A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $21. The total cost to rent 8 chairs and 4 tables is $45. What is the cost to rent each chair and each table?

Answer:

Answer D is correct

Step-by-step explanation:

If to help pay for culinary school, Keiko borrowed money from her credit union:

a. Keiko's monthly payment is  $542.63.

b. The  total amount to repay the loan is $65,115.60

c. The total amount of interest she will pay is $15,115.60

(a) To find Keiko's monthly payment, we can use the formula for calculating the monthly payment for an amortized loan:

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

Where:

P =Monthly payment

A=  loan amount

r = Monthly interest rate

n = Total number of payment

Plugging in the values for Keiko's loan, we get:

P = $50,000

r = 0.055 / 12 = 0.00458

n = 10 * 12 = 120

P = (0.055/12 * $50,000) / (1 - (1 + 0.055/12)^(-120)) = $542.63

(b) If Keiko pays the monthly payment each month for the full term, the total amount she will repay the loan will be:

Total amount = Monthly payment * Total number of payments

= $542.63* 120 = $65,115.60

(c) If Keiko pays the monthly payment each month for the full term, the total amount of interest she will pay will be:

Total interest = Total amount - Loan amount

=$65,115.60 - $50,000 = $15,115.60

So, Keiko will pay a total of $15,115.60 in interest over the 10-year term of the loan.

Learn more about monthly payment here:https://brainly.com/question/2151013

#SPJ1

The profit to be made by selling the house for $290000 is $30000

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

You originally bought it for $250,000 and spent an additional $10,000 in renovations, Hence:

Total money spent = $250000 + $10000 = $260000

The realtor thinks you can sell it for $290,000. Therefore:

Profit = $290000 - $260000 = $30000

The profit to be made by selling the house is $30000

Find more on equation at: https://brainly.com/question/2972832

#SPJ1

The man's daily wage is given as follows:

$42.

The man's daily wage is obtained applying the proportions in the context of the problem.

Their wages per hour are in the ratio 7:5, hence the man's hourly wage is 7/5 of the woman's hourly wage, hence:

7/5 x 24/8 = 7/5 x 3 = 21/5 = $4.2 per hour.

The man works 10 hours a day, hence the daily wage is given as follows:

10 x 4.2 = $42.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

Step-by-step explanation:

5

The population in thousands of a town in the year 2007 is 16.56 thousand.

In an exponential function, the base value controls how quickly the function increases or decreases. The function expands exponentially if the base value is more than 1, whereas it degrades exponentially if the base value is between 0 and 1. Faster growth or decay is indicated by a bigger base value.

Given that,

y = 8.5(1.1)ˣ

The value of x is calculated as:

x = 2007 - 2000 = 7 years.

Substitute the value of x in the given function:

y = 8.5(1.1)⁷

y = 16.56

Hence, the population in thousands of a town in the year 2007 is 16.56 thousand.

Learn more about exponential function here:

https://brainly.com/question/15352175

#SPJ1

Answer: To find the monthly payment for each option, we can use the following formula:

Monthly Payment = Total Cost * (Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

For the option to finance at the store for 2 years at 14% interest:

Total Cost = $2,000

Monthly Interest Rate = 14% / 12 = 0.011667

Number of Months = 2 years x 12 months/year = 24 months

Substituting these values into the formula, we get:

Monthly Payment = $2,000 * 0.011667 / (1 - (1 + 0.011667)^(-24)) = $95.13

Therefore, the monthly payment for financing at the store for 2 years at 14% interest is $95.13.

For the option to use his credit card at 21% interest for 1 year:

Total Cost = $2,000

Monthly Interest Rate = 21% / 12 = 0.0175

Number of Months = 1 year x 12 months/year = 12 months

Substituting these values into the formula, we get:

Monthly Payment = $2,000 * 0.0175 / (1 - (1 + 0.0175)^(-12)) = $185.44

Therefore, the monthly payment for using his credit card at 21% interest for 1 year is $185.44.

To find the total repayment for each option, we can multiply the monthly payment by the number of months:

For the option to finance at the store for 2 years at 14% interest:

Total Repayment = $95.13/month x 24 months = $2,283.12

Therefore, the total repayment for financing at the store for 2 years at 14% interest is $2,283.12.

For the option to use his credit card at 21% interest for 1 year:

Total Repayment = $185.44/month x 12 months = $2,225.28

Therefore, the total repayment for using his credit card at 21% interest for 1 year is $2,225.28.

