Joe Wong, owner of Cookie Palace, is discussing with his accountant which method of depreciation would be best for his new delivery truck. The cost of the truck is $20,000 with an estimated life of four years. The residual value of the truck is $2,500. Calculate depreciation expenses for each year. (Enter your answers as a whole dollar amount.)

The vertical asymptote of a given function is x = -2 and x = -3.

What is the vertical asymptote of a function?

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. It appears at the x-value that is outside the domain of the function, therefore the graph can never cross it.

To find the vertical asymptotes, set the denominator equal to zero and solve for x.

For the given function,

                           [tex]F(x) = \frac{1}{7(x+2)(x+3)}[/tex]

To find the vertical asymptote, equate the denominator to zero.

                            7(x + 2)(x + 3) = 0

                              (x + 2)(x + 3) = 0

                  x + 2 = 0           (or)         x + 3 = 0

                  x = -2                (or)         x = -3

Hence, The vertical asymptote of the given function is x = -2 and x = -3.

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Based on the calculations, this equation 4f + 2(12f − 4) = 3(2f − 4) − f + 3 has one solution, which is equal to -1/23.

In Mathematics, no solution is also referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.

This ultimately implies that, an equation would have no solution or zero solution when both sides of the equal sign are not the same and the variables cancel out.

From the information provided, we have the following equation:

4f + 2(12f − 4) = 3(2f − 4) − f + 3

Opening the bracket, we have:

4f + 24f - 8 = 6f - 12 - f + 3

28f - 8 = 5f - 9

By collecting like terms, we have the following:

28f - 5f = -9 + 8

23f = -1

Dividing both sides by 23, we have:

f = -1/23

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Answer: Circumference equals = 27.004
              Area equals = 58.0586

We can write the area and circumferance of the given circle as 18.49π square units and 8.6π units.

Given is that a circle with a radius of 4.3.

We can write the area of the given circle as -

Area = πr²

Area = π x 4.3 x 4.3

Area = 18.49π square units

We can write the circumferance of the given circle as -

circumferance = 2πr

circumferance = 2 x π x 4.3  

circumferance  = 8.6π units

Therefore, we can write the area and circumferance of the given circle as 18.49π square units and 8.6π units.

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Any number between -7 and 7 can be located in the number line.

The number line is a horizontal line that has equally spread number increments.

Given a number line, suppose we plot -5 on it, which is between -7 and 7

Then, its position will be 5 units left of 0 on the number line.

Hence, -5 is the point between -7 and 7 on the number line, which is 5 units left on 0.

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Answer:

Step-by-step explanation:

Use identity:

Substitute values:

Answer:

(a - b)² = 9

Step-by-step explanation:

Expand (a - b)²:

[tex]\begin{aligned}\implies (a-b)^2&=a^2-2ab+b^2\\&=a^2+b^2-2ab\end{aligned}[/tex]

Given:

Substitute the given values into the expanded equation:

[tex]\begin{aligned}\implies (a-b)^2&=a^2+b^2-2ab\\&=15-2(3)\\&=15-6\\&=9\end{aligned}[/tex]

Therefore, (a - b)² = 9.

Answer:

c is ur answer

I hope it's help◉‿◉

Answer: 35 miles

Step-by-step explanation:

First we divide 280 by 8 to get the answer per gallon. 280 / 8 = 35, therefore each gallon equals 35 miles.

Answer: Look at the graph

Step-by-step explanation:

Answer:

Scale of the map is 1 cm corresponds to an actual distance of 1.5 km

Step-by-step explanation:

According to the question,

4.2 cm on the map corresponds to an actual distance of 6.3 km.

So,

[tex] \rm 1 \: cm \: will \: correspond \\ \rm to \: a \: distance= \dfrac{6.3}{4.2} \: km \\ \rm = 1.5 \: km[/tex]

Scale of the map is represented by 1 cm corresponds to an actual distance of 1.5 km

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

According to the question we are given that 4.2 cm on the map corresponds to an actual distance of 6.3 km.

Similarly on the map, 4.2 cm corresponds to an actual value of 6.2km distance, this means

Thus 6.2km is the same as (6.2×1000)m = 6200m

therefore, the scale of the map is

= 4.2/6200

= 1/1476.2

that is, 1cm : 1476.2 cm

= 1cm: 1.5km

Scale of the map is represented by 1 cm corresponds to an actual distance of 1.5 km

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Answer:

-3/8

Step-by-step explanation:

3(x+6)+5(x-3)

3x+18+5x-15

8x+3

8x=-3

x= -3/8

The function will be;

⇒ y = 3x - 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The domain and the range is shown in table.

Two points on the line are (2, 5) and (7, 20).

Now,

Since, The equation of line passes through the points (2, 5) and (7, 20).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (20 - 5) / (7 - 2)

m = 15 / 5

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 5 = 3 (x - 2)

⇒ y - 5 = 3x - 6

⇒ y = 3x - 6 + 5

⇒ y = 3x - 1

Therefore, The function will be;

⇒ y = 3x - 1

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Answer:

  2.  $19,547.04

  3.  $10,276.54

  4.  $16,758.38

Step-by-step explanation:

You have three problems in compound interest with different initial payments, interest rates, and compounding intervals. You want the relationship between the initial payment and the future value.

The multiplier of a single payment earning annual interest rate r compounded n times per year for t years is ...

  k = (1 +r/n)^(nt)

For this problem, r=0.09, n=1, t=9. The multiplier of the payment is ...

  k = (1 +0.09/1)^(1·9) = 1.09^9 = 2.17189328

Then the future value of $9000 will be ...

  FV = $9000 × 2.17189328 ≈ $19,547.04

For this problem, r=0.10, n=12, t=4. The multiplier of the payment is ...

  k = (1 +0.10/12)^(12·4) = 1.08333...^48 = 1.48935410

Then the future value of $6900 will be ...

  FV = $6900 × 1.48935410 ≈ $10,276.54

For this problem, r=0.13, n=12, t=13. The multiplier of the payment is ...

  k = (1 +0.13/12)^(12·13) = 1.0108333...^156 = 5.3704484

Then the payment that gives a future value of $90,000 will be ...

  P = $90,000/5.3704484 = $16,758.38

__

Additional comment

For the spreadsheet calculation, we used the "Goal Seek" capability to adjust the value of cell F4 to 90000 by changing the value in cell B4.

We could have calculated the multiplier as above, then used it different ways for the different problems. Instead, we used one FV( ) function for all of the problems.

( 60+12x )/5 fish fisherman will catch in 5+x days .

The unit method is a method of solving a problem by first obtaining the value of a single unit,  then multiplying the value of the single unit to obtain the necessary value.

Assume you go to the market to buy six apples. The shopkeeper told you that he sells 10 apples for 100 rupees. In this case, the apple is the unit and the apple price is the value. Knowing the units and values ​​is important when solving problems using unitary methods.

For simplicity, always write what you calculate on the right and what you know on the left. In the problem above, we know the amount of apples, but we don`t know the value of the apples. Note that the concept of ratio and ratio is used for problems related to this method.

5 days ------------> 12 fish

1 day --------------> 12/5 fish

5 + x days --------------> 12/5 x (5+x)

                                   = ( 60+12x )/5 fish

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Answer:

the answer is 6

Step-by-step explanation:

I hope I helped, if you have questions let me know. I'll try to answer.

Answer:

0=0

Step-by-step explanation:

Answer: Infinite Solutions

Step-by-step explanation:

Hello! Let's solve this equation.

[tex]\sf{6x-5=6x-5}[/tex]

↓

[tex]\sf{6x=6x-5+5}[/tex]

↓

[tex]\sf{6x=6x}[/tex]

[tex]\sf{6x-6x}[/tex]

↓

[tex]\sf{0}[/tex]

[tex]\textbf{So as you see, all the terms \textit{cancel out.}}\\\textbf{The \textsf{given equation} has \textit{\underline{infinite solutions.}}}\\\textbf{The equation is true for any x-value.}[/tex]

[tex]_ < \!\!\!\rule{300}{1}\!\!\!_ >[/tex]

Answer:

i know i know its is 8.78 pounds it is easy

Step-by-step explanation:

what you do is that i am smart

The required total cost of the 11 kg of potatoes and 1½ kg of carrots is $7.72.

