James wants to have earned $7,592 amount of interest in 16 years. Currently he finds that his
annual interest rate is 9.04%. Calculate how much money James needs to invest as his principal in
order to achieve this goal..
I=p.r.t
Solve for p
r = 8.63% or .0863
t = 24 years
I = $8613
Round answers to the nearest hundredth (two decimal places). The answer will not have a dollar
sign, and be rounded to the nearest cent.
I

i believe this is correct hope it helps

The product of the given equation for the fourth root is 7.

The 4th root of an amount is the number that, when multiplied four times by itself, yields the original number.

For, the given question;

= ⁴√7 × ⁴√7 × ⁴√7 × ⁴√7

This equation can be written as;

=(⁴√7)⁴

Further writing the fourth root in terms of fraction;

= (7)∧(1/4)×4

Both power will cancel each other.

= 7

Therefore, the product of the fourth root is found as 7.

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The correct question is-

What is the following product?

⁴√7 × ⁴√7 × ⁴√7 × ⁴√7

Answer:

[tex](g \circ f)(x) = x^2-10x+25[/tex]

Step-by-step explanation:

Given:

[tex]\begin{cases}f(x)=-x+7\\g(x)=x^2-4x+4 \end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

The composite function (g o f)(x) means to substitute the function f(x) in place of the x in function g(x).

[tex]\begin{aligned} \implies (g \circ f)(x) & = g\left[f(x)\right]\\& = g(-x+7)\\& = (-x+7)^2-4(-x+7)+4\\& = (-x+7)(-x+7)+4x-28+4\\& = x^2-14x+49+4x-28+4\\& = x^2-14x+4x+49-28+4\\& = x^2-10x+25\end{aligned}[/tex]

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Answer:

x² - 10x + 25

Step-by-step explanation:

The given information is,

→ f(x) = -x + 7

→ g(x) = x² - 4x + 4

The equation we form is,

→ (gof)(x)

→ g[f(x)]

→ f(x)² - 4f(x) + 4

Let's solve the problem,

→ f(x)² - 4f(x) + 4

→ (-x + 7)² - 4(-x + 7) + 4

→ x² - 14x + 49 + 4x - 28 + 4

→ x² - 10x + 25

Hence, answer is x² - 10x + 25.

Answer:

1. their motor neurons are damaged,so their muscles don't react/move causing the person to hit the tree

Answer: Addition

Step-by-step explanation:

x-7 = 15

x-7+7 = 15+7 ==> Addition

x=15+7

x=22

Answer:

I have no clue

Answer:

An open circle indicates "less than" or "greater than," while a closed circle indicates "greater than or equal to" or "less than or equal to". This number line includes values that are less than or greater than or equal to .

Step-by-step explanation:

Which means it would be B. Or D.

Answer:

±3

Step-by-step explanation:

4 - 1 = 3

1 - 4 = -3

Either way you subtract them, the answer is still 3, whether negative or positive.

Answer:

36

Step-by-step explanation:

Each time it goes up it adds the next highest odd number.

1

+3

4

+5

9

+7

16

+9

25

And so we can reasonably assume that the next number in the sequence will be the previous number (25) plus the next highest odd number (11). This means that the next number in the sequence is most likely 36.

Answer:

Ans is 36 ...

Step-by-step explanation:

Well,

lets add these number with odd number

1

3+1=4

5 + 4= 9

7+ 9= 16

9 + 16=25

11 + 25 = 36.........

Hope you will get it.

The time Emma should take for the run must be less than 15 minutes to bear her previous record.

Emma's previous record was 1 hour and 10 minutes. This is equivalent to

60+10 minutes equals 70 minutes.

She already has run 55 minutes;

So, let us consider the remaining time, x, added to 55, must be less than 70 to overcome her previous time:

x + 55 < 70

The inequality is obtained.

Subtract 55 from each side:

x + 55-5 < 70-55

x < 15

Therefore, the remaining time of the run by Emma must be less than 15 minutes to beat her previous record.

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The position of the stadium, given the data is 60 Km east and 10 Km south

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

With above formula, we can determine the position of the stadium. Details below

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 120 × 1/2

Distance = 60 Km east

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 60 × 1/6

Distance = 10 Km south

Thus, we can conclude that the position of the stadium is 60 Km east and 10 Km south

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Answer:

I think 12 minutes

Step-by-step explanation:

Answer: x*y/2

Step-by-step explanation:

x*y is the product of x and y.