Step-by-step explanation:

For your question just change domain x=-4,-2,0,2,4 to the function y=-1/2x to find y and graph.

the answer is 2 5/14

Answer:

Step-by-step explanation:

To find the average number of pages written per hour, we need to divide the total number of pages written by the total time taken:

Total pages written = 6 3/10 = 63/10

Total time taken = 2 1/3 = 7/3

Average pages written per hour = Total pages written / Total time taken

= (63/10) / (7/3)

= (63/10) x (3/7)

= 9/2

Therefore, the average number of pages written per hour is 9/2, which is equal to 4.5 pages per hour.

Answer:B

Step-by-step explanation:

Answer: D : 7cm

Step-by-step explanation:

In answering the question above, the solution is The answer is s 4 = 632 expressions as a result.

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

Let's start by condensing the expression included within the summation:

[tex]2(3^n - 1) = 2*3^n - 2[/tex]

We may now enter the following expression in the original equation:

[tex]s_4[/tex] = 4 * ∑[tex](k=1[/tex]to [tex]4) 2(3^k - 1)[/tex]

[tex]s_4 = 4 * [2(3^1 - 1) + 2(3^2 - 1) + 2(3^3 - 1) + 2(3^4 - 1)]\\s_4 = 4 * [2(3^1 + 3^2 + 3^3 + 3^4) - 8]\\s_4 = 4 * [2(3^1 + 3^2 + 3^3 + 3^4) - 2^3]\\s_4 = 4 * [2(80) - 8]\\s_4 = 632[/tex]

The answer is s 4 = 632 as a result.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

The expression represents the prime factorization of 192 is 2×2×2×2×2×2×3. Therefore, option C is the correct answer.

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given number is 192.

The prime factorization is process of writing the given number into product of prime numbers.

Here, 192= 2×2×2×2×2×2×3

Therefore, option C is the correct answer.

To learn more about the factorization visit:

https://brainly.com/question/26923098.

#SPJ1

Answer:

Step-by-step explanation:

sorry I don’t know

The future value of a 10-year investment of $1200 at an APR of 7% compounded monthly is $2366.84

what is compound interest ?

Compound interest is the interest earned on an initial deposit or investment, plus all the interest that has accumulated on it over time. It is interest calculated on both the principal amount and any interest earned from previous periods, which is added to the principal amount at the end of each compounding period.
[tex]FV = P * (1 + r/n)^{n*t}[/tex]

Where:

FV = Future Value

P = Principal or initial investment

r = Annual interest rate

n = Number of times interest is compounded per year

t = Time in years

According to the question:
In this case:

P = $1200

r = 7% = 0.07

n = 12 (compounded monthly)

t = 10

Plugging these values into the formula, we get:

[tex]FV = P * (1 + r/n)^{n*t}[/tex]

[tex]FV = 1200 * (1 + 0.07/12)^{12*10}[/tex]

[tex]FV = 1200 * (1.00583333)^{120}[/tex]

[tex]FV = 1200 * 1.97236812[/tex]

[tex]FV = 2366.84[/tex]

Therefore, the future value of a 10-year investment of $1200 at an APR of 7% compounded monthly is $2366.84 (rounded to the nearest cent).

To know more about compound interest visit:
https://brainly.com/question/20406888
#SPJ1

Answer:

$62.70

Step-by-step explanation:

of means "x"

and means "+"

6 hours of mowing and 1 hour of babysitting

(6 hours of mowing) + ( 1 hour of babysitting)

6 hours of mowing

6 hours x mowing

6x9.20 = answer 1

1 hour of babysitting

1 hour x babysitting

1 x 7.50 = answer 2

add both answers together to get final answer

The given expression is already written in function notation.

Function notation is a way of representing a mathematical relationship between two variables, where one variable (usually denoted as x) is the input and the other variable (usually denoted as y) is the output. In this case, y is a function of x, which means that the value of y depends on the value of x.

To write the linear equation y = 2x + 5 in function notation, we replace y with f(x) to get:

f(x) = 2x + 5

This means that f(x) is a function of x, where the output f(x) is equal to 2 times the input x plus 5. The variable f(x) represents the value of y for a given value of x.

Learn more on linear equation here: https://brainly.com/question/2030026

#SPJ1

The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U

13. A ⋃ B  = {1, 2, 3, 4, 5, }   14. A ⋃ C  = { 1, 2, 3, 4, 5, 6}

15. A ⋂ C  = { 4 }                   16. B ⋂ C = { }

17. [tex]A^{c}[/tex]  =  {6, 7, 8, 9, 10}         18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}  

In mathematics, a set is a collection of distinct objects, which are called its elements or members. These objects can be anything - numbers, letters, people, animals, or other sets.

