Find the solution of this system of linearequations. Separate the x- and y- values with acomma. Enclose them in a pair of parantheses. System of equations4x + 8y = 838x + 7y = 76- 8x - 16y = -1668x + 7y = 76

Answers

Answer 1

Given,

System of equation is,

[tex]\begin{gathered} 4x+8y=83\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(i) \\ 8x+7y=76\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(ii) \end{gathered}[/tex]

Taking the equation (i) as,

[tex]\begin{gathered} 4x+8y=83 \\ 4x=83-8y \\ x=\frac{83-8y}{4} \end{gathered}[/tex]

Substituting the value of x in equation (ii) then,

[tex]\begin{gathered} 8x+7y=76 \\ 8(\frac{83-8y}{4})+7y=76 \\ 664-64y+28y=304 \\ 36y=360 \\ y=10 \end{gathered}[/tex]

Substituting the value of y in above equation then,

[tex]\begin{gathered} x=\frac{83-8\times10}{4} \\ x=\frac{3}{4} \end{gathered}[/tex]

Hence, the value of x is 3/4 and y is 10. (3/4, 10)

System of equation is,

[tex]\begin{gathered} -8x-16y=-166\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(i) \\ 8x+7y=76\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(ii) \end{gathered}[/tex]

Taking the equation (i) as,

[tex]\begin{gathered} -8x-16y=-166 \\ 8x+16y=166 \\ 4x+8y=83 \\ 4x=83-8y \\ x=\frac{83-8y}{4} \end{gathered}[/tex]

Substituting the value of x in equation (ii) then,

[tex]\begin{gathered} 8x+7y=76 \\ 8(\frac{83-8y}{4})+7y=76 \\ 664-64y+28y=304 \\ 36y=360 \\ y=10 \end{gathered}[/tex]

Substituting the value of y in above equation then,

[tex]\begin{gathered} x=\frac{83-8\times10}{4} \\ x=\frac{3}{4} \end{gathered}[/tex]

Hence, the value of x is 3/4 and y is 10. (3/4, 10)


Related Questions

A road sign is in the shape of a regular pentagon. What is the measure of each angle on the sign? Round to the nearest tenth. 540 252 54 Od 108

Answers

Internal angles of a polygon

The triangle has n=3 sides, and the sum of its internal angles is 180°

The rectangle has n=4 sides, and the sumo of its internal angles is 360°

There is a general formula to calculate the sum of the internal angles of any polygon of n sides:

Sum = 180° ( n -2 )

For a pentagon (n=5), the sum of angles is:

Sum = 180° ( 5 -2 ) = 180° * 3 = 540°

We are required to find the measure of each internal angle. Since the pentagon is regular, all of its internal angles measure the same, thus:

The measure of each angle = 540° / 5 = 108°

2. A bag contains 50 marbles, 28 red ones and 22 blue ones. A marble is picked at random from the bag. What is the probability of picking: a red marble first? a blue marble?

Answers

Answer:

28/50

Step-by-step explanation:

If there is 50 marbles and you have 22 blue and 28 red and they want you to find what the chance of picking a red marble out of the bag your chances would be 28/50 hope this helps!

3 1/2 berry and pinaple pies
times 2 rasberry pies

Answers

If your equation is 31/2 x 2 then your answer is 31
7 total pies
3 1/2 x 2 = 7

Find how many years it would take for an investment of $4500 to grow to $7900 at an annual interest rate of 4.7% compounded daily.

Answers

To answer this question, we need to use the next formula for compound interest:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

From the formula, we have:

• A is the accrued amount. In this case, A = $7900.

,

• P is the principal amount. In this case, $4500.

,

• r is the interest rate. In this case, we have 4.7%. We know that this is equivalent to 4.7/100.

,

• n is the number of times per year compounded. In this case, we have that n = 365, since the amount is compounded daily.

