Write the phrase as an expression: The product of c and 4

After 4 years Nathan will have  $3,787.43.

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

Given:

P = $3000

T= 4 years

R= 6%

Using Compound Interest

decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P \((1 + r/n)^{nt\)

A = 3,000.00 \((1 + 0.06/1)^{(1)(4)\)

A = 3,000.00 \((1 + 0.06)^{(4)\)

A = $3,787.43

Learn more about compound Interest here:

https://brainly.com/question/14295570

#SPJ1

Answer:

ferris wheel travel approx = 434.72 ft

Step-by-step explanation:

given data

wheel rotates = 9pi/8 radians

total height of the ferris wheel =  246 ft

solution

we can say here that height of the ferris wheel is same as the diameter of the wheel

and wheel is circular in shape

so we get here first radius of wheel that is

radius = half of diameter    ..........................1

put here value and we get

radius = 0.5 × 246

radius = 123 ft

and

wheel travel distance = length of arc by a angle of wheel rotates

so here length of arc will be

arc length = radius × wheel rotates angle   .....................2

put here value and we get

arc length  = 123 × \(\frac{9\pi }{8}\)

arc length = 434.7178 ft

so ferris wheel travel approx = 434.72 ft

The total number of constraints in a transshipment problem is                (2n + m - 2). Therefore, the correct option is (d) (2n + m - 2).

In a transshipment problem, there are three types of variables: supply variables, demand variables, and transshipment variables.

Supply variables represent the amount of supply available at each source node.

Demand variables represent the amount of demand required at each destination node.

Transshipment variables represent the amount of flow that is allowed to transship through each intermediate node.

For each node, there is one supply variable or one demand variable. Therefore, the number of constraints due to supply and demand variables is equal to the number of nodes, which is n.

For each arc, there is a transshipment variable that represents the amount of flow that can be transshipped through that arc. Therefore, the number of constraints due to transshipment variables is equal to the number of arcs, which is m.

In addition, we also have flow conservation constraints at each intermediate node, which require that the total flow into the node must equal the total flow out of the node. There are n-2 intermediate nodes in a transshipment problem. Thus, the number of flow conservation constraints is (n-2).

Therefore, the total number of constraints in a transshipment problem is:

n (for supply and demand) + m (for transshipment) + (n-2) (for flow conservation)

= n + m + n - 2

= 2n + m - 2

Therefore, the correct answer is (d) (2n + m - 2).

Know more about constraints here:

https://brainly.com/question/18455105

#SPJ11

the awnser is                          X = 7                     imple numerical terms are commonly written last.

In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

In our example,

- term , will be moved to the right side.

Notice that a term changes sign when it 'moves' from one side of the equation to the other.

We need to get rid of expression parentheses.

If there is a negative sign in front of it, each term within the expression changes sign.

Otherwise, the expression remains unchanged.

In our example, there are no negative expressions.

X = 7

Answer:

c) 7

Step-by-step explanation:

Given that,

→ 12 - x = 5

Let's solve the problem,

→ 12 - x = 5

→ x = 12 - 5

→ [ x = 7 ]

Hence, the value is 7.

Answer:

(3x-y^2) *(3x+y^2)

Step-by-step explanation:

See The image below:)

Answer: $50

Step-by-step explanation:

Answer:

$96

Step-by-step explanation:

If you doing ixl M.10 Multi-step problems with percents

i did this question and it's 96.hope this helps

Total cost of pay for the lunch will be $96.

What is an expression?

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 cost of lunch = $75

Sales tax = 8%

Tip = 20%

Now,

The cost on sales tax = 8% of $75

                                = 8/100 x 75

                               = $6

Thus, The cost on sales tax = $6

And, The cost for tip = 20% of $75          

                                = 20/100 x 75

                                = $15

Thus, The cost for tip = $15

So, Total cost to pay for lunch = $75 + $6 + $15

                                               = $96

Thus, Total cost of pay for the lunch will be $96.