Sets are typically denoted using curly braces, and the elements of the set are listed inside the braces, separated by commas.

Here we have

A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6}  and U = {numbers from 0 to 10}

=> U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

i. Indicate if each statement is true or false.

7. 3 ∈ B which means 3 belongs to set B

Since, set B = {1, 3, 5}

=> ∴ 3 ∈ B is true

8. 5 ∈ C which means 5 belongs to set C

The set C = {4, 6}

=> 5 ∈ C is false

9. B ⊂ A which means B is a subset of A and elements of B are belongs to set A.  

Since elements of B are lies in set A

=> B ⊂ A is true

10. C ⊂ A which means C is a subset of A

Since all the elements of C are not lie in set A

=> C ⊂ A is false

11. C ⊂ B which means C is a subset of B

Since all the elements of C are not lie in set B

=> C ⊂ B is false

12. C ⊂ U which means C is a subset of U

Since all the elements of C are lies in U

=> C ⊂ U is true  

13. A ⋃ B = {1, 2, 3, 4, 5} ∪ {1, 3, 5} = {1, 2, 3, 4, 5, }  

14. A ⋃ C = {1, 2, 3, 4, 5} ∪ {4, 6} = { 1, 2, 3, 4, 5, 6}

15. A ⋂ C  = {1, 2, 3, 4, 5} ⋂ {4, 6} = { 4 }

16. B ⋂ C =  {1, 3, 5} ⋂ {4, 6} = { }

17. [tex]A^{c}[/tex]  = The elements in the universal set but not in A = {6, 7, 8, 9, 10}

18. [tex]B^{c}[/tex] = The elements in universal set but not in B = {0, 2, 4, 6, 7, 8, 9, 10}  

Therefore,

The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U

13. A ⋃ B  = {1, 2, 3, 4, 5, }   14. A ⋃ C  = { 1, 2, 3, 4, 5, 6}

15. A ⋂ C  = { 4 }                   16. B ⋂ C = { }

17. [tex]A^{c}[/tex]  =  {6, 7, 8, 9, 10}         18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}  

Learn more about Subsets at

brainly.com/question/28666324  

#SPJ1

Answer:

1.1

Step-by-step explanation:

-3+1.9 =-1.1

-3+1.1=-1.9

Answer:

-3 + 1.1 = -1.9

Step-by-step explanation:

Let us assume that,

→ Missing number = m

Now we have to,

→ Find the required value of m.

Forming the equation,

→ -3 + m = -1.9

Then the value of m will be,

→ -3 + m = -1.9

→ m - 3 = -1.9

→ m = -1.9 + 3

→ [ m = 1.1 ]

Hence, the value of m is 1.1.

Answer:

To find the average amount won each day by the champions, we need to divide the total amount won by the number of days:

Average amount won each day = Total amount won / Number of days

Total amount won = $694,563

Number of days = 22

Average amount won each day = $694,563 / 22 = $31,611.95 (rounded to the nearest cent)

Therefore, the average amount won each day by the champions on Jeopardy in September was approximately $31,611.95.

Step-by-step explanation:

Step-by-step explanation:

Using the formula for simple interest:

Simple Interest = P * r * t

where P is the principal, r is the rate of interest, and t is the time in years.

Substituting the given values:

Simple Interest = $370 * 0.02 * 2 = $14.80

Therefore, the simple interest owed for the use of the money is $14.80.

Answer:

3600

Step-by-step explanation:

Based on the given conditions, formulate: 4000 x ( 1 - 10\% )

Calculate the sum or difference:4000 x 0.9

Calculate the product or quotient:3600

get the result: 3600

Answer: 3600

a. The x-intercepts are 1/4 and 4. b. The vertex of the graph of f(x) is (1.875, 56), and it represents a maximum point on the graph.

The object's form is symmetrical because of the axis of symmetry, which is a straight line. On each of its sides, the axis of symmetry produces a perfect reflection. It could be lateral, vertical, or horizontal. The two sides of an object are the same if we fold and unfold it along the axis of symmetry. Various forms have various symmetry lines. There are four lines of symmetry in a square, two lines in a rectangle, infinite lines in a circle, and no lines of symmetry in a parallelogram. There are n axes of symmetry in a regular polygon with n sides.

We know that,

To find the x-intercepts, we set f(x) equal to 0 and solve for x:

-16x² + 60x + 16 = 0

4x² - 15x - 4 = 0

4x² - 16x + x - 4 = 0

4x (x - 4) - 1(x - 4) = 0

(4x - 1) (x - 4) = 0

x = 1/4

x = 4

The x-intercepts are 1/4 and 4.

