Consider the following circle with center at point O.
Identify one radii, one diameter, and one chord of the circle. Justify your answers.

Final answer:

Using the compound interest formula, Brad's $1,500 will grow to $1,810.69 by the time he turns 21 due to the 6.5% annual growth rate for three additional years.

Explanation:

Calculating Future Value with Compound Interest

Brad's grandmother initially deposited $1,500 in an account that grows at a rate of 6.5% each year. To calculate the future value of this investment when Brad is 21, we'll use the formula for compound interest:

FV = P(1 + r)^n

Where:

FV is the future value of the money after n years.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of years the money is invested or borrowed for.

In Brad's case:

P = $1,500

r = 0.065 (6.5% converted to a decimal)

n = 21 years old - 18 years old = 3 years

Now, we plug these values into the compound interest formula:

FV = $1,500(1 + 0.065)^3

And calculate the future value.

Therefore, if Brad decides to wait until his 21st birthday to withdraw the money, he would have:

$1,500(1 + 0.065)^3 = $1,500(1.065)^3 = $1,500 * 1.207127 = $1,810.69

Brad will have $1,810.69 in his account by the time he is 21 if he waits, which is more than he would have at 18.

Slope of the line passes through (5,10) and (7,12) is 1.

Step-by-step explanation:

Given,

The two points are (5,10) and (7,12).

To find the slope passing through the given points.

Formula

The slope of the line passing through ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Now, putting [tex]x_{1} =5,y_{1}=10, x_{2}=7, y_{2} =12[/tex] we get,

Slope = [tex]\frac{12-10}{7-5}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Hence,

Slope of the line passes through (5,10) and (7,12) is 1.

Answer:

[tex]to \: find \: the \: slope \: of \: the \: line \\ given \: that \: the \: line \: passes \: through \\ (5,

10) \: and \: (7,12) \\

answer \: is \: \: 1

[/tex]

Step-by-step explanation:

[tex]passing \: through \: (5,10) \: and \: (7,12) \\ slope = \frac{y2 - y1}{x2 - x1} \\ here \: y2 = 12 \: \: and \: \: y1 = 10 \\ x2 = 7 \: \: and \: \: x1 = 5 \\ therefore \: \\ slope = \frac{12 - 10}{7 - 5} \\ = \frac{2}{2} \\ = 1[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

3 3/5

Step-by-step explanation:

Just divide 18 by 5 but rather than putting it in decimal form, it should be in fractional form

Thank me later :)

Answer:

3 3/5

Step-by-step explanation:

18/5

Take 18 and divide by 5

It goes in 3 times 5*3 =15

18-15 =3

This goes over the denominator

3 3/5

Answer:

104pi

Step-by-step explanation:

Answer:

1 17/40 m^3

Step-by-step explanation:

Volume = l*w*h

             = 1 9/10 * 1 1/2 * 1/2

Changing the mixed numbers to improper fractions

1 9/10 = (10*1+9) /10 = 19/10

1 1/2 = (2*1+1)/2 = 3/2

1/2 = 1/2

V = 19/10* 3/2*1/2

  =57/40

Changing this back to a mixed number

40/40 + 17/40

1 17/40

Answer:

1 17/40 m³

Step-by-step explanation:

1.9 × 1.5 × 0.5

= 1.425 m³

19/10 × 3/2 × 1/2

= 57/40

= 1 17/40 m³

Answer:

your answer would be 26.99 or 27

Step-by-step explanation:

Hope this helps

Answer:

d=26.9863

Step-by-step explanation:

to find the diameter divide the circumference by 3.14

hope this helps

stay safe

brainliest is appreciated :))

Answer: $553

Step-by-step explanation: 500(1.0016666)^60

500(1.10507451358)

552.537256789

$553

Answer:

Step-by-step explanation:

B: 61

Answer:

5, -2,5,-2,5 Recursive

Answer:

y = -51 ÷ x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.

So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x

K = constant, we have to work this out

-3 = k ÷ 17

-3 × 17 = k

k = -3 × 17

k = -51

k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x

Answer:

5 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

however many weeks the question is asking for just multiply that number by 15

Answer:

15w

Step-by-step explanation:

So, there is a rate. It would be 15w

w=Week.

Since she started with no money at all, it would be simple. 15w.

Hope this helped!

Answer: The radius is 5 units (approximately)

Step-by-step explanation: The area of a sector with central angle X is given as;

Area = (X/360) x pi x r^2

Since the area has been given as 15.71 units, we can input the known values into the formula as follows;

15.71 = (72/360) x 3.14 x r^2

By cross multiplication we now have

(15.71/3.14) = 1/5 x r^2

(15.71/3.14) x 5 = r^2

78.55/3.14 = r^2

25.0159 = r^2

Add the square root sign to both sides of the equation

5.001 = r

The radius is equal to 5 units (approximately)

Answer:

C

Step-by-step explanation:

Answer A does not come out to an even answer.

Answer:

C

Step-by-step explanation:

The Pythagorean theorem only works with right triangle. Seeing that the only right triangle is C the correct answer must be C. If you don't know how to identify a right triangle one of the easiest things to do is that there is a box in the corner and that means it is a right triangle. A right triangle is a triangle in which one of the corners is at at 90 degree angle

Answer the answer is power if 10

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

3^4х = 27^(x-3)

Replace 27 with 3^3

3^4х = 3^3^(x-3)

We know that a^b^c = a^ (b*c)

3^4х = 3^(3(x-3))

Since the bases are the same, the exponents are the same

4x = 3(x-3)

Distribute

4x =3x-9

Subtract 3x from each side

4x-3x = 3x-3x-9

x = -9

Answer:

Step-by-step explanation:

Let n = nickels and d = dimes

n+d = 65

5n+10d = 490

Solve for n:

n = 65 - d

Substitute the equation:

325 + 5d = 490

5d = 165

d = 33

Answer:

-1/2 + -1/2 + -1/2 + -1/2 = -2

Step-by-step explanation:

You open up the parenthesis to get:

-1/2 + -1/2 + -1/2 + -1/2 =

-2

The given sequence follows a geometric pattern, and the common ratio is 0.2. Using the geometric sequence formula, we can find any term in the sequence by substituting the values into the formula.

The given sequence 125, 25, 5, ... follows a geometric pattern where each term is obtained by multiplying the previous term by a common ratio. To find the common ratio (r), we divide any term by its previous term. Let's divide 25 by 125 to find the common ratio: r = 25/125 = 1/5 = 0.2.

Now that we have the common ratio, we can use the formula for a geometric sequence:

aₙ = a₁ × r(n-1)

Here, aₙ represents the nth term, a₁ is the first term, r is the common ratio, and n is the term number. Since the first term (a₁) is 125 and the common ratio (r) is 0.2, we can substitute these values into the formula to find the nth term.

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The rule for the given geometric sequence 125, 25, 5, ... is an = 125 × 5(n-1).

The given sequence is 125, 25, 5, ...

To find the rule using the geometric sequence formula, we need to determine the common ratio. The common ratio is found by dividing any term by its previous term. Let's take the first two terms: 125/25 = 5. So, the common ratio is 5.

The formula for a geometric sequence is given by: an = a¹ × r⁽ⁿ⁻¹⁾, where an is the nth term, a¹ is the first term, r is the common ratio, and n is the position of the term.

Using this formula with the first term (a¹ = 125) and the common ratio (r = 5), we can find the rule for the sequence. Let's find the rule for the third term: a³ = 125 × 5⁽³⁻¹⁾ = 125 × 5² = 125 × 25 = 3125.

Therefore, the rule for the sequence is: aⁿ = 125 × 5⁽ⁿ⁻¹⁾.

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Answer:

WHAT IS THIS QUESTION AHHH BUT 03125

Step-by-step explanation:

Answer:

Probability of 3 or less = 0.8125.

Step-by-step explanation:

This is a binomial probability distribution.

Prob(0 females) =  5C0(1/2)^5 = 0.03125

Prob(1 female) = 5C1 (1/2)^5 = 0.15625

Prob(2 females) = 5C2(1/2)^5 = 0.3125

Prob(3 females) = 5C3(1/2)^5 = 0.3125

Adding these we get 0.8125.

Answer:

Step-by-step explanation:

x = 2 ; y = 4

3x + 2y + 4 = 3*2 + 2*4 + 4

                 = 6 + 8 + 4

                 = 18

Answer:

the picture is blocked on my screen just write it out on my answer

Step-by-step explanation:

Answer:

the theoretical probability is 1/5.

the experimental probability is 3/10.

chances are the experimental probobility will approach the theoretical probobility.

Step-by-step explanation:

since blue is one of five equal sizes, the probobility that it will land on blue is 1/5.

the expiromental probobility is the number of times it landed on blue devided by the number of spins. 15/50. this can be simplified by pulling out a 5, leaving us with 3/10.

last it stands to reason that the more times the spinner is spun the closer the experimental probability will model the theoretical probability.

Answer:

20ft ^2  (squared)

Step-by-step explanation:

We deduct the circle area from the square area but first find out the radius triangle segment the 1/diagonal of the square. To find the hypotenuse h= c=r

h^2 =c = a+ b

h^2 = 8^2+ 8^2

h^2 =√64 + √64

h^2 =√128 = 11.313708499/3 = 3.77123616633

r=  5.65ft or 5.66ft rounded up

Square area formula = L x W = 8ft x 8ft = 64ft^2

Circle area formula=  A=πr2 = (π = 3.14159265359  (3.77123616633x 3.77123616633) = 14.2222222222 x 3.14159265359  = 44.680428851

A = 14.2 x π

A = 44.68ft

64 - 44.68 = 19.32ft^2

The answer must be 20ft ^2 squared.