Learn more about the expression visit:

https://brainly.com/question/4344214

#SPJ2

Answer:

\(m = -\frac{3}{2}\)

Step-by-step explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

Determine the slope

First, pick any two corresponding x and y values.

\((x_1,y_1) =(2,1)\)

\((x_2,y_2) =(8,-8)\\\)

The slope (m) is then calculated using:

\(m = \frac{y_1 - y_2}{x_1 - x_2}\)

Substitute in, the x and y values

\(m = \frac{1 - (-8)}{2- 8}\)

\(m = \frac{1 +8}{-6}\)

\(m = \frac{9}{-6}\)

\(m = -\frac{9}{6}\)

Divide numerator and denominator by 3

\(m = -\frac{9/3}{6/3}\)

\(m = -\frac{3}{2}\)

Hence, the slope is -3/2

Answer:

Is -3/2.

Step-by-step explanation:

I just took the test!

Answer: A

Step-by-step explanation:

Answer:

The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Step-by-step explanation:

Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).

To find the values in the domain where f(x) = 0, we look at the ordered pairs given.

We look for the pair in which f(x) = 0.

So f(x) = 0 in (-2.5, 0)

f(x) = 0 in (-0.75, 0)

and f(x) = 0 in (1, 0)

The corresponding values of x  in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Answer:

C. \(x=1\)

Step-by-step explanation:

When x is 1, y is 0.

To find the length of a line segment with endpoints Q(8, 2) and R(5, 7), we can use the distance formula. The measurement closest to the length of the line segment can be determined by calculating the distance between the two points using the formula and comparing the result to other given measurements.

The distance formula is used to find the length of a line segment between two points in a coordinate plane. The formula is given as:

d = √[(x2 - x1)² + (y2 - y1)²]

where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

In this case, the coordinates of the endpoints are Q(8, 2) and R(5, 7). We can substitute these values into the distance formula and calculate the distance between the points.

d = √[(5 - 8)² + (7 - 2)²]

  = √[(-3)² + 5²]

  = √[9 + 25]

  = √34

The length of the line segment QR is approximately √34 units. To determine which given measurement is closest to this length, you would compare the value of √34 to the other given measurements and select the one that is closest in value.

Learn more about coordinates here:

https://brainly.com/question/15300200

#SPJ11

The probability that Joe and Matthew  will purchase no books on this visit to the bookstore is 0.125

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

Here we will find the joint probability distribution of number of books they will buy together.

We will find joint probability distribution of x+y.

Since,

P(x, y)=P(x).P(y)

P(X=x, Y=y)=P(X=x)P(Y=y)

P(0, 0)=0.125

P(0, 1)=0.25

P(0, 2)=0.125

P(1, 0)=0.0625

P(1, 1)=0.125

P(1, 2)=0.0625

P(2, 0)=0.0625

P(2, 1)=0.125

P(2, 2)=0.0625

Here we have to find the probability that they will purchase no book on this visit is they will buy zero book that means P(x=0, y=0)

From the above probability distribution P(x=0, y=0)=0.125

The probability that Joe and Matthew  will purchase no books on this visit to the bookstore is 0.125.

To know more about probability, visit

https://brainly.com/question/11234923

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Yes it is possible

Step-by-step explanation:

Answer: The acute angle ∠YXZ = 24.3°.

Step-by-step explanation:

If in triangle ABC, C is the angle included between sides a and b then

Area of triangle = \(\dfrac12a\cdot b\cdot sin C\)

here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..

Area of a triangle = 59.7cm²

then, as per given, we have

\(59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}\)

Hence, the acute angle ∠YXZ = 24.3°.

The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin

3. No because it's a line that doesn't go through the origin

4. Yes because it's a line through the origin

5. Yes because 1/3 = 2/6 = 3/9 = 4/12

6. No because 4/2 isn't equal to 8/5

7. Draw a graph just like 4., but change the y-axis

8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.

