Worth 10 points

Thank you to whoever does it’s a picture btw

Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Given

The principal of the loan will be $19,450, and Dahlia will make monthly payments.

Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly, and assesses a service charge of $925.00.

Bank Q offers a ten-year loan with an interest rate of 5.5%, compounded monthly, and assesses a service charge of $690.85.

To solve this, we will use the formula for loan payment:

\(\rm P=\dfrac{\frac{x}{n}PV}{1-(1+\dfrac{r}{n})^{-nt}}\)

Where P is the payment; PV is the present debt; r is the interest rate; n is the number of payments per year; t is the time.

Working for bank P:

PV = 19450

r = 5.8 or 0.058

t = 9

n = 12

Putting the values in the formula we get:

\(\rm P=\dfrac{\frac{x}{n}PV}{1-(1+\dfrac{r}{n})^{-nt}}\\\\P=\dfrac{\frac{0.058}{12}\times 19450}{1-(1+\dfrac{0.058}{12})^{-12 \times 9}}\\\\ P=231.59\)

Dahlia's monthly payment is $231.59. So, her total payment for 9 years will be;

\(\rm 231.59\times9\times 12=25011.72\)

A finance charge will be = total future value minus loan amount plus service charge.

= 25011.72 -19450 +925 = $6486.72

Working for bank Q:

PV = 19450

r = 5.5 or 0.055

t = 10

n = 12

Putting the values in the formula we get:

\(\rm P=\dfrac{\frac{x}{n}PV}{1-(1+\dfrac{r}{n})^{-nt}}\\\\P=\dfrac{\frac{0.055}{12}\times 19450}{1-(1+\dfrac{0.055}{12})^{-12 \times 10}}\\\\ P=211.08\)

Dahlia's monthly payment is $231.59. So, her total payment for 10 years will be;

\(\rm 211.08\times 10\times 12=25329.60\)

The finance charge will be = 25329.60  -19450 +690.85 = $6570.45

Therefore,

The difference between both bank's finance charges:

$6486.72-$6570.45 = $83.73

Hence, Loan Q’s finance charge will be $83.73 greater than Loan P’s.

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Answer:

Y=x³ is the parent graph I don't know if that helps.

Answer:

Cubic

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Each arc has the same measure as its central angle. The sum of all of them is 360°.

  angle UOG is marked as a 90° angle, so arc UG is 90°.

  angle GOX is marked as 122°, so arc GX is 122°.

  angle XOU fills out the rest of 360°, so its measure is 360° -90° -122° = 148°. That means are XU is 148°.

The arc measures are ...

The transition matrix T corresponding to a change of basis from [v1, v2, v3] to [e1, e2, e3] can be obtained by expressing each vector in the original basis as a linear combination of the vectors in the new basis. The transition matrix relates the coordinates of a vector with respect to the original basis to its coordinates with respect to the new basis.

To find the transition matrix T corresponding to a change of basis from [v1, v2, v3] to [e1, e2, e3], we need to express each vector in the original basis [v1, v2, v3] as a linear combination of the vectors in the new basis [e1, e2, e3].

Let's assume the vectors in the original basis [v1, v2, v3] can be written as follows:

v1 = a11 * e1 + a21 * e2 + a31 * e3

v2 = a12 * e1 + a22 * e2 + a32 * e3

v3 = a13 * e1 + a23 * e2 + a33 * e3

The transition matrix T will then be:

T = [a11, a12, a13]

[a21, a22, a23]

[a31, a32, a33]

In this matrix, each column represents the coefficients of the corresponding vector in the new basis [e1, e2, e3] when expressed in terms of the original basis [v1, v2, v3].

To find the transition matrix T, you need to know the specific values of the vectors in both the original and new bases.

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To identify which lines intersect the line y = 3, you would need to provide a list of lines to choose from. In general, any line that is not parallel to y = 3 will intersect it. Lines parallel to y = 3 will have equations of the form y = c, where c is a constant value different from 3.

The key to obtaining a random sample is to use a method that gives every resident in the population an equal chance of being selected for the survey.

