the value of a car constantly depreciates after it is purchased. the original value of a car (zero years after purchased) was , and the value decreased by each year. the formula that describes the value of the car () in terms of the number of years after it was purchased () is . find an equation that provides the number of years since the car was purchased in terms of its value.

Answer:

Five

Step-by-step explanation:

There are 9 two-digit numbers with a units digit of 7:

17, 27, 37, 47, 57, 67, 77, 87, 97

Of these, 4 are composite numbers:

27 = 3³

57 = 3×19

77 = 7×11

87 = 3×29

The remaining 5 are prime numbers:

17, 37, 47, 67, 97

The length of BC is approximately 5.72 miles and the length of AC is approximately 12.67 miles.

Let's represent the length of the side opposite angle A "BC" and the length of the side adjacent to angle A "AC". We can then use the sine function to find BC:

sin(A) = BC / AC

Substituting the given values, we get:

sin(24°) = BC / 14

We can use a calculator or look up the value of sin(24°) to get:

sin(24°) ≈ 0.406

Solving for BC, we get:

BC = 14 * sin(24°) ≈ 5.72

To find AC, we can use the cosine function:

cos(A) = AC / AC

Substituting the given values, we get:

cos(24°) = AC / 14

We can use a calculator or look up the value of cos(24°) to get:

cos(24°) ≈ 0.913

Solving for AC, we get:

AC = 14 x cos(24°) ≈ 12.67

Thus, BC is about 5.72 miles long while AC is about 12.67 miles in length.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ1

Answer:

a. The population of the town in 2010 is 3476.

Step-by-step explanation:

This is an expontential model showing the growth or decay of something (in this case, the town's population).

If t is the number of years after 2010, then we can test the model by substituting values of t into the model.

In 2010 (t = 0), population = 3476 * 0.97^0 = 3476

In 2011 (t = 1), population = 3476 * 0.97^1 = 3371.72 (round to 3371 or 3372 as you can't have half a person).

In 2012 (t = 2), population = 3476 * 0.97^2 = 3270.5684 (round to 3270).

Therefore, the model shows us that the population slightly decreases each year after 2010, and 3476 will have to be the population in 2010.

Answer:

The population of the town in 2010 is 3476.

Step-by-step explanation:

The variable, t, is "the number of years after 2010." For example, if t = 6, then that means 6 years after 2010. That would be 2016.

Here, t = 0. t=0 means zero years after 2010. That IS 2010. If t=0, then the population is 3476. 3476 is the population of the town in 2010.

Remember, anything to the zero power is 1.

a) The value of P(Y∩P) =0.23

b) The value of (Y|P) = 0.34

c)  The value of (P|Y) = 0.27

d) The value of P(Y/P') = 0.68

What is Venn diagram?

A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it. A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example.

Given that there are two events Y and P.

P(Y) = 0.57

P(P) = 0.5

P(Y∪P) = 0.84

The formula of intersection is  P(Y∩P)  = P(P) + P(Y) - P(Y∪P)

Putting P(Y) = 0.57, P(P) = 0.5, P(Y∪P) = 0.84

P(Y∩P)  = 0.5 + 0.57 - 0.84

P(Y∩P) = 0.23.

b)

P(Y|P) = P(Y) - P(Y∩P)

P(Y|P) = 0.57 - 0.23

P(Y|P) = 0.34

c)

P(P|Y) = P(P) - P(Y∩P)

P(P|Y) = 0.5 - 0.23

P(P|Y) = 0.27

d) P(Y/P') = P(Y∩P') / P(P')

P(Y/P') = P(Y|P)/[1 - P(P)]

P(Y/P') = 0.34/(1- 0.5)

P(Y/P') = 0.68

To learn more about conditional probability, click on below link:

https://brainly.com/question/17888647

#SPJ1

Answer:

should be angle 7, 1, and 3

hope i could helpppp

Answer: 1 , 7 , 3

Step-by-step explanation:

The angles that habe the same measurement of angle 5 are;

1 , 7 , 3

Because the lines are parallel, these angles correspond to angle 5.

