Steve inherited $100.000 from his grandmother and deposited it into an account that compounds interest monthlv at a rate of 4.8%. Each month he withdraws $500 from the account. How long will it take him until the account has a balance of $0? Round your answer to the nearest tenth of a year.

The length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

In the center of a circle, equal chords subtend equal angles.

The chord is divided in half by the radius drawn perpendicular to it.

So, the length of the radius of the circle is:

The formula for the circle's general equation is: (x - h)² + (y - k)² = r²

Where, the center is (h, k) and the radius is represented by r.

The equation we have: x² + y² = 8

Then, r² = 8

Taking square root as follows:
r = √8

r = √2*2*2

r = 2√2

Therefore, the length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.

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Correct question:
What is the radius of the circle whose equation is x² + y² = 8?

A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

What is a Parent Function?

A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.

The most basic parent function is called a constant function. A constant function is one such that y = b, where b is the constant value. A constant function creates a straight horizontal line that will intersect the y -axis.

Hence the answer is A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

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The length and width of the rectangle can be 30 and 2 inches, 1 inches and 60 inches and 12 inches and 5 inches.

A rectangle is a quadrilateral with opposite sides equal to each other. Opposite sides of a rectangle is equal to each other.

A rectangle has the area of 60 in².

The dimension of the rectangle can be as follows:

area of a rectangle = lw

where

Therefore,

60 = 30 × 2

60 = 1 × 60

60 = 12 × 5

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Answer:    y=-1/2x+4

Step-by-step explanation:

Answer:

It is common to dilate photos to fit the space that you want it to fit. In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence. In architecture.

Step-by-step explanation:

Answer: i think its 58.9997

Step-by-step explanation:

Answer:

x ≈ 15.62

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 12² + 10² = 144 + 100 = 244 ( take square root of both sides )

x = [tex]\sqrt{244}[/tex] ≈ 15.62 ( to the nearest hundredth )

in essence, find "x" when y = 196

[tex]y = \cfrac{1}{25}x^2\qquad \stackrel{\textit{when y = 196}}{196=\cfrac{1}{25}x^2}\implies (196)(25)=x^2 \\\\\\ \sqrt{(196)(25)}=x\implies {\Large \begin{array}{llll} \stackrel{\frac{m}{h}}{70}=x \end{array}}[/tex]

This is 224's prime factorization. This is the method of repeated division, and the prime factorization of 224 is 2 2 2 2 7.

Image for number 2. Show that the prime factorization of 220 is the same when 220 is multiplied by 2 times 110 or 10 times 22. What numbers might possibly be in the next form when numbers? Give two or three responses.

Therefore, 22 51 111, where 2, 5, and 11, can be expressed as 220's prime factorization.

220 has three prime factors, which are 22; 51; and 111. Here, the pair does not contain the prime factor 5. Consequently, 220 is not a square perfectly.

Consequently, the first ten multiples of 220 are as follows: 220, 440, 660, 880, 1100, 1320, 1540, 1760, 1980, and 2200.

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The player has a total plate of 1985 plate appearances (optionD)

Addition is a way of combining things and counting them together as one large group. Addition is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum. For example if there a 5oranges, 6 bananas and 9 pineapple Ina basket. The total fruit in the basket is 5+6+9= 20 fruits

The baseball player has 746 plate appearances in his first year and 727 plate appearances in the second year and 512 in his third year.

The total plate appearances = 746+727+512=1985 plate appearances

Therefore the plate appearance the player had in three years is 1985 plate appearances.

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Factor the expression using the GCF 24y+88x

24y+88x

GCF is 8:

8(3y + 11x)

We isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

According to the question,

We have the following information:

Isolating a variable by dividing each side of the equation in which one side does not contain any variable.

Now, in this case, it is clearly stated that the first step to isolate the variable from the equation is to perform division.

Now, this can be done as follows in the given equation:

2x = 14

Now, the variable x can be isolated by dividing both sides of the equation by 2:

x = 14/2

x = 7

Hence, we isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

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The exponential function showing the relationship between t and y is y = 310000(1.048)⁺

From the question, we have the following parameters that can be used in our computation:

Initial population = 310000

Rate of growth = 4.8%

These parameters can be represeted as

a = 310000 and r = 4.8%

An exponential function is represented as

y = a(1 + r)⁺

Substitute the known values in the above equation, so, we have the following representation

y = 310000 (1 + 4.8%)⁺

Evaluate

y = 310000(1.048)⁺

Hence, the function is y = 310000(1.048)⁺

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Answer:

20

Step-by-step explanation:

197 rounded to the nearest 10 is 200.

10.3 rounded to the nearest 10 is 10.

So, 200 ÷ 10 = 20

Answer:

20

Step-by-step explanation:

We are rounding to the nearest 10.

197≈200

10.3≈10

After you have rounded the numbers, The equation simplifies a whole bunch.

200/10=20

The equation of Kevin's scenario is 4x + 2y = 45

From the question, we have the following parameters

Represent the buckets of popcorn with x and the number of drinks with y

So, we have the following equation

4x + 2y = total amount

This gives

4x + 2y = 45

See attachment for the graph

An absolute function is represented as

y = a|x - h| + k

Where the vertex is (h, k)

So, we make use of the following function

y = 2|x - 3| + 5

See attachment 2 for the graph

Here, we are to make use of any equation

A linear equation is represented as

y = mx + b

Where

slope = m

y-intercept = b

So, we make use of

m = 2 and b = 3

This gives

y = 2x + 3

When transformed 2 units up and 3 units down, the resulting equation is

y = 2x + 2 - 3

Evaluate

y = 2x - 1

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3/4 add to 5/7 is 1 and 13/28

The rate of change for the given equation is 4.

