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Suppose that Katie finished the race 0.13 second before Amy. What was Katie's
time in the race? Use an estimate to check that your answer is reasonable.

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

56 boxes

Step-by-step explanation:

1. First subtract 14 from 126 to get 112 boxes

2. Now divide 112 by 2 to get Victoria's total of 56

Answer:

cos θ = -5/13

Step-by-step explanation:

sin θ = -12/13

Use Pythagorean identity.

sin²θ + cos²θ = 1

(-12/13)² + cos²θ = 1

144/169 + cos²θ = 1

cos²θ = 25/169

cos θ = ±5/13

θ is in the 3rd quadrant, so cos θ < 0.

cos θ = -5/13

The taxi ride was 7 miles

Mia took a taxi from her house to the airport

The taxi charged a pick up fee of $1.30

They also charged $4.25 per mile

The total fare was $31.05

The number of miles can be calculated as follows

31.05 - 1.30 = 4.25x

29.75= 4.25x

Divide both sides by the coefficient of x which is 4.25

29.75/4.25= 4.25x/4.25

x= 7

Hence the taxi ride was 7 miles

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The correct statement regarding the minimum value of the quadratic functions is given as follows:

D) The graphed function has a lower minimum value.

From the graph, the minimum value of the quadratic function is given as follows:

y = -8.

The algebraic function is defined as follows:

f(x) = 0.25x² - 2x.

Hence the coefficients are given as follows:

a = 0.25 and b = -2.

The x-coordinate of the vertex is given as follows:

x = -b/2a

x = 2/0.5

x = 4.

Then the y-coordinate of the vertex, representing the minimum value, is given as follows:

f(4) = 0.25(4)² - 2(4)

f(4) = -4 -> meaning that the graphed function has a lower minimum value.

The graph is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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A player would need to hit approximately 126 home runs in 2001 to be as dominant as Duke Snyder was in 1956.

To determine how many home runs a player would need to hit in 2001 to be as dominant as Duke Snyder in 1956, we need to compare the number of home runs Duke Snyder hit relative to the rest of the league. In 1956, the National League hit a total of 1,043 home runs.

Therefore, Duke Snyder's home runs represented approximately 4.12% (43/1043) of all home runs hit in the National League that year.

In 2001, the American League hit a total of 3,053 home runs. To determine how many home runs a player would need to hit in 2001 to be as dominant as Duke Snyder in 1956, we can use the same percentage of total home runs hit in the league.

4.12% of 3,053 is approximately 126 home runs (0.0412 x 3,053 ≈ 126).

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Complete question is:

Duke Snyder hit 43 home runs during the 1956 MLB season. If National League hit 1,043 home runs in 1956 and American League 3,053 home runs in 2001. How many home runs would a player need to hit in 2001 to claim they were as dominant as Duke Snyder was during his 1956 season?

Answer:

increases by 30

Step-by-step explanation: its right

Considering that for each item, there are only two possible outcomes, and the probability of an item being defective is independent of any other item, the binomial distribution is appropriate.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

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Answer:

0.25-1/4

0.14-7/50

1.4-7/5

0.4-2/5

0.375-3/8

The equation of the line that passes through (2,28) and is perpendicular to the line that passes through (3,7) and (-2,5) is 5x + 2y = 66.

To find the equation of the line that passes through the point (2,28) and is perpendicular to the line that passes through the points (3,7) and (-2,5).

We need to follow a few steps.

Let us first determine the slope of the line passing through the points (3,7) and (-2,5).

We use the formula for finding slope, which is given as follows:m = (y2 - y1)/(x2 - x1)

Here,

x1 = 3, y1 = 7, x2 = -2, y2 = 5.

Substituting these values, we get:m = (5 - 7)/(-2 - 3) = -2/-5 = 2/5

Therefore, the slope of the line passing through (3,7) and (-2,5) is 2/5.