Now, we can substitute each of the corresponding values into the formula as follows:

[tex]A=P(1+\frac{r}{n})^{nt}\Rightarrow7900=4500(1+\frac{\frac{4.7}{100}}{365})^{365t}[/tex]

And we need to solve for t to find the number of years, as follows:

1. Divide both sides by 4500:

[tex]\frac{7900}{4500}=(1+\frac{0.047}{365})^{365t}[/tex]

2. Applying natural logarithms to both sides (we can also apply common logarithms):

[tex]\ln \frac{7900}{4500}=\ln (1+\frac{0.047}{365})^{365t}\Rightarrow\ln \frac{7900}{4500}=365t\ln (1+\frac{0.047}{365})[/tex]

3. Then, we have:

[tex]\frac{\ln\frac{7900}{4500}}{\ln(1+\frac{0.047}{365})}=365t\Rightarrow4370.84856503=365t[/tex]

4. And now, we have to divide both sides by 365:

[tex]\frac{4370.84856503}{365}=t\Rightarrow t=11.9749275754[/tex]

If we round the answer to two decimals, we have that t is equal to 11.97 years.

At which of the following points do the two equations f(x)=3x^2+5 and g(x)=4x+4 intersect?A. (0,5)B. (1,8)C. (0,4) D. (8,1)

Answers

Given the equations:

[tex]\begin{gathered} f(x)=3x^2+5 \\ \\ g(x)=4x+4 \end{gathered}[/tex]

Let's find the point where both equations intersect.

To find the point let's first find the value of x by equation both expression:

[tex]3x^2+5=4x+4[/tex]

Now, equate to zero:

[tex]\begin{gathered} 3x^2+5-4x-4=0 \\ \\ 3x^2-4x+5-4=0 \\ \\ 3x^2-4x+1=0 \end{gathered}[/tex]

Now let's factor by grouping

[tex]\begin{gathered} 3x^2-1x-3x+1=0 \\ (3x^2-1x)(-3x+1)=0 \\ \\ x(3x-1)-1(3x-1)=0 \\ \\ \text{ Now, we have the factors:} \\ (x-1)(3x-1)=0 \end{gathered}[/tex]

Solve each factor for x:

[tex]\begin{gathered} x-1=0 \\ Add\text{ 1 to both sides:} \\ x-1+1=0+1 \\ x=1 \\ \\ \\ \\ 3x-1=0 \\ \text{ Add 1 to both sides:} \\ 3x-1+1=0+1 \\ 3x=1 \\ Divide\text{ both sides by 3:} \\ \frac{3x}{3}=\frac{1}{3} \\ x=\frac{1}{3} \end{gathered}[/tex]

We can see from the given options, we have a point where the x-coordinate is 1 and the y-coordinate is 8.

Since we have a solution of x = 1.

Let's plug in 1 in both function and check if the result with be 8.

[tex]\begin{gathered} f(1)=3(1)^2+5=8 \\ \\ g(1)=4(1)+4=8 \end{gathered}[/tex]

We can see the results are the same.

Therefore, the point where the two equations meet is:

(1, 8)

ANSWER:

B. (1, 8)

Need help ASAP Which graph shows the asymptotes of the function f(x)= 4x-8 _____ 2x+3

Answers

First we will calculate the vertical asymptote, is when the denominator of the function given is equal to zero

[tex]\begin{gathered} 2x+3=0 \\ x=-\frac{3}{2} \end{gathered}[/tex]

then we will calculate the horizontal asymptote because the degree of the numerator and the denominator is equal we can calculate the horizontal asymptote with the next operation

[tex]y=\frac{a}{b}[/tex]

a= the coefficient of the leading term of the numerator

b=the coefficient of the leading term of the denomintor

in our case

a=4

b=2

[tex]y=\frac{4}{2}=2[/tex][tex]y=2[/tex]

As we can see the graph that shown the asymptotes of the function is the graph in the option C.

Given the venn diagram below, what is the correct notation?A. ⊘B. (M∩F)′C. (M∪F)′D. none of these

Answers

Given

SolutionThe complement of a set using Venn diagram is a subset of U. Let U be the universal set and let A be a set such that A ⊂ U. Then, the complement of A with respect to U is denoted by A' or AC or U – A or ~ A and is defined the set of all those elements of U which are not in A

The shaded region is

[tex](M\cup\text{ F \rparen'}[/tex]The final answer

Option C


Please help me step by step

Answers

The value of the function f(x) at x = 0 is found as -1.