8. b. 9

8. c. 9 * 5 = 45

9. a. The car travels 25 (> 18) miles per gallon of gasoline.

9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56

Answer:

The slope and y-intercept would be 0.

Step-by-step explanation:

Since they all sit on the same line, the slope and y-intercept would be zero. Or in other words, indefinite.

Answer:

3/6

Step-by-step explanation:

Answer:

1/2? Sorry I don't see any multiple choices as the question suggests, haha.

Answer:

x=20 y=34

Step-by-step explanation:

x+14=2x-6

x=20

(20)+14=y

y=34

The fraction of the people surveyed that said that they buy neither product p nor product q is 1/6.

It is given to us that -

A survey is conducted with the number of people buying products p and q

We have to find out the fraction of the people surveyed said that they buy neither product p nor product q.

From the given information, the total number of products can be represented as -

[Total products bought] = [p products bought] + [q products bought] - [both p and q bought] + [neither p and q bought] ---- (1)

We have to find out -

[neither p and q bought]/[Total products bought]

Let us assume that the total products bought = 6

It is known that 1/3 of the people surveyed said that they buy product p but not product q.

=> [p products bought] - [both p and q bought] = 1/3 * 6

=> [p products bought] - [both p and q bought] = 2 ------ (2)

From equation (1), we can say that -

[Total products bought] = [p products bought] + [q products bought] - [both p and q bought] + [neither p and q bought]

=> 6 = ([p products bought] - [both p and q bought]) + [q products bought] + [neither p and q bought]

From equation (2), we can write the above equation as -

=> 6 = 2 + [q products bought] + [neither p and q bought]

=> [q products bought] + [neither p and q bought] = 4  ------ (3)

Again, it is also known that 1/2 of the people surveyed said that they buy product q.

=> [q products bought] = 1/2 *6

=> [q products bought] = 3 ---- (4)

From equation (3) and equation (4), we can say that -

[q products bought] + [neither p and q bought] = 4

=> 3 + [neither p and q bought] = 4

=> [neither p and q bought] = 1  ------ (5)

From equation (5) and the total number of products bought, we can say that -

[neither p and q bought]/[Total products bought] = 1/6

(Since, the total number of products bought = 6)

Therefore, the fraction of the people surveyed that said that they buy neither product p nor product q is 1/6.

To learn more about fractions visit

https://brainly.com/question/10354322

#SPJ4

Answer:

In 25 minutes, the monthly phone charges of both companies will be the same.

Step-by-step explanation:

If we allow m to represent the number of minutes, we can create two equations for C, the total cost of phone charges from both companies:

Phoenix equation:  C = 0.5m + 30

Nuphone equation: C - 0.10m + 40

Now, we can set the two equations equal to each other.  Solving for m will show us how many minutes must Abby use for the total cost at both companies to be the same:

0.5m + 30 = 0.10m + 40

Step 1:  Subtract 30 from both sides:

(0.5m + 30 = 0.10m + 40) - 30

0.5m = 0.10m + 10

Step 2:  Subtract 0.10m from both sides:

(0.5m = 0.10m + 10) - 0.10m

0.4m = 10

Step 3:  Divide both sides by 0.4 to solve for m (the number of minutes it takes for the total cost of both companies to be the same)

(0.4m = 10) / 0.4

m = 25

Thus, Abby would need to use 25 minutes for the total cost at both companies to be the same.

Optional Step 4: Check the validity of the answer by plugging in 25 for m in both equations and seeing if we get the same answer:

Checking m = 25 with Phoenix equation:

C = 0.5(25) + 30

C = 12.5 + 30

C = 42.5

Checking m = 25 with Nuphone equation:

C = 0.10(25) + 40

C = 2.5 + 40

C = 42.5

Thus, m = 25 is the correct answer.

Answer:

5

Step-by-step explanation:

Evaluate and substitute:

Sqrt of 7 - (-18)

Sqrt of 7 + 18 = 25

Sqrt of 25 = 5

Therefore, our answer!