Answer:

Below

Step-by-step explanation:

Amount borrowed = x

Amount owed to bank at end of 1 year = 1.04 x

Manish lent out x   then the  amount owed to him

           at end of 1 year =  x (1 + .06/2)^2 = 1.0609x

GAIN =  1.0609x  - 1.04x   = 104.5    solve for x = 5000.  Rs

The amount that Manish borrowed from the bank​ is ₹5000.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

If borrowed is ₹100 compound interest is ₹104

So, interest to be paid is 4.

If the shopkeeper got ₹100 then 6 months interest is 3 and next 3 months interest is ₹3.09 so interest to be paid is ₹6.09

Difference 6.09-4=2.09

If ₹2.09 is the difference principle is ₹100

₹104.50 is the difference the principle = (100×104.50)/2.09

= ₹5000

Therefore, the amount that Manish borrowed from the bank​ is ₹5000.

To learn more about the compound interest visit:

https://brainly.com/question/14295570.

#SPJ2

It will take 0.05 yards of fabric to make one flag.

Given is that a pep squad is making mascot flags. They used 1.5 yards each of crimson, gold, and navy fabric to make 90 flags.

Assume that the total fabric needed is [x] yards. So -

(1.5 x 3) yards is needed to make 90 flags.

4.5 yards is need to make 90 flags.

1 flag will need (4.5/90) yards or 0.05 yards of fabric is needed.

Therefore, it will take 0.05 yards to make 1 flag.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

TRUE: The given contrapositive statement are correct,

If m ≤ 3, then, m < 5.

For the stated conditional statement -

If m ≤ 3, then, m < 5.

Then, contrapositive statement for the given statement will be

(m < 5)' ⇒ (m ≤ 3)'

That is;

(m > 5) ⇒ (m > 3)

That is, if m> 5 then, m > 3, which is true.

Thus, the contrapositive statement for the given conditional statement is true.

To know more about the contrapositive statement, here

https://brainly.com/question/1713053

#SPJ1

A line passes through point (1, 6) and has a slope is y=8x-14 We want to write the equation of the line that passes through (1, -6) and has a slope of 8 in slope-intercept form

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope (8), we can immediately plug that into the equation

So far, the equation of the line is:

y=8x+b

Now we need to find b

The line passes through the point (1, -6), which means that the point is a solution to the equation; when plugged into the equation, it'll create a true statement. This can help us find unknown variables, like b

Substitute 1 as x and -6 as y in the equation to solve for b

-6=8(1)+b

Multiply

-6=8+b

Subtract 8 from both sides

-14=b

Substitute -14 as b into the equation

y=8x-14

To learn more about equation visit

https://brainly.com/question/29657988

#SPJ1

Answer:1 tile 2 box 2 tile 1 box 3 tile 5 box 4 tile 6 box 6 tile 4 box

Step-by-step explanation: math

The ascending order of increasing functions are,

y = (3/4)x - 10 < y = (1/2)x - 2 < y = (4/3)x - 7/3 < y = (3/2)x - 11/2

< y = (5/2)x + 10.

The equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

When the equation of the form y = mx + b, the slopes of the function can be used to sort them in ascending order.

The equations in ascending order are,

y = (3/4)x - 10 < y = (1/2)x - 2 < y = (4/3)x - 7/3 < y = (3/2)x - 11/2

< y = (5/2)x + 10.

learn more about lines and slopes here :

https://brainly.com/question/3605446

SPJ2

Net profit is a company's profit after all expenses have been deducted. What remains after deducting fixed costs from gross profit is the net profit.

Subtracting the cost function from the revenue function yields the profit function. Assume that the profit is denoted by P(x), the revenue is denoted by R(x), the cost is denoted by C(x), and x is the quantity of goods sold. Consequently, the profit function is denoted by P(x) = R(x0 - C) (x).

Total Revenue - Total Expenses = Net Profit

A company that sells online has a $350,000 revenue and a $50,000 cost of products sold.The net income formula is defined as the difference between the total revenue earned and the total costs.Total revenue minus all costs equals net income.