What is meant by the term function?A function is described as the connection between such a set of inputs that each have one output. A function is a relationship between inputs in which each input is linked to exactly one output. Every function does have a domain and a codomain, as well as a range. In general, a function is denoted by f(x), where x would be the input. A function's general representation is y = f(x). In mathematics, a function is a special relationship between inputs (the domain) and outputs (the codomain), where each input has precisely one output and the output could be traced all the way back to its input.

For the given question,

The graph of the function f(x) = -x² + 4x - 1 is given.

For finding the value of f(x) at x = 0, check the y-coordinate of the graph when x = 0.

Put x = 0 in the given function.

f(0) = -0² + 40 - 1

f(0) = - 1

Thus, the value of the function f(x) at x = 0 is found as -1.

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May I please get help with this math problem. I have been trying many times to find all correct answers to each length.

Answers

To draw a triangle, you cannot take three random line segments, they have to satisfy the triangle inequality theorems.

0. Triangle Inequality Theorem One: the lengths of any two sides of a triangle must add up to more than the length of the third side.

Procedure:

• Evaluating the first values given: (adding the two smallest values)

[tex]5.2+8.2=13.4[/tex]

Now, we have to compare this addition with the bigger value. As 13.4 > 12.8, these can be side lengths of a triangle.

• Evaluating the second values given: (adding the two smallest values)

[tex]5+1=6[/tex]

Comparing this addition with the bigger value, we can see that 6 < 10, meaning that these values cannot be side lengths of a triangle.

• Evaluating the third values given: (adding the two smallest values)

[tex]3+3=6[/tex]

Comparing, we can see that 6 < 15. Therefore, these cannot be side lengths of a triangle.

• Evaluating the final values given:

[tex]7+5=12[/tex]

We can see that 12 < 13, so these cannot be side lengths of a triangle.

Answer:

• 12.8, 5.2, 8.2: ,can be side lengths of a triangle.

,

• 5, 10, 1: ,cannot be side lengths of a triangle.

,

• 3, 3, 15: ,cannot be side lengths of a triangle.

,

• 7, 13, 5: ,cannot be side lengths of a triangle.

Attached is a photo of my written question, thank you.

Answers

Given:

The function is,

[tex]f(x)=-2x^2-x+3[/tex]

Explanation:

Determine the function for f(x + h).

[tex]\begin{gathered} f(x+h)=-2(x+h)^2-(x+h)+3 \\ =-2(x^2+h^2+2xh)-x-h+3 \\ =-2x^2-2h^2-4xh-x-h+3 \end{gathered}[/tex]

Determine the value of expression.

[tex]\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-2x^2-2h^2-4xh-x-h+3-(-2x^2-x+3)}{h} \\ =\frac{-2h^2-4xh-h}{h} \\ =-2h-4x-1 \end{gathered}[/tex]

So exprression after simplification is,

-2h - 4x - 1

The side-by-side boxplots show consumer ratings of name brand and store brands of peanut butter.
name brands

al The median of name brands peanut butter is
grester thas the median of store
brands. (Hint* greater than or less than)

b) Approximately
% of name brands peanut butter data values are
greater than the median of the store brands peanut butter data values.

Answers

a. Median for name brands is greater than the median for store brands data values in the boxplots given.

b. Approximately 75% of the data values of name brands is greater than the median of the data values of store brands.

How to Find the Median of a Data in a Boxplot?

A boxplot displays the distribution of a data such that the median is represented by the vertical line that divides the rectangular box.

25% of a data distribution is represented by the beginning of the edge of the box, while 50% is represented by the median, and 75% is represented by the point at the end of the edge of the box in the boxplot.

Therefore:

a. The median of name brands peanut butter is approximately 82-83.

The median of store brands is approximately less than 80.

Thus, we can conclude that, the median for name brands is greater than the median for store brands.

b. The median for store brands is approximately below 25% of the data values for name brands. Therefore, we would conclude that, approximately 75% of name brands data value are greater, compared to the median of the store brands data value.

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What values of z and y make angle ABC = RPM?