There are several survey methods that Chris can use to obtain a random sample of 50 residents from the population. Here are a few examples:

1. Simple random sampling: In this method, Chris can assign a unique number to each resident in the population and then use a random number generator to select 50 numbers. The residents corresponding to these numbers would be selected for the survey.

2. Systematic sampling: In this method, Chris can select every nth resident from a list of all residents in the population. For example, if Chris chooses to survey every 10th resident from a list of 500 residents, he would survey a total of 50 residents.

3. Stratified sampling: In this method, Chris can divide the population into different subgroups based on certain characteristics, such as age, gender, income, or education level. He can then randomly select a certain number of residents from each subgroup to ensure that the sample is representative of the population.

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Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial.   when the number of trials is sufficiently large we use normal distribution instead of binomial distribution which leads the condition to use normal approximation to the binomial rather than binomial probability distributions

many experiments consist of repeated independent trials .each trial has two possible complementary outcomes such as the trial may be a head or tail, success and failure right or wrong, etc. know if each probability of outcome remains the same throughout the trial then such trials are called "binomial trials" and experiments are called "a binomial experiment". its probability distribution is called binomial probability distribution denoted by 'P'.

A continuous random variable having a bell-shaped curve is called a normal random variable with mean and variance and distribution thus is called Binomial probability distribution depending on the number of trials n of a binomial experiment and the probability of success p on each trial.  

know when a number of trials are sufficiently large we use normal distribution instead of binomial distribution this is what the normal approximation does.

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Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

The probability that exactly four people get the right letter is 1/120.

Let the people form a line and the envelopes are on the table.

The first person has a 1 in 5 chance of selecting the right letter.  (He selects the correct one)

Now there are 4 on the table so the second person has a 1 in 4 chance of getting the right one (He selects the correct one)

Now there are 3 on the table so the second person has a 1 in 3 chance of getting the right one (He selects the correct one)

Now there are 2 on the table so the second person has a 1 in 2 chance of getting the right one (He selects the correct one)

and so on

so

P(everyone getting the correct letter) = 1/5*1/4*1/3*1/2*1/1=1/5!=1/120.

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Given data:

The given equations are x - 2y = -1 and 2x + 3y = 12.

The given point of intersection is the solution of the equation which is (3, 2).

Thus, the solution of the given equations is (3, 2).

Answer:

option a

sorry if im wrong

Step-by-step explanation:

1

2

3

4

5

6

7 = 7 + 8 = 9 - 10 = 11

The Quadratic equation modeled is  \(3x^{2} -4x+1=(3x-1) (3x-1)\).

Quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is \(y=ax^{2} +bx+c\), where a, b, and c are numbers and a cannot be 0.

the given equation Much easier to understand with the symbol              \(3x^{2} -4x+1=(3x-1) (3x-1)\)

\(3x^{2} -4x+1= 9x^{2} -6x+1\\6x^{2} -2x=0\)

That is how I interpreted the "tile" set up.

Now count up the factors:  

These are (4 -x) and ( x +1) factor of  Quadratic equation.

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a. To find the steady-state response Yss(t) to the given input function f(t) = 6sin(9t) using the transfer function T(S) = Y(S)/F(S) = 8/s(s^2 + 10s + 100), we can use the formula Yss(t) = lim(t→∞) y(t), where y(t) = L^-1 [T(S) F(S)], L^-1 denotes inverse Laplace transform, and F(S) is the Laplace transform of f(t).

First, we need to find the Laplace transform of f(t):
F(S) = L{f(t)} = L{6sin(9t)} = 6L{sin(9t)} = 6(9/S^2 + 81)

Then, we can find Y(S) using Y(S) = T(S) F(S):
Y(S) = 8/s(s^2 + 10s + 100) * 6(9/S^2 + 81)
Y(S) = 432/(s^3 + 10s^2 + 100s)

Next, we need to find the inverse Laplace transform of Y(S) to get y(t):
y(t) = L^-1 [432/(s^3 + 10s^2 + 100s)]
y(t) = 36(cos(5t) - sin(5t)) + 24e^-5t

