:

correct:

49 is a perfect square; 27 is a perfect cube; 14 isnt a perfect sqaure, nor a perfect cube;

false:

9 is not a perfect cube; 100 is a perfect cube, but not a perfect square.

can i have brainliest?-

If you draw all the diagonals of a normal hexagon, there are 3*6=18 possible triangles; however, three of those are identical (the equilateral triangles), leaving us with 18-3=15 triangle possibilities.

In terms of geometry, a hexagon is a closed, six-sided polygon in two dimensions. A hexagon has six angles and six vertices. Hexa and gonio both denote the number six. A hexagon can be found in the shapes of a honeycomb, a football, a pencil face, and floor tiles. a standard hexagonal 2D geometric polygon with six equal-length sides and six equal-sized angles. All of the lines are closed, and there are no curving edges. A regular hexagon has 720 degrees of internal angles. Additionally, these shapes have six rotating and six reflective symmetries.

To know more about hexagon here

https://brainly.com/question/15424654

#SPJ4

Answer:

guessing 8

Step-by-step explanation

27-3= 24

24/3=8

Answer:

for ponits

Step-by-step explanation:

Answer:

The maximum height it reaches is 20 meters

The time taken by it to reach the height is 2 seconds

Step-by-step explanation:

The formula of the height of the stone is h = u t - \(\frac{1}{2}\) g t², where

∵ A stone is thrown vertically upwards with an initial velocity of 20 m/s

∴ u = 20 m/s

∵ g = 10 m/s²

→ Substitute them in the equation above

∴ h(t) = 20t - \(\frac{1}{2}\) (10) t²

∴ h(t) = 20t - 5t²

→ Arrange the terms of the right side according to the greatest power of t

∴ h(t) = -5t² + 20t

To find the maximum height and the time of it find the vertex of the quadratic function (m, k), where m = \(\frac{-b}{2a}\) and k is the value of h at t = m, a is the coefficient of t² and b is the coefficient of t

∵ The coefficient of t² is -5

∴ a = -5

∵ The coefficient of t is 20

∴ b = 20

→ Use them to find h

∵ m = \(\frac{-20}{2(-5)}\) = \(\frac{-20}{-10}\) = h

∴ m = 2

→ Substitute it in the equation above to find k

∵ h(m) = k

∵ k = -5(2)² + 20(2)

∴ k = -5(4) + 40

∴ k = -20 + 40

∴ k = 20

∴ The coordinate of the vertex of the function are (2, 20)

→ m represents the time of the maximum height and k represents

  the maximum height

∴ The maximum height it reaches is 20 meters

∴ The time taken by it to reach the height is 2 seconds

Answer:

Step-by-step explanation:

-6/7(-7)+11

Is it 19.1 ???

For the message M=(189,632,900,722,349) and n=989, the hash function gives h(M)=824 (based on the sum) and h(M)=842 (based on the sum of squares).

To calculate the hash function for the given message M=(189,632,900,722,349) using the formula h(M)=(Σ i=1 to t a i )mod n, we first find the sum of the integers in M, which is 189 + 632 + 900 + 722 + 349 = 2792. Then we take this sum modulo n, where n=989. Therefore, h(M) = 2792 mod 989 = 824.

For the second part of the hash function, h(M)=(Σ i=1 to t a i 2)mod n, we square each element in M and find their sum: (189^2 + 632^2 + 900^2 + 722^2 + 349^2) = 1067162001. Taking this sum modulo n=989, we get h(M) = 1067162001 mod 989 = 842.So, for the given message M=(189,632,900,722,349) and n=989, the hash function h(M) is 824 (based on the sum) and 842 (based on the sum of squares).



Therefore, For the message M=(189,632,900,722,349) and n=989, the hash function gives h(M)=824 (based on the sum) and h(M)=842 (based on the sum of squares).

To learn more about integers click here

brainly.com/question/18365251

#SPJ11