Answers

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

If triangles ABC and RPM are congruent, it means that:

[tex]\begin{gathered} AB=RP \\ BC=PM \\ AC=RM \\ m\angle A=m\operatorname{\angle}R \\ m\operatorname{\angle}B=m\operatorname{\angle}P \\ m\operatorname{\angle}C=m\operatorname{\angle}M \end{gathered}[/tex]

For x, we have that:

[tex]\begin{gathered} BC=PM \\ BC=43 \\ PM=3x-8 \end{gathered}[/tex]

Thus, we have that:

[tex]\begin{gathered} 43=3x-8 \\ 3x=43+8=51 \\ x=\frac{51}{3} \\ x=17 \end{gathered}[/tex]

For y, we have:

[tex]\begin{gathered} m\operatorname{\angle}B=m\operatorname{\angle}P \\ m\operatorname{\angle}B=12y\degree \\ m\operatorname{\angle}P=62.4\degree \end{gathered}[/tex]

Thus, we have that:

[tex]\begin{gathered} 12y=62.4 \\ y=\frac{62.4}{12} \\ y=5.2 \end{gathered}[/tex]

Therefore, the answers are:

[tex]x=17,y=5.2[/tex]

The LAST OPTION is correct.

Find the sum of the arithmetic series given a₁ =A. 650B. 325C. 642D. 1266Reset SelectionPrevious Jixt45, an=85, and n = 5.

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: write the given details

[tex]a_1=45,a_n=85,n=5[/tex]

STEP 2: Write the formula for calculating the sum of arithmetic series

STEP 3: Find the sum

By substitution,

[tex]\begin{gathered} S_n=5(\frac{45+85}{2}) \\ S_n=5(\frac{130}{2})=5\times65=325 \end{gathered}[/tex]

Hence, the sum of the series is 325

Jamal built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box.

Answers

Okay, here we have this:

Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:

So to calculate the surface area we will first calculate the area of the base, the area of the short side and the area of the longest side, then we have:

Base area=6 in * 14 in=84 in^2

Short side area=8 in * 6 in = 48 in^2

Longest side area=8 in * 14 in=112 in^2

Total surface area=Base area+ 2(Short side area) + 2(Longest side area)

Total surface area=84 in^2+ 2(48 in^2) + 2 (112 in^2)

Total surface area=84 in^2+ 96 in^2 + 224 in^2

Total surface area=404 in^2

Finally we obtain that the total surface area in square inches of the toy box is 404 in^2.

Enrique takes out a student loan to pay for his college tuition this year. Find the interest on the loan if he borrowed $2500 at an annual interest rate of 6% for 3 years.Simple interest

Answers

Answer:

$450

Explanation:

The interest of the loan can be calculated using the following equation:

[tex]I=P\cdot r\cdot t[/tex]

Where P is the amount that he borrowed, r is the interest rate and t is the number of years.

So, replacing P by 2500, r by 0.06, and t by 3 years, we get:

[tex]\begin{gathered} I=2500^{}\cdot0.06\cdot3 \\ I=450 \end{gathered}[/tex]

Then, the interest of the loan is $450.

A convention center is in the shape of the rectangular pyramid with a height of 444 yd. Its base measures 348 yd by 418 yd. Find the volume of the convention center. If necessary, round your answer to the nearest tenth.

Answers

Given:

Length of the base = 418 yd

Width of the base = 348 yd

Height of the pyramid = 444 yd

Find: Volume of the rectangular pyramid

Solution:

The formula to get the volume of the rectangular pyramid is:

[tex]V=\frac{1}{3}\text{Area of the base}\times height[/tex]

Since the base is rectangular, we can replace the "area of the base" into "length x width" since that is the formula for the area of a rectangle.

[tex]V=\frac{1}{3}l\times w\times h[/tex]

Let's plug in the given data to the formula above.

[tex]V=\frac{1}{3}418yd\times348yd\times444yd[/tex]

Then, solve for V or volume.

[tex]\begin{gathered} V=\frac{1}{3}\times64,586,016yd^3 \\ V=21,528,672yd^3 \end{gathered}[/tex]

Answer: The volume of the convention is 21, 528, 672 yd³.

cuales son los dos numeros enteros cuyo producto es 294 y cuyo cociente es 6?

Answers

1.- You need two equations

- x*y = 294

- x/y = 6

2.- Solve for x

x = 6y

(6y)y = 294

3.- Simplifying

6y^2 = 294

-Solve for y

y^2 = 294/6

(1 point) A variable of a population has a mean of I = 250 and a standard deviation of o = 49.