Finally, we can find Yss(t) by taking the limit as t approaches infinity:
Yss(t) = lim(t→∞) y(t) = 36(cos(5t) - sin(5t))

Therefore, the steady-state response Yss(t) to the input function f(t) = 6sin(9t) using the transfer function T(S) = 8/s(s^2 + 10s + 100) is Yss(t) = 36(cos(5t) - sin(5t)).

b. To find the steady-state response Yss(t) to the given input function f(t) = 92(5+1)' using the transfer function T(S) = Y(S)/F(S) = 10/(S^2 + 5S + 6), we can follow the same steps as in part a.

First, we need to find the Laplace transform of f(t):
F(S) = L{f(t)} = L{9(2(5+1)')} = 18L{(5+1)'} = 18(S/(S+1)^2)

Then, we can find Y(S) using Y(S) = T(S) F(S):
Y(S) = 10/(S^2 + 5S + 6) * 18(S/(S+1)^2)
Y(S) = 180S/(S+1)^2(S+3)

Next, we need to find the inverse Laplace transform of Y(S) to get y(t):
y(t) = L^-1 [180S/(S+1)^2(S+3)]
y(t) = 60(2e^-t - te^-t) + 60e^-3t

Finally, we can find Yss(t) by taking the limit as t approaches infinity:
Yss(t) = lim(t→∞) y(t) = 60e^-3t

Therefore, the steady-state response Yss(t) to the input function f(t) = 92(5+1)' using the transfer function T(S) = 10/(S^2 + 5S + 6) is Yss(t) = 60e^-3t.
Hi, I'll help you find the steady-state response Yss(t) for both given transfer functions and input functions.

a. Transfer function: T(s) = 8 / [s(s^2 + 10s + 100)], Input function: f(t) = 6 sin(9t)

To find the steady-state response, we'll first need to find the Laplace Transform of the input function: F(s) = L{6 sin(9t)} = 6(9) / (s^2 + 9^2) = 54 / (s^2 + 81).

Now, we'll find Y(s) by multiplying T(s) with F(s): Y(s) = T(s) * F(s) = 8 / [s(s^2 + 10s + 100)] * [54 / (s^2 + 81)].

Finally, we'll find the inverse Laplace Transform of Y(s) to get Yss(t): Yss(t) = L^{-1}{Y(s)}.

b. Transfer function: T(s) = 10 / [s^2(5 + s)], Input function: f(t) = 9 sin(2t)

Similarly, we'll find the Laplace Transform of the input function: F(s) = L{9 sin(2t)} = 9(2) / (s^2 + 2^2) = 18 / (s^2 + 4).

Next, we'll find Y(s) by multiplying T(s) with F(s): Y(s) = T(s) * F(s) = 10 / [s^2(5 + s)] * [18 / (s^2 + 4)].

Lastly, we'll find the inverse Laplace Transform of Y(s) to get Yss(t): Yss(t) = L^{-1}{Y(s)}.

Please note that finding the inverse Laplace Transforms for both cases would require further calculations and possibly the use of tables or software.

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Answer:

3rd option

Step-by-step explanation:

=)

Answer:

-6x^3 - x^2 + 2x

Step-by-step explanation:

We can first start with distributing the x using the distributive property

(3x^2 + 2x)(-2x+1) Remember that when x is multiplied with 3x, it increases the exponent to 3x^2)

Now we use FOIL to distribute (First, Outside, Inside, Last)

-6x^3 + 3x^2 - 4x^2 + 2x

We can combine the like terms (3x^2 and - 4x^2) into -x^2

-6x^3 - x^2 + 2x

The mean age of the combined distribution of both men and women in the course is 20.47 years

What is average/mean ?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Mean age of men , M = 20.7 years

Mean age of Women , W = 20.2 years

Percentage of Men = 54%

Percentage of Women = 46%

Recall, :

Mean, μ = np

The mean age of men in the distribution = (20.7 × 54%) = 11.178 years

The mean age of women in the distribution = (20.2 × 46%) = 9.292 years

The mean age of the combined distribution is :

11.178 + 9.292 = 20.47 years

Therefore, the mean age of the combined distribution is 20.47 years

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The probability that no births will occur today is 0.1353 (approximately) found by using the Poisson distribution.