Hope this helps, best of luck! :p

Answer:

1

Step-by-step explanation:

According to the order operations, you must first do what is in parenthesis. 7-5.

Then, do the exponents.

Then, do multiplication and devision.

Then addition and subtraction.

Therefore, the answer is 1.

The adding of a constant to all observations in a sample will increase the sample mean by that constant.

The adding of a constant to all observations in a sample will not change the sample standard deviation.

The sample mean is calculated by adding up all of the observations in the sample and dividing by the sample size. If a constant is added to all of the observations, then the sum of the observations will increase by the product of the constant and the sample size, and so will the sample mean.

if the original sample mean was 10 and a constant of 2 was added to each observation, then the new sample mean will be 12.

The sample standard deviation is calculated by finding the square root of the sum of the squared deviations from the sample mean, divided by the sample size minus one. If a constant is added to all of the observations, then the deviations from the new sample mean will be the same as the deviations from the original sample mean, because the constant will cancel out when the deviations are squared.

Learn more about Sample mean

brainly.com/question/14127076

#SPJ11

From the given graph, let's find the rate of change.

The rate of change can also be said to be the slope of the graph.

To find the rate of change, apply the slope formula:

Take the points on the graph:

(x1, y1) ==> (4, 21)

(x2, y2) ==> (2, 42)

Thus, we have:

Therefore, the rate of change is -10.5

This means the amount in Harold's savings account decreases by $10.5 each week.

ANSWER:

Rate of change = -10.5

Answer:

Distributive property

Answer:

The distributive property

Step-by-step explanation:

In the equation, we can see that the 4 in 4(7x - 2) was distributed to the parentheses in the other side of the equation.

The 4 was multiplied to both 7x and -2, creating 28x - 8 on the other side of the equation.

So, this represents the distributive property.

if the volume is known, you can calculate the radius using the formula and the given values and it is =1.7853

To find the radius (r) of a right cylinder with a given height (h) of 10 and an unknown volume (V), additional information is needed to solve the problem. Without knowing the value of the volume, it is not possible to determine the exact value of the radius. The volume of a right cylinder is calculated using the formula V = \(\pi r^{2h}\), where π is a constant value approximately equal to 3.14159.

However, if you have the value of the volume (V), you can rearrange the formula to solve for the radius (r). For example, if the volume is given as V = 100 cubic units, you can use the formula V = πr^2h and substitute the known values to find the radius. Rearranging the formula, we get r = √(V / (πh)), where √ denotes the square root.

By plugging in the values of V = 100 and h = 10 into the formula, we can calculate the radius as r = √(100 / (π × 10)). Simplifying further, r ≈ √(10 / π) ≈ √(10 / 3.14159) ≈ √(3.1831) ≈ 1.7853

learn more about volume here:

https://brainly.com/question/28058531

#SPJ11

Polynomials are divided using synthetic division by the simplified form of long division.

Polynomials are divided using a technique called synthetic division, which uses a condensed version of long division. The procedures listed below can be used to divide a polynomial P(x) by a binomial of the form x - c (where c is a constant):

Read more about polynomials on:

https://brainly.com/question/4142886

#SPJ4

The x-coordinate of the x-intercept of line k is -5/2.

Since this point lies on the x-axis, its y-coordinate is 0.

Given that the line has a y-intercept at the point (0, p), where p is a positive constant. This means that when x = 0, y = p.

As we know that the equation of the line can be written as y = mx + b, where m is the slope and b is the y-intercept.

Here, the slope is the negative of the fraction 2p/5, so the equation of line k is y = -2p/5 x + p.

Substitute y = 0 into the equation and solve for x:

0 = -2p/5 x + p

Subtract p from both sides and then multiply by 5/(-2p):

-2p/5 x = -p

x = (-p)(5/2p)

x = -5/2

Therefore, the x-coordinate of the x-intercept of line k is -5/2.

Learn more about the intercepts here:

https://brainly.com/question/13188507

#SPJ6