The money a corporation makes after deducting interest, operational costs, and taxes over a specific time period is known as net profit.Profit After Tax is another name for Net Profit (PAT).

To learn more about net profit refer to :

https://brainly.com/question/13788133

#SPJ1

Fátima tiene un total de $ 160, Gabriel tiene un total de $ 690 y José tiene un total de $ 230.

En este problema tenemos a tres personas, Fátima, Gabriel y José, que reúnen un total de $ 1.080. A continuación, traducimos las variables y ecuaciones asociadas a la situación:

x - Cantidad de dinero de Fátima.

y - Cantidad de dinero de Gabriel.

z - Cantidad de dinero de José.

Ecuaciones: Fátima, Gabriel y José tienen un total de $ 1080.

x + y + z = 1080

Gabriel tiene 3 veces lo que José tiene.

y = 3 · z

Fátima tiene $ 70 menos que José.

x = z - 70

A continuación, resolvemos el sistema de ecuaciones lineales:

x + y + z = 1080

(z - 70) + 3 · z + z = 1080

5 · z - 70 = 1080

5 · z = 1150

z = 1150 / 5

z = 230

x = z - 70

x = 230 - 70

x = 160

y = 3 · z

y = 3 · 230

y = 690

Para aprender más de sistemas de ecuaciones lineales: https://brainly.com/question/29142634

#SPJ1

The odds ratio for the association between exposure to emf's and breast cancer would be (11/5) / (108/436) = 2.2.

1. Calculate the odds of exposure for cases: 11/5 = 2.2

2. Calculate the odds of exposure for controls: 108/436 = 0.25

3. Divide the odds of exposure for cases by the odds of exposure for controls: 2.2/0.25 = 8.8

4. Finally, the odds ratio for the association between exposure to EMF's and breast cancer is 2.2.

The odds ratio for the association between exposure to EMF's and breast cancer can be calculated by dividing the odds of exposure for cases by the odds of exposure for controls. To calculate this, first take the number of cases exposed (11) and divide it by the number of cases not exposed (5). This will give the odds of exposure for cases (2.2). Second, take the number of controls exposed (108) and divide it by the number of controls not exposed (436). This will give the odds of exposure for controls (0.25). Finally, divide the odds of exposure for cases (2.2) by the odds of exposure for controls (0.25). This will give the odds ratio for the association between exposure to EMF's and breast cancer (2.2).

Odds ratio = (11/5) / (108/436) = 2.2

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

Answer:

17/200 or [tex]\frac{17}{200}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) The amount of their account on July 1 can be found by calculating the balance of the account at the end of the first six months and then adding the second $2,000 deposit:

balance at end of first 6 months = $2,000 * (1 + 0.06/2)^2 = $2,060.60

total balance on July 1 = $2,060.60 + $2,000 = $4,060.60

b) The balance of the account one year later on January 1 can be found by calculating the balance at the end of the second six months and adding it to the balance at the end of the first six months:

balance at end of second 6 months = $2,060.60 * (1 + 0.06/2)^2 = $2,123.36

total balance on January 1 = $2,123.36 + $2,060.60 = $4,183.96

c) The compound interest can be found by subtracting the initial deposit from the balance one year later:

compound interest = $4,183.96 - $2,000 = $2,183.96

Answer:

The inequality x + y > 15 would not be valid in this system. This inequality states that the total number of hours that you and your friend drive together is greater than 15 hours, but we know that the trip will take no more than 15 hours to complete. Therefore, this inequality is not valid.

The other inequalities in the system are:

x < 8, because you want to drive less than 8 hours

y > 10, because your friend agrees to drive at least 10 hours

x + y <= 15, because the trip will take no more than 15 hours to complete.

These inequalities are all valid and can be used to determine the possible number of hours that you and your friend will drive on your road trip.

File name: “TestClass.java” import java.util.Scanner; public class TestClass {

A recursive function is one that generates a series of terms by iterating over or using its foregoing terms as input. This function is typically understood in terms of an arithmetic-geometric series with terms that share similar differences.