The vertex of the graph of f(x) can be found using the formula x = -b/2a

x = -60 / (2(-16)) = 1.875

To establish whether the vertex is a maximum or minimum, we examine the shape of the coefficient of the x square term, which is negative (-16). This signifies that the graph expands down and the vertex is a maximum.

Hence, the vertex of the graph of f(x) is (1.875, 56), and it represents a maximum point on the graph.

Learn more about symmetry here:

https://brainly.com/question/1597409

#SPJ1

Answer:

-8

Step-by-step explanation:

4x - 9 + 3x = 8x - 1

7x - 9 = 8x - 1

7x = 8x + 8

x = -8

Therefore, the solution to the equation 4x - (9 - 3x) = 8x - 1 is x = -8.

Given:-

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

The value of variables are,

a = 0

c = 7

d = 2

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

Given that;

The expression is,

⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(4x^{2} y^{-2} z^{-2})^2 } = \frac{Ax^ay^c}{z^d}[/tex]

Now, We can simplify as;

⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(4x^{2} y^{-2} z^{-2})^2 } = \frac{Ax^ay^c}{z^d}[/tex]

⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(16x^{4} y^{-4} z^{-4}) } = \frac{Ax^ay^c}{z^d}[/tex]

⇒ [tex]\frac{2x^0y^7}{z^2} = \frac{Ax^ay^c}{z^d}[/tex]

By comparing, we get;

a = 0

c = 7

d = 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer: :)

n

_

8

I used n as the unknown number

Step-by-step explanation:

The quotient is the result of division between two numbers.

The quotient of a number (I used n) and 8 would be n 8

The amount of time it would take the water to cool to 150°F is: C. About 8 min.

In this scenario, the time would be plotted on the x-axis of the scatter plot while the temperature would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the time and temperature, an exponential equation for the line of best fit is given by:

[tex]y = 192e^{-0.028x}[/tex]

When temperature y = 150°F, the value of x (in minutes) can be calculated as follows:

[tex]150 = 192e^{-0.028x}[/tex]

ln(150/192) = -0.028x

x = -0.24686007793/0.028

x = 8 mins.

Read more on scatter plot here: brainly.com/question/28605735

#SPJ1

Answer:

Translation

Step-by-step explanation:

Translation

The side x of the similar triangle is 12.7 units.

The triangles are similar triangle.

Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional.

Therefore, using the proportion

37- 5 / x = x / 5

Evaluate the difference of 37 and 5

32 / x = x / 5

Cross multiply the equation

x × x = 32 × 5

So, we have

x² = 160

Take the square root of both sides

x = √160

Evaluate the square roots

x = 12.6491106407

Hence, the value of x is x = 12.7 units (when approximated)

learn more on triangle here:

https://brainly.com/question/2773823

#SPJ1

The graph's function g(x) has a single x-intercept, a y intercept, a vertical asymptote, an oblique asymptote, and both.

Asymptotes are points along a line that a curve approaches but never touches. The term "asymptote" refers to the point at which a function's graph converges. Asymptotes are often not necessary when graphing functions.

There are three distinct asymptotes.

Asymptote horizontal (HA) - Given that it is horizontal, its equation has the form y = k. The horizontal asymptote is the point at which the function f(x) tends to zero.

As it is a vertical line, the vertical asymptote's equation has the form x = k. When the denominator of a rational function approaches towards 0, vertical asymptotes are defined.

The equation for the slanting asymptote (also known as the oblique asymptote) is y = mx + b since the line is inclined.

given the information,

Let's write the function as g. (x)

The value of g (x) is right now.

g (x) = ( -4x² + 36) / (x + 3)

We gain by simple.

g (x) = -4x² - 4×9) / (x + 3)

We gain more after additional simplification.

g (x) = -4 (x + 3) (x - 3) / (x + 3)

g (x) = -4x + 12

There is now a vertical asymptote for the function at (0, 12)

There is a horizontal asymptote for the function at (3, 0)

The function is so resolved.

To know more about asymptotes, visit:

https://brainly.com/question/27871406

#SPJ1

The complete question is:

G(x)=-4x^2+36/x+3

What key features does f(x), shown in the graph, share

with g(x), shown in the equation? Select three options.

at least one x-intercept

at least one y-intercept

Dan oblique asymptote

O a vertical asymptote

the domain of x

Answer:

Step-by-step explanation: