Landon Wallis is an auto mechanic whowishes to start his own business. He willneed $3900 to purchase tools andequipment. Landon decides to financethe purchase with a 60-month fixedinstallment loan with an APR of 4.5%a. Determine Landons finance charge.b. Determine Landons monthly payment.

Answer:

Now, the Lowest Common Multiple (LCM) of 55 & 77 is :

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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If Addison owns a take out and for every delivery he charges $10, he wants to make at least $250 as daily sales figure. How much delivery must he make daily in order to achieve this?

This is because when you see the expression "at least," that implies that Addison wants to make $250 or anything above that, and nothing less than that. The expressions at least, at most, greater than and less than all denote an inequality.

At least 250 as sales means Addison wants to make 250 or anything greater than that.

The solution therefore is shown below;

If x is less than or equal to 25 (as shown in the solution), this means Addison must make 25 deliveries daily

Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit

One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.

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The data contained in the foodindustry file can be expressed mathematically by calculating the average sales per store for each restaurant chain.

This can be done by dividing the total sales of all stores in the chain by the total number of stores in the chain. Mathematically, this could be expressed as follows:

Average Sales per Store = Total Sales of all Stores / Total Number of Stores

For example, if a chain had 10 stores with a total sales of $100,000, the average sales per store would be $10,000 ($100,000/10). This calculation can be used to compare the performance of different restaurant chains, as well as to identify potential areas of improvement.

The data contained in the foodindustry file can be expressed mathematically by calculating the average sales per store for each restaurant chain, which is done by dividing the total sales of all stores in the chain by the total number of stores in the chain.

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Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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Answer:

9 squirrels and 36 birds

Step-by-step explanation:

4x+x=45

5x=45

x=9

4*9=36

Answer:

3n+3=5.4

3n=2.5

n= 4/5

Step-by-step explanation:

0.8

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:

see explanation

Step-by-step explanation:

Equate the values on the left to like values on the right side

4

4x + 2i = 8 + yi , then

4x = 8 ⇒ x = 2

y = 2

Then x = 2, y = 2

5

- 10x + 12i = 20 + 3yi , then

- 10x = 20 ⇒ x = - 2

3y = 12 ⇒ y = 4

Then x = - 2, y = 4

6

2x - yi = 14 + 12i , then

2x = 14 ⇒ x = 7

- y = 12 ⇒ y = - 12

Then x = 7, y = - 12

7

54 - \(\frac{1}{7}\) yi = 9x - 4i , then

9x = 54 ⇒ x = 6

- \(\frac{1}{7}\) y = - 4 ( multiply both sides by - 7 )

y = 28

Then x = 6, y = 28

Answer:

4x + 2i = 8 + yi , then

4x = 8 ⇒ x = 2

y = 2

Then x = 2, y = 2

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

Answer:

D

Step-by-step explanation:

Sure! Let’s solve these problems one by one.

2.1 To determine the x-intercepts of f, we need to find the values of x when f(x) = 0. So we need to solve the equation -2x² - 5x + 3 = 0. Using the quadratic formula, we get that x = (-(-5) ± √((-5)² - 4(-2)(3))) / (2(-2)). This simplifies to x = (5 ± √(49)) / (-4). So the x-intercepts are (5 - √(49)) / (-4) and (5 + √(49)) / (-4).

2.2 The axis of symmetry of a parabola in the form f(x) = ax² + bx + c is given by the formula x = -b / (2a). In this case, a = -2 and b = -5, so the axis of symmetry is x = -(-5) / (2(-2)) = 5/4.

2.3 The range of a quadratic function in the form f(x) = ax² + bx + c is determined by its vertex. The x-coordinate of the vertex is given by the formula x = -b / (2a), which we already calculated to be 5/4. The y-coordinate of the vertex is given by f(5/4) = -2(5/4)² - 5(5/4) + 3 = -25/8 - 25/4 + 3 = -25/8 - 50/8 + 24/8 = -51/8.

Since a < 0, the parabola opens downwards and the vertex is the highest point on the graph. Therefore, the range of f is (-∞, -51/8].

2.4 Reflecting the graph of f in the x-axis means that we change the sign of the y-coordinates. This is equivalent to replacing f(x) with -f(x). So the equation of the reflected graph is -f(x) = 2x² + 5x - 3.

Translating this graph 4 units to the right means that we replace x with (x - 4). So the equation of the translated graph is g(x) = 2(x - 4)² + 5(x - 4) - 3. Expanding this expression, we get g(x) = 2x² - 16x + 32 + 5x - 20 - 3 = 2x² - 11x + 9.

So the equation of g in the form g(x) = a(x + p)² + q is g(x) = 2(x - (-11/4))² + (9 - (121/8)).