Answers

Solution

Question 1a:

- The population mean and sample mean are approximately the same in theory. The only difference is that the distribution of the sample will be wider due to a larger uncertainty caused by having less data to work with.

- Thus, we have:

[tex]\begin{gathered} \text{ Sample Mean:} \\ 250 \\ \\ \text{ Standard Deviation:} \\ \frac{\sigma}{\sqrt{n}}=\frac{49}{\sqrt{49}}=\frac{49}{7}=7 \\ \end{gathered}[/tex]

Question 1b:

- The assumption is that the distribution is a normal distribution (OPTION C)

Question 1c:

Yes, the sampling distribution of the sample mean is always normal (OPTION B). This is in accordance with the central limit theorem.

Hurry Will give 75 points

(Score for Question 3: of 4 points)
3. The equation y = 14x describes the amount of money Louis earns, where x is the number of hours he works
and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
Carl's Earnings
Time (h)
Money earned
($)
Hours 3 5 8 10
Money 54 90 144 180

(a) How much money does Carl earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Carl's earnings over time in hours. Remember to label the axes.
Answer:
Carl earns 18 dollars an hour, we can get this by dividing the money earned by time which gets your answer.

Answers

Part a: Carl earning per hour is $18.

Part b: More Money is earned by Carl.

Part c: The  graph that represents Carl's earnings is drawn.

What is termed as the equation?A mathematical statement consisting of two expressions joined by an equal sign is known as an equation. 3x - 5 = 46 is an example of an equation. We have the value for the variable x as x = 17 after solving this equation.

For the given question,

The amount of the money Louis have is defined by the equation.

y = 14xx is the number of hours.y is the amount of money.

Carl's Earnings

Time (h)  Hours      3     5     8    10

Money earned($)  54 90 144 180

Part a: Carl earning per hour.

For 3 hours Carl earns $54.

For one hour-$54/3 = $ 18.

Part b: More Money is earned by-

For 1 hours Carl earns $8.

For 1 hour Louis earning is y = 14×1 = $14.

Thus, Carl earns more.

Part c: The  graph that represents Carl's earnings over time in hours is drawn.

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Simplify 17(z-4x)+2(x+3z)

Answers

Answer:

23z-66x

Step-by-step explanation:

Look at the attachment please :D

Which of the binomials below is a factor of this trinomial?x^2 - 13x + 42A. x + 84B. x - 7C. x^2 +12D. x + 7

Answers

Given the following trinomial:

[tex]x^2-13x+42[/tex]

To factor the trinomial, we need two numbers the product of them = 42

And the sum of them = -13

Two of the numbers of factors of 42 = -6, and -7

So, the factor of the trinomial will be as follows:

[tex]x^2-13x+42=(x-6)(x-7)[/tex]

So, the answer will be option B. x - 7

A box of a granola contains 16.8 ounces . It cost $5.19 . What is the cost , to the nearest cent , of the granola per ounce ? A . $0.12 B . $0.31 C . $3.24

Answers

The cost per unit ounce is obtained by computing the quotient:

[tex]c=\frac{C}{N}.[/tex]

Where:

• c is the cost per unit ounce,

,

• C is the cost,

,

• N is the number of ounces that you get for C.

In this problem we have:

• C = $5.19,

,

• N = 16.8 ounces.

Computing the quotient, we get:

[tex]c=\frac{5.19}{16.8}\cong0.31[/tex]

dollars per ounce.

Answer: B. $0.31

given the function m(a)=27a^2+51a find the appropriate values:

solve m(a)= 56

a=

Answers

A function is a relationship between inputs where each input is related to exactly one output.

The value of a when m(a) = 56 is 7/9.

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

We have,

m(a) = 27a² + 51a ____(1)

m(a) = 56 ____(2)

From (1) and (2) we get,

56 = 27a² + 51a

27a² + 51a - 56 = 0

This is a quadratic equation so we will factorize using the middle term.

27a² + 51a - 56 = 0

27a² + 71a - 21a - 56 = 0

(9a−7) (3a+8) = 0

9a - 7 = 0

9a = 7

a = 7/9

3a + 8 = 0

3a = -8

a = -8/3

We can not have negative values so,

a = -8/3 is neglected.

Thus,

The value of a when m(a) = 56 is 7/9.