1/2 * x* y is half the product of x and y.

Answer: x*y/2

Answer:

(-2 , 0)

Step-by-step explanation:

The solution to this system of equations is the x and y values where the two lines cross.  That is where x is -2 and y is 0.  You can check/verify by putting these x and y values into the original equations.

The G.P.A of the student with the given grades is 2.7875

We are told that the grades that the student had are as follows;

2.8 in a 5 credit math's course

2.4 in a 3 credit music course

3.1 in a 5 credit chemistry course

2.9 in a 5 credit journalism course

Thus, the G.P.A can be calculated as;

[(2.8 * 5) + (2.4 * 3) + (3.1 * 5) + (2.9 * 5)]/(5 + 3 + 5 + 5)

= (14 + 7.2 + 15.5 + 7.9)/16

= 44.6/16

= 2.7875

Thus, we conclude that the G.P.A of the student with the given grades is 2.7875

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The equivalent form of the compound inequality -22 > -5x - 7≥-33  is  -22 > -5x - 7 and -5x - 7≥-33

Inequality:

A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals the existence of an inequality when one of the values is less than, larger than, or equal to the value on the opposite side of the equation.

Given inequality is -22 > -5x - 7≥-33

The equivalent inequality is -22 > -5x - 7 and -5x - 7≥-33

Therefore,The equivalent form of the compound inequality -22 > -5x - 7≥-33  is  -22 > -5x - 7 and -5x - 7≥-33.

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The supplied statement indicates that the angle of elevation will be = -75 feet.

The term angle of elevation refers to the angle between the horizontal and an object. The line of sight of an observer would be over the horizontal. The term angle of depression refers to the angle between the horizontal and an item. The line of sight of an observer would fall below the horizontal.

"rise over run" is an easy-to-remember equation for calculating a change in elevation as a decimal, which means the rise (the change in vertical distance) divided by that of the run (the change in horizontal distance). As an example, suppose the increase is two and the run is six. So you'd multiply 2 by 6 (or 2/6) to get.

Given The elevation of a sunken ship =  120 feet

the elevation of a submarine  = 5/8

So,

Your elevation will be given by employing the MULTIPLICATION OPERATION.

(5/8) x -120 feet

= -75 feet

The supplied statement indicates that the angle of elevation will be = -75 feet.

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The random variable x, which represents the number of defective cameras in the sample, is x = 0, 1, 2

A random variable is a variable with an unknown value or a function that gives values to each outcome of an experiment. A random variable might be discrete (with discrete values) or continuous (with continuous values) (any value in a continuous range).

The box contains two malfunctioning cameras.

The random variable, x, represents the sample space for the number of malfunctioning cameras that can be chosen;

The outcomes are:

Both cameras are faulty; x = 2

One is flawed, one is not; x = 1

Both cameras are in good working order; x = 0

This defines that the random variable , x = 0, 1, 2

The random variable x, which represents the number of defective cameras in the sample, is  x = 0, 1, 2

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I understand that the question you are looking for is:

Suppose that a box contains 6 cameras and that 4 of them are defective. a sample of 2 cameras is selected at random. define the random variable x as the number of defective cameras in the sample. ( round to two decimal places when needed.)

n = 1 is a counterexample for both the given equations.

Here, we are given two equations, let us look at them one by one-

a. (n + 5) / 5 = n + 1

let us take n = 1

the, (1 + 5) / 5 = 1 + 1

6/ 5 = 2

This equation does not hold as 6/5 ≠ 2. Thus, n = 1 doesn't satisfy the given equation and hence is a counterexample.

b. (n + 4)² = n² + 4²

Let us take n = 1

(1 + 4)² = 1² + 4²

5² = 1 + 16

25 = 17

Again, this equation does not hold as 25 ≠ 17. Thus, n = 1 doesn't satisfy the given equation and hence is a counterexample.

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Omar runs 0.9577 miles each morning .  

It is given that area of the circular park is .02 square miles .