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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Answer:

37 years old

Step-by-step explanation:

If Dee is 7 years older than Sydney we can write an equation using the variables D to represent D and S to represent Sydney.

D + S = 81

Since Dee is 7 years older than Sydney we can say

D = S + 7.

To get S to stand alone replace the D with its equivalent equation.

(S+7) + S = 81.

Solve by subtracting 7 on both sides.

S + S = 74.

Combine like terms to get:

2S = 74.

Now divide by 2 to get S to stand alone.

S = 37

Therefore Sydney is 37 years old.

The calculated  of the integral expression \(\int\limits^3_1 {xf''(x)dx\) is 4

From the question, we have the following parameters that can be used in our computation:

Also, we have

\(\int\limits^3_1 {xf''(x)dx\)

This means that we integrate the above expression twice

The first integration gives

\(\int\limits^3_1 {xf''(x)dx} = xf'(x)\right]^3_1 - \int^3_1 f'(x)dx\)

Next, we have

\(\int\limits^3_1 {xf''(x)dx} = xf'(x)\right]^3_1 - \left[f(x)\right]^3_1\)

When the equation is expanded, we have

\(\int\limits^3_1 {xf''(x)dx} = 3f'(3) - f(3) - (f'(1) - f(1))\)

Recall that f(1) = 8 and f(3) = −4 ;  '(1) = 5, and f '(3) = 1

When these values are substituted in the above equation, we have the following:

\(\int\limits^3_1 {xf''(x)dx} = 3(1) - (-4) - (5 - 8)\)

Evaluate the expressions in bracket

\(\int\limits^3_1 {xf''(x)dx} = 3 + 4 - 3\)

So, we have

\(\int\limits^3_1 {xf''(x)dx} = 4\)

Hence, the value of the derivative is 4

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Answer:

10

Step-by-step explanation:

\(\displaystyle \int^3_1xf''(x)\;\text{d}x\)

To evaluate the given definite integral, use integration by parts.

\(\boxed{\begin{minipage}{4.6 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}\)

Begin by working out which part should be u and which part should be dv/dx. As it is easier to differentiate x, and integrate f''(x), then:

\(\textsf{Let}\;u=x\)

\(\textsf{Let}\;\dfrac{\text{d}v}{\text{d}x}=f''(x)\)

Differentiate u with respect to x:

\(\dfrac{\text{d}u}{\text{d}x}=1\)

Integrate dv/dx to find v:

\(\displaystyle v=\int_a^b f''(x)\; \text{d}x=\left[\vphantom{\dfrac12}f'(x)\right]^b_a\)

Substitute the values into the integration by parts formula and evaluate the definite integral:

\(\begin{aligned}\displaystyle \int^3_1 x f''(x)\:\text{d}x &=\left[\vphantom{\dfrac12}xf'(x)\right]^3_1-\int^3_1 f'(x)\:\text{d}x\\\\&=\left[\vphantom{\dfrac12}xf'(x)\right]^3_1-\left[\vphantom{\dfrac12}f(x)\right]^3_1\\\\&=\left(3\cdot f'(3)-1\cdot f'(1)\right)-\left(f(3)-f(1)\right)\\\\&=3f'(3)-f'(1)-f(3)+f(1)\end{aligned}\)

Substitute the given values of f(1) = 8, f(3) = -4, f'(1) = 5 and f'(3) = 1:

                      \(\begin{aligned}&=3f'(3)-f'(1)-f(3)+f(1)\\\\&=3\cdot 1-5-(-4)+8\\\\&=3-5+4+8\\\\&=10\end{aligned}\)

Therefore, the evaluation of the given integral is 10.

Answer:

B

Step-by-step explanation:

i took quiz

Answer:

y=2x-7

Step-by-step explanation:

Answer:

Since the equation can be written in the form  

y

=

k

x

,  

y

varies directly with  

x

and  

k

. The constant of variation,  

k

, is  

3

4

.

3

4

Step-by-step explanation:

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

Find 10% Then half it to find 5%. Times what 10% is by 2 and then add the 5%. Or find out what goes into 24 4 times as it's 25% off and 25 goes into 100 4 times.

Step-by-step explanation:

Answer:

This is not a function

Step-by-step explanation:

Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.

This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function

Answer:

This is not a function.

Step-by-step explanation:

The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.

Answer:

363

Step-by-step explanation:

125 +

238

____

3

1

125 +

238

____

63

125 +

238

____

363

Using the conversion from the 24-hour system to the AM/PM system, the patient should take the medicine at 10 PM.

22 divided by 12 has remainder 10, hence 22 is equivalent to 10 PM.

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The function is an exponential growth function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer:

1 pair

Step-by-step explanation:

The top and bottom sides can go forever without crossing

Answer:

1

Step-by-step explanation: because the top and bottom a pair

Answer:

0.444444

How's that?