Given that the number of births in a local hospital follows a Poisson distribution and averages λ per day.

To find the probability that no births will occur today, we can use the formula of Poisson distribution.

Poisson distribution is given by

P(X = x) = e-λλx / x!,

where

P(X = x) is the probability of having x successes in a specific interval of time,

λ is the mean number of successes per unit time, e is the Euler’s number, which is approximately equal to 2.71828,

x is the number of successes we want to find, and

x! is the factorial of x (i.e. x! = x × (x - 1) × (x - 2) × ... × 3 × 2 × 1).

Here, the mean number of successes per day (λ) is

λ = 2

So, the probability that no births will occur today is

P(X = 0) = e-λλ0 / 0!

= e-2× 20 / 1

= e-2

= 0.1353 (approximately)

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Answer:

-8/9 and -9/10​ is greater

Step-by-step explanation:

Answer:

greatest is -8 / 9 and - 9 / 10

Step-by-step explanation:

-7/ 12 is greater than -9 / 13

-8 /9 and -9 / 10 are equal because

-8/9 = 0.888 if we round off it's 0.9

and - 9 / 10 is 0.9 so that's why they are equal to each other

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

The distance DE is 338.25m

Similar triangles are triangles that have the same shape, but their sizes may vary. . The ratio of corresponding sides of Similar triangles are equal.

Therefore AB /DE = CB/CE

CE = 80+250

= 330

represent DE by x

82/x = 80/330

330× 82 = 80x

80x = 27060

x = 338.25

Therefore the distance DE is 338.25m

Using cosine rule to find the angle of D

c² = a²+b² +2abcos C

330² = 300²+ 338.25²+2× 300× 338.25cos D

108900 = 90000 + 114413.1 + 202950cosD

202950cos D = 108900-204413.1

202950cos D = -955131

cos D = -955131/202950

cosD = -0.471

D = cos^-1( 0.471)

D = 62° ( nearest degree)

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Answer:

f(x) = -x -4 or f(x) = (-x)-4

Step-by-step explanation:

Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.

Transformations can be found using this general formula: f(x) = a(bx-h)+k

For this question, we want a translation down as well as a reflection.

The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.

Since we are translating down 4 units, k = -4

Since we are reflecting across the y-axis, b = -1

So, f(x)=(-x)-4

or

f(x)= -x -4

Answer: A, {150,250}

Step-by-step explanation:

In 10 hours he can do 5x2 hours work.  or 5x$50 = $250 for 5 rooms

$150 is 3x $50 or 3x2 hours work.

He can work 6 hours and make $150

or he can work 10 hours and make $250

the range he can earn so that he makes at least $150 and no more than 10 hours is$150 to $250

($150,$250) in interval notation for working 6 to 10 hours (6,10)

The car will travel approximately 11.829 if its wheels revolve 10,000 times without slipping.

First, we need to find the circumference of the wheel, which is given by the formula:

circumference = pi x diameter

where pi is approximately equal to 3.14.

So, the circumference of the wheel = 3.14 x 24 = 75.36 inches.

Next, we need to find the distance traveled by the car in one revolution of the wheel, which is equal to the circumference of the wheel.

Distance traveled by the car in one revolution of the wheel = 75.36 inches = 0.0011829 miles (1 inch = 0.000015783 miles).

Therefore, the distance traveled by the car in 10,000 revolutions of the wheel = 0.0011829 x 10,000 = 11.829 miles.

Rounding this answer to two decimal places, we get the final answer as approximately 11.829.

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Answer:

16.

Step-by-step explanation:

7×4= 28

since this is a ratio you so the same to the other side

4×4=16

Answer:

Congratulations on your account being unbanned! Hopefully you don't commit the violation that got it banned in the first place again. Welcome back :D

Step-by-step explanation:

Answer:

good

Step-by-step explanation: