The 6 members of the homecoming decorating committee want to make 525 paper flowers for the homecoming dance. Each flower takes about 412 minutes to make. About how long will each member of the committee have to spend making flowers?

If Michael has earned $240 interest on an initial investment of $2,000. , then simple interest is 3% for paying in bank.

Simple interest is a quick and easy method of calculating the interest charge on a loan.

Given that,

I = interest = $240

P = principal (investment)=2000

R = simple interest rate=?

T = years= 4 years

Formula: I = PRT

Plug into formula:

240 = 2000(R)4

Multiply right side 2000×4

240 = 8000R

Divide both sides by 8000.

R = 240/8000

R = 0.03

Now multiply with 100

The simple annual interest rate was .03 or 3%.

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The value of 0 to the power of 0 (0^0) is undefined, it may be treated as 1.

The value of 0 raised to the power of 0 (0^0) is undefined.

Mathematically, any nonzero number raised to the power of 0 is equal to 1. However, 0^0 is an indeterminate form, meaning that it does not have a well-defined value.

When evaluating expressions involving 0^0, different contexts may assign different values to it. In some cases, it may be treated as 1, while in others, it may be considered as undefined.

The missing x-values are 9, 24, 12, and 16, ensuring proportions remain equal in each ratio set.

To find the missing values that make the sets of ratios equivalent, we can use proportions.

1. Tiles 2 : 3 = 6 : x

  Cross multiplying, we get: 2x = 18

  So, x = 9

2. 4 : 7 = x : 42

  Cross multiplying, we get: 7x = 168

  So, x = 24

3. 2x : 48 = 3 : 12

  Cross multiplying, we get: 12x = 144

  So, x = 12

4. 12 : 15 = x : 20

  Cross multiplying, we get: 15x = 240

  So, x = 16

Therefore, the x-values that make the sets of ratios equivalent are:

1. x = 9

2. x = 24

3. x = 12

4. x = 16

Final answer:

The most appropriate unit of measurement to measure the distance between the baseball stadium and the airport, which is 1.6 × 10⁶ centimeters, would be kilometers.

Explanation:

The most appropriate unit of measurement to measure the distance between the baseball stadium and the airport, which is 1.6×10⁶ centimeters, would be kilometers.

When measuring long distances, kilometers are commonly used. Kilometers are larger units of measurement compared to centimeters and millimeters, making them appropriate for measuring large distances like the one mentioned in the question.

Answer:

3x - 2y > 6

C is correct

Step-by-step explanation:

We are given a graph of inequality function and we need to find out the equation of graph.

First we find the equation of equality and then find inequality.

x-intercept: (2,0)

y-intercept: (0,-3)

Now we find equation of line intercept form:

[tex]\dfrac{x}{2}-\dfrac{y}{3}=1[/tex]

[tex]3x-2y=6[/tex]

Now we find inequality sign

If we take (0,0) as test point. It would be false because (0,0) is not in shaded area.

Put (0,0) into 3x-2y=6

3(0) - 2(0) ____ 6

0 ___ 6

We make it false

0 > 6

So, correct equation is 3x - 2y > 6

Hence, The equation of the given graph is 3x - 2y > 6

Answer:

[tex](f-g)(x) = -x^{3} - 3\cdot x + 2[/tex]

Step-by-step explanation:

The new function is:

[tex](f-g) (x) = -3\cdot x + 2 -x^{3}[/tex]

[tex](f-g)(x) = -x^{3} - 3\cdot x + 2[/tex]

Answer:

Y

Step-by-step explanation:

Answer:

The required model is [tex]3.5y+2.25y=345[/tex]

60 pounds of concrete each bag make.

Step-by-step explanation:

Consider the provided information.

Let the number of concrete bags are used is represented by y.

Part (A)

3.5 bags of concrete mix for a new set of stairs and 2.25 bags  of concrete mix for a garden wall.

This can be written as:

[tex]3.5y+2.25y[/tex]

Timothy mixed  345 pounds of concrete in all.