Answer:

1.

a) 357 inches³ of water more would be required to fill the tank

b) Riley is not correct, the volume of the larger aquarium is 27

times larger than the volume of the smaller on

c) Riley is not correct, the surface area of the larger aquarium is 9

times the surface area of the smaller one

2.

a) There are 8 boxes of office supplies can be packed into

the larger box for shipping

b) The surface area of the shipping box is 567 inches²

Step-by-step explanation:

1.

a) * Lets study the first aquarium:

- The formula for volume is V = l × w × h

∴ It is a rectangular box of dimensions 16 in , 8.5 in , 10.5 in

∴ Its volume = 16 × 8.5 × 10.5 = 1428 inches³

* The full capacity of this aquarium is 1428 inches³

- Riley noticed that it 3/4 full of water, then still can fill with

1/4 to be full

- Why 1/4 because 1 - 3/4 = 1/4

∴ The volume of 1/4 the aquarium = 1/4 × 1428 = 357 inches³

* There are 357 inches³ of water more would be required to fill the tank

b) * Lets talk about the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their volumes will be (3 : 1)³

- Because we will multiply each dimension by 3 and they

are 3 dimensions, that means 3 × 3 × 3 ⇒ 3³

∴ The ratio between their volumes = 27 : 1

∴ Riley is not correct because the volume of the larger aquarium is 27

times larger than the volume of the smaller aquarium

c) * Similar for the surface area of the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their surface area will be (3 : 1)²

- Because we will multiply each dimension by 3 and to get the

surface area we multiply each two dimensions for the six faces

and then add them

∴ The ratio between their surface area = 9 : 1

∴ Riley is not correct because the surface area of the larger aquarium

is 9 times larger than the surface area of the smaller aquarium

2.

a) * Lets think about this situation

- We want to fill some office supplies boxes of side length

4.5 inches inside the shipping box of dimensions 18 in , 9 in , 4.5 in

- That means the volume of the shipping box is how many times

the volume of the office supplies box

∴ The number of office supplies boxes = the volume of shipping box ÷ the volume of the office supplies box

∵ the volume of shipping box = 18 × 9 × 4.5 = 729 inches³

∵ the volume of the office supplies box = 4.5 × 4.5 × 4.5 = 91.125 inches³

∴ The number of office supplies boxes = 729 ÷ 91.125 = 8 boxes

* There are 8 boxes of office supplies can be packed into

the larger box for shipping

b) Look to the Net of the shipping box

- The net has 6 faces shaped rectangles

- Each two faces are congruent

- To find the surface area we will add all the areas of the 6 faces

- Two faces with dimensions 18 in and 9 in

∴ Their areas = 2 (18 × 9) = 324 inches²

- Two faces with dimensions 18 in and 4.5 in

∴ Their areas = 2 (18 × 4.5) = 162 inches²

- Two faces with dimensions 4.5 in and 9 in

∴ Their areas = 2 (4.5 × 9) = 81 inches²

∴ The total surface area = 324 + 162 + 81 = 567 inches²

* The surface area of the shipping box is 567 inches²

Final answer:

The question involves calculating the surface area of a cube, drawing a net of a rectangular prism, and determining how many smaller cubes fit within the larger prism. However, required measurements are missing, making it impossible to provide exact answers to the calculations.

Explanation:

The student is tasked with answering questions related to geometry, specifically involving cubes and rectangular prisms. To find the surface area of the cube-shaped box, one would need the side length of the cube. The formula for the surface area of a cube is SA = 6s², where s is the side length. However, since the side length is not given in the question, this cannot be completed as presented.

To draw a net of a rectangular prism, you would draw six rectangles that correspond to the faces of the prism. Each rectangle would be labeled with its corresponding dimensions. Again, the specific dimensions of the container are not provided in the question.

Finally, to determine how many boxes can be packed into the larger container, you would need the volume of both the boxes and the container. The volume of each is calculated by multiplying the length, width, and height for rectangular prisms, or raising the side length to the third power for cubes. Then, divide the volume of the container by the volume of one box to find the number of boxes that can fit inside, assuming no wasted space. Without the actual dimensions, this calculation cannot be completed.

Answer:

x = ±i8/7

Step-by-step explanation:

49x^2 +64 = 0

Subtract 64 from each side

49x^2 +64-64  = 0-64

49x^2 = -64

Divide by 49

49x^2/49 =-64 /49

x^2 = - 64/ 49

Take the square root of each side

sqrt(x^2) = ±sqrt(- 64/ 49)

x = ±sqrt(- 64/ 49)

We know sqrt( ab/c) = sqrt(a) sqrt(b)/sqrt(c)

x = ±sqrt(- 1) sqrt(64)/( 49)

We know that the sqrt(-1) = i

x = ±i8/7

Answer:

b or c

Step-by-step explanation:

being that the answers are the same it should be 100 meters/second in the same direction. you will take the initial velocity, 1000, and subtract the new velocity, 500, and divide it by time. the direction deals with acceleration and if it is flying strait with no forces acting on it to move it, it will remain strait.

Answer:

810 square meters

Step-by-step explanation:

I did 12 x 15 x 18 and got 3240

then I divided 3240 by 4 because there are 4 sides of it which gave me 810

Hope This helps!

Answer:

you mean this (5x-5)=(2x+10)right ? if yes X=5

Step-by-step explanation:

if this (5x-5)+(2x+10)=0 so X= - 5/7

Answer:7x+5

Step-by-step explanation:Add together your x’s then add together -5 and 10 to get 7x+5