the variable y is directly proportional to x. if y equals -0.6 when x equals 0.24, find x when y equals -31.5.

Answer:

85

Step-by-step explanation:

4 - (7 x 4 x -3) + -3

4 - (28 x -3) -3

4 - (-84) -3

88 - 3

85

The result follows from the fundamental theorem of calculus.

\(\displaystyle \int_a^b f(x) \, dx = F(b) - F(a) = 2022 - 10 = \boxed{2012}\)

The total price of the vehicle would be $18,192.88.

The total deferred price of the car would be $11,191.60.

The length of the financing agreement is 68 months .

The total deferred price after the payments was $19,601.84.

The monthly payments would be $516.92.

Subtotal = Base price + Options + Destination charges

Subtotal = $14,500 + $982 + $592 = $16,074

Dealer preparation = 5% of subtotal

Dealer preparation = 0.05 x $16,074 = $803.70

Sales tax = 7% of subtotal

Sales tax = 0.07 x $16,074 = $1,125.18

Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee

Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88

Tax = 8% of selling price = 0.08 x $8,850 = $708

Tag fee = $130

Title fee = $35

Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223

Annual interest rate = 9.5%

Number of years financed = 3

Total finance charges = $8,223 x 0.095 x 3 = $2,341.595

Total financed amount = $8,223 + $2,341.595 = $10,564.595

Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615

Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595

Total deferred price = $28,000

Down payment = $2,100

Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900

Monthly payments = $380

Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16

The financing agreement is approximately 68 months long.

Sticker price = $19,200

Discount = 6% of sticker price = 0.06 x $19,200 = $1,152

Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048

Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84

Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84

Using the formula for monthly payments on a loan:

P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)

= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92

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The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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The amount to be repaid by Jim Ryan is $14,891.78.

Given that, Principal (P) =$14,000, the rate of interest (R) =7\(\frac{1}{2}\)% and T=310 days.

Ordinary interest is calculated on the basis of a 360-day year or a 30-day month; exact interest is calculated on a 365-day year.

Now, the interest=14,000×7.5 %×\(\frac{310}{365}\).

=$891.78

The amount to be repaid=14,000+891.78=$14,891.78

Therefore, the amount to be repaid by Jim Ryan is $14,891.78.

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To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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There are 20 possible routes that a man could take to go between cities and then take a different route back.

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

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The graph of the given exponential function is as shown in the attached file.

An exponential function is defined as a function with the general form:

y = a(b)^x

where:

a ≠ 0

b is a positive real number and b ≠ 1.

In an exponential function, the base b is a constant. The exponent x is the independent variable where the domain is the set of real numbers.

The given exponential function is:

f(x) = 1(¹/₅)ˣ

The vertical intercept will be the point where x = 0. Thus:

f(0) = 1(¹/₅)⁰

f(0) = 1

Using this value and others, we have the graph as shown in the attached file.

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Answer:

D

Step-by-step explanation:

y= -4/3x+2/3

Answer:

A. 3x+12

Step-by-step explanation:

8x+3-5x+9

8x-5x=3x

3+9=12

then put them together

3x+12

answer= A

Answer:

The miles travelled is the independent variable.

The cost is the dependent variable.

Step-by-step explanation:

hope this helps ;)

Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

f(2k0=0

Step-by-step explanation:

answer a

The correct statement about function is,

⇒ f (2k) = 0

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.\

Given that;

(x – 2k) is a factor of function f(x),

Since, (x – 2k) is a factor of function f(x),

Hence, x = 2k is a factor of function f(x),

Thus, We get;

⇒ f (2k) = 0

Thus, The correct statement about function is,

⇒ f (2k) = 0

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Answer:

If you are using a cash register, giving back correct change is pretty simple. Just type in the cost of the item and the amount paid and bingo, the cash register tells you how much change to give back. However, if your cash register is broken, or you entered the wrong amount, or you don’t have a cash register, you’ll need to know how to make change on your own. The basic method is to count up from the price of the purchase to the amount the customer paid.

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Answer:

Neither

Step-by-step explanation:

I did all of the steps and the closest answer was C) the actual answer is 76.3, but C was the closest it was 75.6

It is given that the truth table for the logical statement:

The truth table is given as follows:

From the above truth table it is clear that the statement is a contradiction.

Using the general equation for depreciation which is y = A(1 – r)^t, The value of the car in 4 years is $12528.15

The value of the car is solved by using the formula for depreciation which is  y = A(1 – r)t

definition of variables

where

y = current value, = ?

A = original cost, = $24,000

r = rate of depreciation, = 15% and

t = time, in years. = 4 years

substituting the variables

current value, y = A(1 – r)t

current value, y = 24000 * (1 - 0.15)⁴

current value, y = 12528.15

the depreciation is $12528.15

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The maximum possible area of such a triangle is $\frac{1}{2} \cdot \sqrt{4 + 2\sqrt{3}} = \frac{\sqrt{12 + 6\sqrt{3}}}{2} = 3\sqrt{3} + 3$, and $a + b + c = 3 + 3 + 3 = \boxed{9}$.