File name: “TestClass.java”

import java.util.Scanner;

public class TestClass {

     //Define main() method

     public static void main(String[] args) {

           // Construct a Scanner object

           Scanner scr = new Scanner(System.in);

           //Ask the user to enter a decimal number

           System.out.print("Enter a decimal number: ");

           //Get the decimal number from the user

           int decinum = scr.nextInt();

           // Display the binary number

           System.out.println("The binary equivalent of the decimal value"

                 + decinum + " is " + dec2Bin(decinum));

To know more about recursion visit:
https://brainly.com/question/15171876

#SPJ4

When Ms. Hall is buying Ms. Ward some gifts for Christmas as described in the problem,

the Constant: $90 and $7

the Coefficient: $7

the Equation:  $90 + $7x

Information form the problem shows that

one big gift that will cost $90

some small gifts that cost $7 each

the constant in this case is the price of the gifts

$90 and $7

the coefficient is $7

the equation is

$90 + $7x

where x is the number of the small gifts

Learn more about equations at

https://brainly.com/question/22688504
#SPJ1

Answer:

Answers below

Step-by-step explanation:

1. The value 550 represents the initial balance in the account, which means the account started with $550.

2. 528.28

425.00 x  2.7% x 9 = 103.275

Then we add 103.275 to the initial deposit of $425.00

425.00 + 103.275 = 528.275

Therefore the answer is $528.28

3. The answer for this one is  f(n) = 56 + 3(n − 1)

So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is [tex]a_{n} =a_{1} +d(n-1)[/tex]

Therefore, its 56 + 3(n − 1)

4. For this one we solve for r and using a calculator its r = 0.04

The value of r from the given equation is 0.04. Therefore, option A is the correct answer.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

1) The given equation is 687.5=550(1+0.05t)

Here, amount=$687.5, principal (initial balance)=$550 and rate of interest =0.05×100 =5%

So, the value 550 represents the initial balance in the account, which means the account started with $550.

2) Given that, principal=$425.00, time period=9 years and rate of interest=2.7%

We know that, S.I=(P×T×R)/100

= (425×9×2.7)/100

= 103.275

Amount=103.275+425

= 528.275

≈ $528.28

3) The given arithmetic sequence is 56, 59, 62, 65, 68,.…

Here, first term (a)=56 and common difference=59-56=3

We know that, general form of arithmetic sequence is aₙ=a+(n-1)d

Now, f(n)=56+(n-1)3

4) The given equation is 816=600(1+9r)

1+9r =816/600

1+9r =1.36

9r=0.36

r=0.04

The value of r from the given equation is 0.04. Therefore, option A is the correct answer.

To learn more about the simple interest visit:

https://brainly.com/question/25845758.

#SPJ2

Answer: -58

Step-by-step explanation:

Start by looking for key words and numbers in your question/statement:

The sum of 18 and a number, x, equals negative 40.

Notice the word sum.

Sum is addition so x plus 18 is equal to -4.

Now that we have our equation (x+18=-40) we can solve by reversing the addition with subtraction:

  X+18=-40

     -18.   -18

 X=-58

Now that you know what X is equal to, check it by plugging it back into the equation.

      -58+18=-40

    It fits! So -58 is your answer.

           Hope this helped;)

After solving the equation, the value obtained for x will be equal to 1.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the information given in the question,

4 times x plus one-half equals one-half times x plus 4.

Let's write it in mathematical form,

4x + 1/2 = 1/2x + 4

Now, solve the equation for x,

4x - 1/2x = 4 - 1/2

(8x - x)/2 = (8 - 1)/2

7x/2 = 7/2

x = (7 × 2)/(2 × 7)

x = 14/14

x = 1

To know more about equation:

https://brainly.com/question/29657983

#SPJ1

The solution is y = -2x + 2

The equation of line that passes through the point P ( -2 , 6 ) and is perpendicular to the line x - 2y = 7 is given by y = -2x + 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Let the point be P = P ( -2 , 6 )