Using area formula , we get

               0.02 = πr²

                0.02 = 3.14r²

                0.0063 =  r²

                0.079 = r

Omar run each morning = 6 × Circumference of circle

                                        = 6 × 2πr

                                        = 12 × 0.079

                                        = 0.9577 miles

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The correct option for the function in this problem is:

D- An exponential function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was 0.9 times its value 1 year before.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

For this problem, during each 1 -year period after the equipment was purchased, the value of the equipment at the end of the period was 10% less than its value at the beginning of the period, hence r = 0.1 and the equation is:

[tex]A(t) = A(0)(1 - 0.1)^t[/tex]

[tex]A(t) = A(0)(0.9)^t[/tex]

Which means that option D is correct.

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Option D) is the correct option. That is the volume of the sphere is

3054 mm³.

The formula for the volume of the sphere is given as :

     V = [tex]\frac{4}{3}\pi r^{3}[/tex]

where, r = radius of the sphere

           V = volume of the sphere

According to the question we have been given that

          radius of the sphere, r = 9mm

Putting the required value in the above formula we get

                   [tex]V = \frac{4}{3} \pi 9^{3} \\ = \frac{4}{3} \ (\frac{22}{7} ) (729) \\[/tex]

                V = 3054.85 mm³ ≈ 3054 mm³

Hence the volume of the sphere is 3054 mm³. That is option D) is correct.

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Radius of a quarter circle is 2  then area is the π

Area of quarter circle is [tex]= (A = \pi r^2/4)[/tex]

A circle is a locus (collection) of points that are a defined distance apart from one another. The fixed point and fixed distance are referred to as the "center" and "radius," respectively. A quarter-circle is one-quarter of a circle. As a result, the area of a quarter circle is one-fourth of the size of a full circle.

A quarter circle is the area (or part) created by two perpendicular radii and one-fourth of the circumference of a circle. This is also known as a circular quadrant. For example, if a circle is divided into four equal pieces, each half is a quarter circle (or) a quadrant.

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Answer:

[tex]f(x)=-|x-3|+7[/tex]

Step-by-step explanation:

The parent function of an absolute function is the modulus function:

[tex]f(x)=|x|[/tex]

Graph of Modulus function:

(see 2nd attachment)

[tex]f(x)=|x|=\begin{cases} \textsf{\:\:\:$x$, \quad if $x\geq 0$}\\\textsf{$-x$, \quad if $ x < 0$} \end{cases}[/tex]

Its vertex is at the origin (0, 0).

Its line of symmetry is x = 0.

It opens upwards.

Given information:

The axis of symmetry is the x-value of the vertex of an absolute function. 

The y-value of the range is the y-value of the vertex of an absolute function.  

Therefore, the vertex of the absolute function f(x) is (3, 7).

Graphing

To find the equation of the absolute function, work out the series of transformations that take the parent function to the given function.

As the function f(x) has a range of (-∞, 7), it opens downwards.  Therefore, the parent function has been reflected in the x-axis:

[tex]\implies -f(x)=-|x|[/tex]

As the function f(x) is symmetric about the line x=3, the parent function has been translated 3 units to the right:

[tex]\implies -f(x-3)=-|x-3|[/tex]

Finally, as the highest y-value of the function is y = 7, the y-value of its vertex is y = 7.  Therefore, the parent function has been translated 7 units up:

[tex]\implies -f(x-3)+7=-|x-3|+7[/tex]

Therefore, the equation of the absolute function with the given parameters is:

[tex]f(x)=-|x-3|+7[/tex]

Answer:3/8

Step-by-step explanation: ok  so go to calculator soup and go to calculators then go fractions it's the first one then click on a thing that says fractions then type in problem and show answer hope this helps and remember your awesome and have great day and the name is kirsten michelle baker.

Based on the bisection of line BC by point A, the value of x is 10/3

The given parameters are:

Because the point A bisects BC, then

BA = AC

Substitute the known values in the above equation

So, we have

6x - 3 = 3x + 7

Collect the like terms

6x - 3x = 3 + 7

Evaluate the like terms

3x = 10

Divide both sides of the equation by 3

x = 10/3

Hence, based on the bisection of line BC by point A, the value of x is 10/3

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Answer:

Take the root

Step-by-step explanation:

Area of the square equal

[tex] {x}^{2} [/tex]

Then the side length of the pictures equal

[tex] \sqrt{71.4 } [/tex]

The result will be 8.44