Let O and O' be the centers of the circles with radii 1 and 3, respectively, and let P and Q be points on the small and large circles, respectively, such that TPQ is a triangle. ]

Since the radius of the small circle is 1, we have TP = 1. Let R be the midpoint of PQ, so that TR is the altitude of triangle TPQ from T. Let x = TP = 1, y = TQ, and z = TR.  [asy]

unit size(0.6 cm);

pair O, OO, P, Q, R, T;

O = (0,0);

OO = (4,0);

T = (0,3);

P = intersection points(Circle(O,1),Circle(T,2))[1];

Q = intersection points(Circle(OO,3),Circle(T,2))[0];

R = (P + Q)/2;

draw(Circle(O,1));

draw(Circle(OO,3));

draw(T--P--Q--cycle);

draw(T--R);

label("$O$", O, SW);

label("$O'$", OO, SE);

label("$P$", P, NW);

label("$Q$", Q, NE);

label("$R$", R, S);

label("$T$", T, N);

label("$x$", (T + P)/2, W);

label("$y$", (T + Q)/2, E);

label("$z$", (T + R)/2, W);

[/asy]

Then we have TR = z, and by the Pythagorean Theorem in right triangle TPQ we have

\begin{align*}

TQ^2 - 1 &= TR^2 = z^2, \

TQ^2 + 9 &= (TQ + TR)^2 = (TQ + z)^2.

\end{align*}Solving for TQ in the first equation and substituting into the second, we obtain

[(1 + z)^2 + 9 = (1 + z)^2 + 4z^2,]which simplifies to $z^2 - 2z - 2 = 0$. The positive root of this quadratic equation is $z = 1 + \sqrt{3}$, so $TQ = \sqrt{4 + 2\sqrt{3}}$. Then the area of triangle TPQ is

[\frac{1}{2} \cdot TP \cdot TQ = \frac{1}{2} \cdot \sqrt{4 + 2\sqrt{3}}.]Thus the maximum possible area of such a triangle is $\frac{1}{2} \cdot \sqrt{4 + 2\sqrt{3}} = \frac{\sqrt{12 + 6\sqrt{3}}}{2} = 3\sqrt{3} + 3$, and $a + b + c = 3 + 3 + 3 = \boxed{9}$.

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Answer:

13/15×13/14

Step-by-step explanation:

13/15 are not independents and then 12/14 aren't independants

The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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Answer:

Step-by-step explanation:

We can use the formula for continuous compounding to determine how long it will take each account to reach $1,800.

For Michael's account, the formula is:

A = P*e^(rt)

where:

A is the amount in the account after t years

P is the principal

r is the annual interest rate

t is the time in years

Plugging in the values given, we get:

1,800 = 1,000*e^(0.0475t)

Taking the natural logarithm of both sides, we get:

ln(1,800/1,000) = 0.0475t

t = ln(1,800/1,000)/0.0475

t ≈ 8.55 years

So it will take approximately 8.55 years for Michael's account to reach $1,800.

Similarly, for Peter's account, the formula is:

A = P*e^(rt)

where:

A is the amount in the account after t years

P is the principal

r is the annual interest rate

t is the time in years

Plugging in the values given, we get:

1,800 = 1,200*e^(0.0425t)

Taking the natural logarithm of both sides, we get:

ln(1,800/1,200) = 0.0425t

t = ln(1,800/1,200)/0.0425

t ≈ 9.03 years

So it will take approximately 9.03 years for Peter's account to reach $1,800.

Therefore, Michael's account will grow to $1,800 first as it will take less time (8.55 years) compared to Peter's account (9.03 years).

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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Therefore, the project progresses and the unitary method wood becomes smoother, finer steel wool (i.e. grades 3, 2, 1, and 0000) can be used to achieve a smoother finish..

To finish a task using unitary procedure, multiply this same sum by two after finding the measurements of one tiny slice. To differentiate a coded unit from a specific group or collection of groups, use the unit variable method, which only needs an expression. For instance, 40 pencils could cost. 4,000, which really is equivalent to $1.01 as well as 4000 pounds.

Here,

The information in the graphic that supports the advice to use coarse steel wool at the start of a major wood refinishing project is:

"Grade 4 steel wool is used to remove paint and other materials, while grade 0000 is used for the final finish on fine woodwork."

This suggests that coarse steel wool (i.e. grade 4) is more effective at removing paint and other materials, which is often necessary at the beginning of a wood refinishing project.

As the project progresses and the wood becomes smoother, finer steel wool (i.e. grades 3, 2, 1, and 0000) can be used to achieve a smoother finish..

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Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

The discrete data is (b) while the continuous data are (a) and (d)

These are data that can be represented using positive whole numbers.

Using the above definition as a guide, the discrete data is (b) The number of books in your apartment

These are data that can be represented using decimal numbers.

Using the above definition as a guide, the continuous data are (a) The weight of cows  and (d) The ounces of water that you drink each day

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Lo siento mucho, necesito los puntos porque estoy en una prueba.