Therefore, [tex]3.5y+2.25y=345[/tex]

Hence, the required model is [tex]3.5y+2.25y=345[/tex]

Part (B)  Solve for y. How many pounds of concrete does each bag make?

Consider the above equation.

[tex]3.5y+2.25y=345[/tex]

Solve the equation for y as shown.

Add the like terms.

[tex]5.75y=345[/tex]

Divide both the sides by 5.75

[tex]y=60[/tex]

Hence, 60 pounds of concrete each bag make.

The unit rate for a bagel at Fresh side is $0.09 cheaper than the unit rate at

Value mart for bagels.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Fresh side grocery sells 7 bagels for $4.41.

∴ The cost of one bagel at Fresh side is $(4.41/7) = $0.63.

Value mart sells 5 bagels for $3.60.

∴ The cost of one bagel at Value mart is

= $(3.60/5).

= $0.72

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Answer:

The second graph.

Step-by-step explanation:

When the time is 0, the ride has not yet begun.  Therefore the height above ground is nearly nothing.

As time increases, the ride goes up until it hits the top.  The ride then goes back down nearly to the ground.  This is one time around.

The ride then goes back up to the top and back down to the starting point.

This is the motion of the second graph, so the second graph is correct.

The second graph is used to represent A child rides around on a ferris wheel twice.

Graph is a mathematical representation of a network and it describes the relationship between lines and points

In the given graphs, the relationship between the height above ground and times are represented.

The second graph given is best suited to represent "A child rides around on a ferris wheel twice"

When the time is 0, the ride has not yet begun.  Therefore the height above ground is nearly nothing.

As time increases, the ride goes up until it hits the top.  The ride then goes back down nearly to the ground.  This is one time around.

The ride then goes back up to the top and back down to the starting point.

This is the motion of the second graph, so the second graph is correct.

Hence second graph is used to represent the given situation.

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So we are given an increase of 7% to 13%, so we multiply the capital with 1.07 and 1.13. So the range is:

minimum = $2,300 * 1.07 = $2,461

maximum = $2,300 * 1.13 = $2,599

The set notation is:

interest, X = {7%, 13%}

money, Y = {$2461, $2599}

The interval notation is:

[$2461, $2599]

Answer:

HERE IS THE ABSWER SRRY FOR CAPS 4(x+2) + 5(y+3)

4x+8 + 5y + 15

4x + 5y + 23

Step-by-step explanation:

Answer:

The answer is A) 2x + y  = 6

Step-by-step explanation:

Since the first line has a slope of -2, we know that the second does as well. We know this because parallel lines have the same slope. Now we can use that slope along with the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = -2(x - 2)

y - 2 = -2x + 4

y = -2x + 6

In this case, to find an equation that is similar, we could put it into standard for.

y = -2x + 6

2x + y = 6

This is answer A

Answer:

[tex]b^6[/tex]

Step-by-step explanation:

Given expression is,

[tex](b^3)^2[/tex],

By the power rule of exponent,

[tex](a^m)^n=a^{mn}[/tex]

Thus, we can write,

[tex](b^3)^2=b^{3\times 2}=b^6[/tex]

Since, further simplification is not possible,

Hence, the simplified form of the given expression,

[tex]b^6[/tex]

A function [tex]f[/tex] from a set [tex]A[/tex] to a set [tex]B[/tex] is a relation that assigns to each element [tex]x[/tex] in the set [tex]A[/tex] exactly one element [tex]y[/tex] in the set [tex]B[/tex]. The set [tex]A[/tex] is the domain (also called the set of inputs) of the function and the set [tex]B[/tex] contains the range (also called the set of outputs).

[tex]We \ denote \ the \ \mathbf{exponential \ function} \ f \ with \ base \ a \ as: \\ \\ f(x)=a^x \\ \\ where \ a>0, \ a\neq 1, \ and \ x \ is \ any \ real \ number[/tex].