Given that,
The cost of 5 kg of potatoes is £3.40 the cost of 2 kg of carrots is 32p working out the total cost of 11 kg of potatoes and 1½ kg of carrots.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Cost of potatoes per kg = 0.68
Cost of 11 kg of potatoes = 0.68×11 = $7.48
Cost of the carrots per kg = 0.16
Cost of 1.5 kg carrot = 0.24
Total cost of the 11 kg of potatoes and 1½ kg = 7.48 + 0.24= $7.72.

Thus, the required total cost of the 11 kg of potatoes and 1½ kg of carrots is $7.72.

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The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expressions are given below.

(5 + 9 - 2³) and (4² - 6)

Simplify the expression, then we have

(5 + 9 - 2³) = 5 + 9 - 8 = 6

(4² - 6) = 16 - 6 = 10

The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.

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The penguin's depth after 4 minutes is d = 10.7 + 146m

A rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.

if the penguin moves with a speed of 146 meters per minute, then its distance after m minutes is  = 146 x m

Since it moved from an elevation 10.7 below the sea surface, its total distance(d) would be = 10.7 + 146m

substitute m = 4 minutes,

we have

d  = 10.7 + 146(4)

d = 594.7metres

In conclusion, the function rule is 10.7 + 146m and the distance d covered after 4 minutes is 594.7 meters

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Answer:

1.2

Step-by-step explanation:

3/2 ÷ 1 1/4

Answer:

1.2

Step-by-step explanation:

Just did it on khan academy.

To have $600,000 for retirement in 35 years at 5% interest, one would need to deposit $528.13 in the account each month.

Periodic deposits are monthly cash inflows into a retirement account that accumulates interest by compounding.

To find periodic deposits, we can use an online finance calculator, defining the parameters as follows.

N (# of periods) = 420 months (35 years x 12)

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $600,000

Results:

Monthly Deposits (PMT) = $528.13

Sum of all periodic deposits = $221,814.60

Total Interest = $378,185.40

Thus, monthly deposits of $528.13 can accumulate to $600,000 in 35 years at 5% interest.

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The number will x=17 and y=-3 as the sum of two numbers is 14 and the difference between the numbers is 20.

The addition, subtraction, multiplication, division, exponentiation, and modulus operations are carried out by the arithmetic operators. One operand is added to the other in addition. On the provided operands, the operator is accustomed to performing mathematical operations like addition, subtraction, multiplication, division, modulus, etc. Examples of arithmetic operators include: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc.

Here,

x+y=14

x-y=20

subtract equation,

2y=-6

y=-3

x+y=14

x-3=14

x=17

The result will be x=17 and y=-3 because the sum of the two numbers is 14 and their difference is 20.

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Answer:10.85

Step-by-step explanation:

First you have to multiply a, 3 5/6, by b, 5 2/3. Which is 21.7222222, if you simplify it, you would get 21.7. Then you divide the total by 2 and you get 10.85.

Answer:

10 31/36 m

Step-by-step explanation:

formula for area of a triangle base times height times 1/2

we turn the height and base into improper fractions

3 5/6= 23/6

5 2/3=17/3

Now we multiply together to find area
23/6x17/3= 391/18

391/18x1/2=391/36

10 31/36

hopes this helps please mark brainliest

If a standardized exam's scores are normally distributed. The z-scores that correspond to each value are 1.22, -0.75, 2.18,- 0.31.

mu = population mean = 1487

sigma = population standard deviation = 314

x =1870

z = (x - mu)/σ

z = (1870-1487)/314

z = 1.22 (approximately)

x =1250

z = (x - mu)/σ

z = (1250-1487)/314

z = -0.75

x =2170

z = (x - mu)/σ

z = (2170-1487)/314

z = 2.18 (approximately)

x =1390

z = (x - mu)/σ

z = (1390-1487)/314

z = -0.31 (approximately)

Therefore the z-scores that correspond to each value are 1.22, -0.75, 2.18,- 0.31.