The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to coordinates of x can found out as

Δy/ Δx = (y2 - y1 )/ (x2 - x1).

Given an equation, y = 4x + 100

Slope = 4

Hence, The rate of change for the given equation is 4.

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Answer:

a) 121 feet ; b) 5 seconds

Step-by-step explanation:

maximum height = y coordinare of vertex

x coordinate = -72/2 * -16

-72/-32 = 9/4 = 2.25

y coordinate =

-16(2.25)^2 + 72(2.25) + 40

-81 + 162 + 40

-81 + 202 = 121 feet

The ball hits the ground when y = 0

-16t^2 + 72t + 40 = 0

-2t^2 + 9t + 5 = 0

discriminant = 81 -4 (-2 * 5) = 81 -4(-10) = 81 + 40 = 121

We are searching only positive value

t = (-9 -11)/-4 = -20/-4 = 5 seconds

Answer:

y=-[tex]\frac{5}{3}[/tex]x-4

Step-by-step explanation:

find the slope m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{1-6}{-3+6}[/tex]

m=-[tex]\frac{5}{3}[/tex]

Use the slope and one of the points to solve for the y-intercept

y1=mx1+b

6=-[tex]\frac{5}{3}[/tex](-6)+b

6=10+b

b=6-10

b=-4

plug the values for m and b into y=mx+b

y=-[tex]\frac{5}{3}[/tex]x-4

Answer:

First find the slope.

m=y2-y1 / x2-x1

m= 1-6

-3-(-6)

m=-5

-3+6

m=-5

3

m= -1.6

y-y1=m(x-x1)

y-6= -1.6(x-(-6))

y-6= -1.6x+6

Answer:

x

Step-by-step explanation:

x

Answer:

Step-by-step explanation:

the answer is 8

Answer: Horizontal Translation

Step-by-step explanation:

Solution of the system of linear equation 3a + 6b = 45 , 2a -2b = -12 is equal to a = 1 and b =7.

As given in the question,

System of linear equation are:

3a + 6b = 45 __( 1 )

2a - 2b = -12 __(2 )

Solution of the linear equation by elimination method is given by:

Multiply ( 2 ) by 3 and add it to (1) we get,

3a + 6b = 45

6a - 6b = -36

9a         = 9

⇒ a = 1

Substitute the value of a = 1 in (1) we get,

3( 1 ) + 6b = 45

⇒ 6b = 42

⇒ b = 7

Therefore, the solution of the system of linear equation is a = 1 and

b =7.

The complete question is :

What is the solution (a, b) to this system of linear equations?

3a+6b = 45 ,  2a-2b = -12

a. (-27, 6)

b. (-1, 7)

c. (1, 7)

d. (27, -6)

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Answer step-by-step explanation:

Step 1: Write out the cross T = tall, t = short Tt x Tt.

Step 2: Draw 2 by 2 Punnett square.

Step 3: Write the alleles for parent 1 on.

the left side of the Punnett square.

Step 4: Write the alleles from parent 2.

above the Punnett square.

Answer:

[tex]2 \sqrt[3]{3} [/tex]

Step-by-step explanation:

[tex]24 {}^{ \frac{1}{3} } [/tex]

[tex] \sqrt[3]{24} [/tex]

[tex] \sqrt[3]{8 \times 3} [/tex]

[tex] \sqrt[3]{8} \times \sqrt[3]{3} [/tex]

[tex] \sqrt[3]{2 {}^{3} } \times \sqrt[3]{3} [/tex]

[tex]2 \times \sqrt[3]{3} [/tex]

[tex]2 \sqrt[3]{3} [/tex]

Answer:

[tex]f(h(x)) = ( \sqrt{x} - 3)^{2} + 4[/tex]

[tex]f(h(x)) = (x - 9) + 4[/tex]

[tex]f(h(x)) = x - 5[/tex]

Step-by-step explanation:

h(x) became x for function of f(x)

Two triangles are congruent if they satisfy SSS or ASA or SAS or AAS or RHS criteria.

What is the meaning of congruent triangles?

If two triangles have both the same shape and the same size then it is said that the two triangles are congruent. In other words, two triangles are congruent if they are copies of each other.

We can prove that two triangles are congruent if they satisfy any one of the following criteria:-

SSS (side side side ):- If three sides of one triangle are equal to the corresponding three sides of the other triangle.

SAS ( side angle side ):- If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle.

ASA ( angle side angle ):- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle.

AAS ( angle angle side ):- If two angles and a none included side of a triangle are equal to the corresponding angles and side of another triangle.

RHS (right hypotenuse side ):- If the hypotenuse and one side of the right triangle are equal to the corresponding side and the hypotenuse of another triangle.

Hence, two triangles are congruent if they satisfy any one of the criteria of congruence (SSS, ASA, SAS, AAS or RHS).

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Using doubles plus one fact the sum of 8 + 8 + 1is equal to 17 it is done by simply adding 1 to the given number.

Doubles plus one fact is used to add numbers which are next to each other.

Doubles plus one fact is simply done by doubling the number and adding one to it.

The sum of 8 + 8 can be determined by using doubles plus one fact as:

Simply add 1 in 8 + 8 + 1 to get the result required.

8 + 8 + 1 = 17

Therefore by using doubles plus one fact the sum of 8 + 8 + 1 is equal to 17.

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Answer:

-3 <-1

-3 is less than -1.

The graph of f(x)=|x| and m(x)=|x+1| is 1 unit left translation

From the question, we have the following function that can be used in our computation:

f(x) = |x|

m(x) = |x + 1|

First, we have the transformation to be:

From f(x) = |x| to m(x) = |x + 1|

This means the function is translated left by 1 unit

So, we can conclude that

The graph function is translated left by 1 unit

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