We have the following equation:

[tex]y=100(1-12)^t[/tex]

That can be written as:

[tex]y=100(-11)^t[/tex]

Recall that the definition of exponential functions establishes that:

[tex]We \ denote \ the \ \mathbf{exponential \ function} \ f \ with \ base \ a \ as: \\ \\ f(x)=a^x \\ \\ where \ a>0, \ a\neq 1, \ and \ x \ is \ any \ real \ number[/tex].

That is:

[tex]a \ \mathbf{must} \ be \ greater \ than \ 1[/tex]

In this problem, [tex]a=-11[/tex], therefore this is not an exponential function.

The function:

[tex]y=0.1(1.25)^t[/tex]

is an exponential function because is a function of the form [tex]f(t)=ka^t \\ \\ where \ a>0 \ and \ k \ constant[/tex]

So [tex]k=0.1 \ and \ a=1.25[/tex]. Since [tex]a \ is \ greater \ than \ 1[/tex] and being raised to the power of [tex]t[/tex], the function increases. This means that [tex]y[/tex] increases as [tex]t[/tex] increases as illustrated in Figure 1. This represents a growth.

The function:

[tex]y=((1-0.03)12)^{2t}[/tex] can be written as:

[tex]y=11.64^{2t}[/tex]

and is an exponential function because is a function of the form [tex]f(t)=a^{bt} \\ \\ where \ a>0 \ and \ b \ constant[/tex]

So [tex]a=11.64 \ and \ b=2[/tex]. Since [tex]a \ is \ greater \ than \ 1[/tex] and being raised to the power of [tex]2t[/tex], the function increases. As in the previous exercise, this means that [tex]y[/tex] increases as [tex]t[/tex] increases as illustrated in Figure 2. This represents a growth.

The function:

[tex]y=426(0.98)^t[/tex]

is an exponential function because is a function of the form [tex]f(t)=ka^t \\ \\ where \ a>0 \ and \ k \ constant[/tex]

So [tex]k=426 \ and \ a=0.98[/tex]. Since [tex]a \ is \ less \ than \ 1[/tex] and being raised to the power of [tex]t[/tex], the function decreases. Here this means that [tex]y[/tex] decreases as [tex]t[/tex] increases as illustrated in Figure 3. This represents a decay.

The function:

[tex]y=2050(12)^t[/tex]

is an exponential function because is a function of the form [tex]f(t)=ka^t \\ \\ where \ a>0 \ and \ k \ constant[/tex]

So [tex]k=2050 \ and \ a=12[/tex]. Since [tex]a \ is \ greater \ than \ 1[/tex] and being raised to the power of [tex]t[/tex], the function increases. So in this function [tex]y[/tex] also increases as [tex]t[/tex] increases as illustrated in Figure 4. This represents a growth.

Answer:

1. isn't an exponential function

2. growths

3. growths

4. decay

5. growths

Step-by-step explanation:

The exponential functions has the form: y = k1*k2^(k3*t), where k1, k2 and k3 are a constants, and k2>0. Graph of exponential functions always decrease or always increase. To know if a function growths or decay just evaluate the function in 2 points, for example t = 0 and t = 1, and compare their results.

1.

y = 100*(1−12)^x = 100*(−11)^x

Since (-11) is negative, then y is not an exponential function

2.

y(0) = 0.1*(1.25)^(0) = 0.1

y(1) = 0.1*(1.25)^(1) = 0.125

y(1) > y(0) -> growths

3.

y(0) =((1−0.03)12)^2(0) = 1

y(0) =((1−0.03)12)^2(1) = 135.4896

y(1) > y(0) -> growths

4.

y(0) = 426(0.98)^(0) = 426

y(1) = 426(0.98)^(1) = 417.48

y(1) < y(0) -> decay

5.

y(0) = 2050(12)^(0) = 2050

y(1) = 2050(12)^(1) = 24600

y(1) > y(0) -> growths

Answer:is c

Step-by-step explanation:

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