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The composition f(x) - g(x) has its value to be 12x

The definitions of the functions are given as

f(x) = (x - 3)²

Also, we have the definition of another functions to be given as

g(x) = (x + 3)²

To find the composition f(x) - g(x), we make use of the following equation

f(x) - g(x) = f(x) - g(x)

So, we have the following equation

f(x) - g(x) = f(x) - g(x)

Substitute the known values in the above equation

So, we have the following equation

f(x) - g(x) = (x + 3)² - (x - 3)²

Apply the differece of two squares rules

So, we have

f(x) - g(x) = (x + 3 + x - 3)(x + 3 - x + 3)

So, we have

f(x) - g(x) = (2x)(6)

This gives

f(x) - g(x) = 12x

Hence, the value of the composition is f(x) - g(x) = 12x

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The required area of the flour in the square yard is A =n[ L×W ] where L and W are the length and width of the tiles respectively.

Given that,
A rectangular floor is long and wide. Pablo wants to carpet the floor with carpet titles sold by the square yard.

Surface area is defined as the area of the surface that is uncovered.

here,
Let for a tile the length be L and the width be W,
Assume that the number of tiles required is N,
The area of the N tiles is equal to the area of the rectangular floor,
Area of the floor = N [area of the tile]
Area of the floor (A = N [L× W]

Thus, the required area of the flour in the square yard is A =n[ L×W ] where L and W are the length and width of the tiles respectively.

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Answer: 667

Step-by-step explanation:

14.50 x 46

A recording of $0 for the family simply means that they have not saved anything or have spent all the savings.

Savings simply means keeping of miney for a period of time in order to cater for future expenses. Saving is defined as income that is not spent or deferred consumption. Saving methods include putting money aside in a deposit account, a pension account, an investment fund, or as cash. Saving also entails lowering expenses, such as recurring costs.

Here, the family wants to save $100 each month and they record their progress toward this goal at the end of each month.

A recording of $0 simply means no savings.

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Step-by-step explanation:

please remember you middle school and high school classes, homework and exams.

here on college level this is just meant as a quick reminder.

so, what exactly don't you understand, please, so that I can provide specific guidance ?

6

the vertex : the turn-around point, where the parabola curve changes its tendency : (-3, 0.5)

axis of symmetry : since the parabola opens downwards, the axis of symmetry (it is like a mirror for one half of the curve to the other half) is a vertical line going right through the vertex : x = -3

y-intercept is the y-value when x = 0 : (0, -4)

x-intercepts are the x-values when y = 0 :

(-4, 0) and (-2, 0)

max or min : there is only one identifiable extreme value, it is at the vertex, of course, and is clearly a maximum :

at x = -3 the max value of the function is 0.5

the optimal value is the y-coordinate of the vertex (the function value between the 2 x-intercepts) : 0.5

4

y = 0.5x + 6 is linear. why ? because the highest exponent of x is 1. that creates a proportional relationship between x and y meaning y only increases with x in a constant manner.

y = 2x² + 5 is quadratic. why ? because the highest exponent of x is 2. this squares things, in other words, it makes them quadratic.

the graph as third item in the list is neither. the functional value gets exponentially bigger, the closer x gets to 0.

this looks like y = -1/x = x^(-1)

the graph as forth item in the list is a parabola again, and as such it is quadratic.

The answers to the worksheet are in the included picture! :p

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This is just an example on how to simplify fractions: Write the simplified form of the fraction 12/24.

The given fraction is 12/24.

Step 1: Let us write the factors of 12 and 24.

Factors of 12 are: 1, 2, 3, 4, 6, 12

Factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

Step 2: Let us identify the common factors of 12 and 24.

Common factors are: 1, 2, 3, 4, 6, 12

Step 3: Keep dividing the numerator and denominator by the common factors.

(12 ÷ 2)/(24 ÷ 2) = 6/12

And

(6 ÷ 2)/(12 ÷ 2) = 3/6

Now divide by 3,

(3 ÷ 3)/(6 ÷ 3) = 1/2

Thus, 1/2 is the simplified fraction of 12/24.

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