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Determine the value for which the function f(u)= -9u+8/ -12u+11 in undefined

Answers

ANSWER

[tex]\frac{11}{12}[/tex]

EXPLANATION

A fraction becomes undefined when its denominator is equal to 0.

Hence, the given function will be undefined when:

[tex]-12u+11=0[/tex]

Solve for u:

[tex]\begin{gathered} -12u=-11 \\ u=\frac{-11}{-12} \\ u=\frac{11}{12} \end{gathered}[/tex]

That is the value of u for which the function is undefined.

4y - 6 = 2y + 8how to solve this equation

Answers

To solve this equation, we need to collect like terms

To collect like terms, we bring the terms similar to each other to the same side

In this case, the value having y will be brought to same side of the equation

Kindly note that if we are bringing a particular value over the equality sign, then the sign of the value has to change

This means if negative, it becomes positive and if positive, it becomes negative

Proceeding, we have

4y - 2y = 8 + 6

2y = 14

divide both sides by 2

2y/2 = 14/2

y = 7

The value of y in this equation is 7

Debra will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $50 and costs anadditional $0.15 per mile driven. The second plan has an initial fee of $59 and costs an additional $0.11 per mile driven.for what amount of driving do the two plans cost the same? i need the answer for miles and cost

Answers

First plan cost is modeled as:

50 + 0.15x

where x are the miles driven

Second plan cost is modeled as:

59 + 0.11x

If the two plans cost the same, then:

50 + 0.15x = 59 + 0.11x

0.15x - 0.11x = 59 - 50

0.04x = 9

x = 9/0.04

x = 225 miles

which corresponds to a cost of:

50 + 0.15*225 = $83.75

What is the average rate of change of the function f(x) = 2x^2 + 4 over the interval (-4,-1] ?

Answers

The average rate of change is:

[tex]\frac{f(-1)-f(-4)}{-1+4}=\frac{f(-1)-f(-4)}{3}[/tex][tex]f(-1)=2(-1^2)+4=6[/tex][tex]f(-4)=2(-4^2)+4=2(16)+4=36[/tex]

then computing the first formula, the average rate of change of f(x) is

[tex]\frac{6-36}{3}=-10[/tex]

Lindsay is designing a dog pen. The original floor plan is represented by figure PQRS. Lindsay dilates the floor plan by a scale factor of 1/2 with a center of dilation at the origin to form figure P'Q'R'S'. The final figure is P"Q"R"S". What are the coordinates of P'Q'R'S'?

Answers

Since we have the original coordinates P(-6, 9), Q(3, 9), R(3, 3) & S(-6, 3) and the scale factor, we multiply each x-component and y-component of each point by 1/2 in order to get P'Q'R'S', that is:

P'(-3, 9/2)

Q'(3/2, 9/2)

R'(3/2, 3/2)

S'(-3, 3/2)

And those are our P'Q'R'S' coordinates after the scaling,

Find the future value in dollars of an 18 month investment of $4900 into simple interest rate account that has an annual simple interest rate of 5.5%

Answers

Answer:

$5304.25.

Explanation:

The simple interest formula is given by

[tex]A=P(1+rt)[/tex]

where

A = future value

P = princple amount

r = interest rate /100

t = time interval.

Now in our case

A = unknown

P = $4900

r = 5.5 / 100

t = 18 / 12 ( we are converting months to years. 18 months = 18 /12 years )

Putting the above values into the simple interest rate formula gives

[tex]A=4900\lbrack1+\frac{5.5}{100}\times(\frac{18}{12})\rbrack[/tex]

which simplifies to give

[tex]\boxed{A=\$5304.25.}[/tex]

Hence, the future value is $5304.25.

Look at this graph: у 10 9 8 7 6 5 3 2 1 0 1 2 3 4 5 6 7 8 9 10 What is the slope?

Answers

EXPLANATION

As we can see in the graph, we can calculate the slope with the following equation:

[tex]\text{Slope}=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

Let's consider any ordered pair, as (x1,y1)=(1,7) and (x2,y2)=(5,8), replacing this in the equation will give us:

[tex]\text{Slope}=\frac{(8-7)_{}}{(5-1)}=\frac{1}{4}[/tex]

Answer: the slope is equal to 1/4.

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