Now, since the line that we are looking for is perpendicular to this line, its slope will be the negative reciprocal of this slope.

We find the negative reciprocal as fol

lows:-

1/(2/5) = -5/2

Therefore, the slope of the line we are looking for is -5/2.

Now we can use the point-slope form of the equation of a line to find its equation.

This equation is given as follows:y - y1 = m(x - x1)

Here, (x1, y1) = (2,28) and m = -5/2.

Substituting these values, we get: y - 28 = (-5/2)(x - 2)

Expanding this equation, we get: 2y - 56 = -5x + 10

Rearranging this equation, we get: 5x + 2y = 66

Therefore, the equation of the line that passes through (2,28) and is perpendicular to the line that passes through (3,7) and (-2,5) is 5x + 2y = 66.

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Answer:

Y=2x+5

Step-by-step explanation:

The only change is y intercept, so you cna just model that and figure it out

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

Answer:

The final percent would be (10/100) x (20/100) x (30/100) =  0.006 = 0.6%

Answer:3/500

Step-by-step explanation:

10% of 20% of 30%

10/100 of 20/100 of 30/100

1/10 x 1/5 x 3/10

(1x1x3)/(10x5x10)

3/500

Answer:

I this its the second one I'm not sure .

The density function is called f(x), and it's known that this function is the derivative of the mass function, m(x):

Then, we require solve this differential equation for "m". Then, we integrate each part of the equality:

But we known the right hand because the integral of a derivative is the function itself:

Let's start with the left side:

Then the mass function is given by:

Answer:

92

Step-by-step explanation:

Answer:

A choice.

Step-by-step explanation:

Domain starts at x = - 7 and ends at x = 4. The domain from the graph is also continuous. Therefore, we can rule out C and D.

B is not correct as domain starts from x = -7 and not x = - 4.

The operations E-A,  A+E and B+D are defined for the matrices.

A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.

The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.

Matrices can only be added or subtracted only when they have the same dimensions, i.e. the same number of rows and the same number of columns. When adding or subtracting matrices, the corresponding elements of the matrices are added or subtracted.

Matrices A and E have the same dimensions i.e. They have 4 rows and 2 columns each.

Thus, the operations E-A (subtraction) and A+E (addition) are defined for the matrices.

Also, matrices B and D have the same dimensions i.e. They have 2 rows and 2 columns each.

Thus, the operations  B+D (addition) is defined for the matrices.

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Answer:

There is no direct question on here so I'll just assume you're asking how many rides she can get on???

Step-by-step explanation:

6 x 1 = 6

6 x 2 = 12

6 x 3 = 18

6 x 4 = 24

6 x 5 = 30

6 x 6 = 36

6 x 7 = 42

So she can get on about 6 rides (once again, if thats what ur trying to ask..)

Step-by-step explanation:

Start with G => G

Add X => G + X

Divide by A => (G + X)/A

Hebce the expression is (G + X)/A.

Answer:

g

, divide by 7, then add 3.

Step-by-step explanation:

Answer:

\(c > -1\)

Step-by-step explanation:

\(2c-10 < 3c-9\\-10 < c-9\\-1 < c\\c > -1\)

Answer:

its yes

Step-by-step explanation:

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

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The missing value for the quadratic function is given as follows:

y = -3.

As a function of it's roots x* and x**, the quadratic function is defined as follows:

y = a(x - x*)(x - x**)

In which a is the leading coefficient.

The roots of the function are the values of x when y = 0, hence:

x* = -4, x** = -2.

Thus:

y = a(x + 4)(x + 2)

y = a(x² + 6x + 8).

When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:

8a = -8

a = -1.

Hence:

y = -x² - 6x - 8;

The missing value is the value of y when x = -1, hence:

y = -(-1)² - 6(-1) - 8

y = -3.

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Answer:

54.7

Step-by-step explanation:

all you have to do id divide 136.75 by 2.5

Hope tis helps

Answer:

$72.00

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

I hope this helps!