The line is perpendicular to the line x - 2y = 7

So , the product of the slopes of the lines will be -1

And , m₁ x m₂ = -1

Now , the slope of the line x - 2y = 7 is calculated as

x - 2y = 7

Adding 2y on both sides of the equation , we get

2y + 7 = x

Subtracting 7 on both sides of the equation , we get

2y = x - 7

Divide by 2 on both sides of the equation , we get

y = x/2 - 7/2

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

So , the slope of the line m₁ = 1/2

Now , since the lines are perpendicular

the product of the slopes of the line will be -1

And , m₁ x m₂ = -1

Substituting the values in the equation , we get

1/2 x m₂ = -1

Multiply by 2 on both sides of the equation , we get

m₂ = -2

Therefore , the slope of the line A is -2

Now , the equation of line A is given by the formula

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 6 = -2 ( x - ( - 2 ) )

y - 6 = -2 ( x + 2 )

y - 6 = -2x - 4

Adding 6 on both sides of the equation , we get

y = -2x + 2

Hence , the equation of line is y = -2x + 2 where slope of the line is -2 and the y intercept is 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer:

24 Inches

Step-by-step explanation:

The length of a piece of wood that uses 8 nails as required in the task content is; 24 inches.

What is the length of a piece of wood that uses 8 nails?

It follows from the task content that the length of a piece of wood that uses 8 nails is to be determined from the task content.

Answer:

a_n = 5 × 3^(n - 1)

Step-by-step explanation:

The first term is 5. Each subsequent term is the previous term multiplied by 3.

a_1 = 5 × 3^0

a_2 = 15 = 5 × 3^1

a_3 = 45 = 5 × 3²

Notice that the exponent of the 3 is 1 less then the term number.

a_n = 5 × 3^(n - 1)

Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is [tex]\sqrt{61}[/tex] units.

A line or line segment's length between two points along the line or line segment.

The required formula is:

[tex]d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

(x1,y1)= (6,2)

(x2,y2)=(1,-4)

[tex]d = \sqrt{(1-6)^{2}+(-4-2)^{2}}[/tex]

[tex]d=\sqrt{25+36}[/tex]

[tex]d=\sqrt{61}[/tex] units.

To learn more about distance visit:

https://brainly.com/question/29130992

#SPJ1

Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is  units.

What do you mean by distance?
Distance refers to the amount of space between two or more points, or the measure of how far apart two or more points are. It can be measured in various ways, including miles, kilometers, inches, centimeters, and more. Distance is often used to measure the length of a journey or the amount of space between two physical objects. It can also refer to the amount of time between two events, such as the distance between two birthdays. Distance can also be used to describe the relative or emotional separation between two people, such as the distance between a parent and a child.

What is the formula to calculate distance between two points?

The required formula is:

[tex]d =\sqrt{(x2-x1)^2 +(y2-y1)^3}[/tex]

(x1,y1)= (6,2)
(x2,y2)=(1,-4)

[tex]d = \sqrt{(1-6)^2 + (-4 -2)^2}[/tex]
[tex]d = \sqrt{25+36}[/tex]
[tex]d = \sqrt{61} units[/tex]

To learn more about distance visit:
brainly.com/question/29130992
#SPJ1

Answer: P = 2((49h²+42h+9)(64h²-64h+16))

Step-by-step explanation:

Answer:  A= 52cm  B= 94mm  C= 9m  D= 17cm

Step-by-step explanation:

A) You first need to find the missing sides by doing

11-9= 2

and 15-9= 6

you then add it all together

6+2+9+9+15+11=52cm

B) You first need to find the missing sides by doing

25-18=7

and 22-6= 16

you then add it all together

25+22+18+16+7+6=94mm

C) You first need to find the missing sides by doing

0.5+1=1.5 then 2.5-1.5=1

and 1.2+0.8=2 then 2-0.5=1.5

you then add the numbers all together

1+1.5+0.8+1+0.5+0.5+1.2+2.5=9m

D) You first need to find the missing sides by doing

2.5+1= 3.5 then 3.5-2=1.5

and 1.5+2.5=4 then 5-4=1

you then add all the numbers together

2.5+2.5+1.5+1+5+2+1+1.5=17cm

Answer:

6y-8z-3x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2 +3 = 5