A parent deposits $2000 into their child's bank account. The account earns 4%
interest each year. Write an explicit function that represents the situation. *
A(t) = 2000(1.04)-1
A (t) = 2000(4)'
A(t) = 2000(1.04)'
A(t) = 2000 + 4t
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Answer:

Step-by-step explanation:

3

Following are the simplification to the given equation:

Given:

[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]

To find:

simplify=?

Solution:

Using formula:

[tex]\to (a^2-b^2)= (a+b)(a-b)[/tex]

[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]

In the numerator part common the value 4x and in the denominator we common the value 2 then:

[tex]\to \frac{4x^2+ 4x}{2x^2-2}= \frac{4x(x+ 1)}{2(x^2-1)}\\[/tex]

               [tex]= \frac{4x(x+ 1)}{2(x^2-1^2)}\\\\= \frac{4x(x+ 1)}{2(x-1)(x+1)}\\\\= \frac{4x}{2(x-1)}\\\\= \frac{2x}{(x-1)}\\\\[/tex]

Therefore, the final answer is "[tex]\frac{2x}{(x-1)}\\\\[/tex]"

Learn more about the Simplify:

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The correct answer is (2 x)/(x - 1).

To simplify.

(4 x²+ 4 x)/(2 x²-2) = 4 x(x + 1)/2(x² - 1)

By this formula

(x² - 1²) = (x + 1)(x - 1).

4 x(x + 1)/2(x + 1)(x - 1) = (2 x)/(x - 1).

Therefore, simplification of (4 x²+ 4 x)/(2 x²-2) is  (2 x)/(x - 1).

Learn more about simplification here:

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Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]

Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]

The probability of getting a blue marble first is:

[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]

And the probability of getting another blue is:

[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]

So, the probability of getting two of the same color is:

[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

Answer:

The number of chains in each fileiras = 28.

Step-by-step explanation:

Total number of chains = 224

Number of fileiras = 8

Number of chains in each fileiras is given by the divison of total number of chains to the number filerias.

[tex]\frac{224}{8}\\\\=28[/tex]

Step-by-step explanation:

Perimeter=8l

30cm=8l

l=30/8=3.75cm

Answer and Step-by-step explanation:

An octagon has 8 sides in total. The perimeter of a shape is the sum of all sides added together.

To find the length of each side, we divide the perimeter by the amount of sides.

30 ÷ 8 = 3.75

The answer is 3.75 centimeters.

#teamtrees #PAW (Plant And Water)

Answer:

280.8 pounds

Step-by-step explanation:

Original weight of pig = 54 pounds

Percentage increase in weight = 420%

Current weight of pig = original weight + 420% of original weight

= 54 + 420% of 54

= 54 + 420/100 * 54

= 54 + 4.2 * 54

= 54 + 226.8

= 280.8 pounds

Current weight of pig = 280.8 pounds

Answer:

2464 yd²

Step-by-step explanation:

Use the circle circumference formula: 2πr

2·[tex]\frac{22}{7}[/tex]·r=176

[tex]\frac{44}{7}[/tex]r=176

r=176·[tex]\frac{7}{44}[/tex]

r=28

Area of circle formula: πr²

[tex]\frac{22}{7}[/tex]·r²

[tex]\frac{22}{7}[/tex]·28²

[tex]\frac{22}{7}[/tex]·784

=2464 yd²

Answer:

-4 is the correct answer

Answer:

y=18

Step-by-step explanation:

equation:y=3x -7

x=7 then y =?

substitute the vale of x in the equation

y=3x-7

y=3*7-7

y=21-7

y=18

therefore the value of y corresponds to 7 is 18.

Answer:

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

y2 = 7

y1 = 2

x2 = 6

x1 = - 5

There is no particular reason for choosing which one is (x2,y2) and (x1,y1) The slope would turn out to be the same which ever way you tried it.

slope = (7 - 2)/(6 - - 5)   Notice the double minus. One of the minus symbols belongs to the formula and the other belongs to the 5

slope = 5/(6 + 5)

slope = 5/11

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

The slope of a line that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1,y_1)=(-5,2),\\(x_2, y_2)=(6,7)[/tex]

The slope of the line, [tex]m[/tex], that passes through these points is equal to:

[tex]n=\frac{7-2}{6-(-5)}=\frac{5}{6+5}=\boxed{\frac{5}{11}}[/tex]

Answer:

x = -1/2, x = -5    OR    x = -0.5 and x = -4

Step-by-step explanation:

I’ll just put a picture, I can’t fully explain digitally.    ;D

Answer: 15 m

Step-by-step explanation:

Given

The area of the swimming pool is [tex]A=45\ m^2[/tex]

Width of the pool is [tex]w=3\ m[/tex]

Suppose l is the length of the pool

So, the area is given by the multiplication of length and width

[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]

So, the length of the pool is 15 m.

Answer:

2 > w ≤ 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

An equation is needed to evaluate h(0).

When you evaluate h(0), you find the y-intercept of the graph because the independent variable inside the brackets, probably x or t, equates to 0.

The problem is needed for its context to be explained.

Although in most math problems, when h(x) form is used, h usually represents height.

I assume h(0) is the initial height, maybe the height that the rocket was launched or the height that the person who threw the ball is.

Answer and Step-by-step explanation:

Scale factor of 4

x, y: (3, 10)

Translate 3 units right, up 10 units.

#teamtrese #PAW (Plant aNd Water)

Answer:

10.3 units

Step-by-step explanation:

coordinate points are

T(2, -2) =(x1 , y1)

W(-7, 3) =(x2 , y2)

distance formula = [tex]\sqrt{(x2 -x1)^2 + (y2 -y1)^2}[/tex]

=[tex]\sqrt{(-7-2)^2 + {3-(-2)}^2[/tex]

=[tex]\sqrt{(-9)^2 + (3+2)^2[/tex]

=[tex]\sqrt{81 + 5^2[/tex]

=[tex]\sqrt{81 + 25[/tex]

=[tex]\sqrt{106[/tex]  

=10.29563014

=10.3 (after converting it to the nearest tenth)

Answer:

S(t) = 1000(0.729)^t

Step-by-step explanation:

S(t) = 1000(0.9)^(3t)

S(t) = 1000((.09)^(3))^t

S(t) = 1000(0.729)^t

Answer:

o really sis/bro hsgsmhsndjd

Answer:

3x=89.97

 x=89.97/3

 x=29.99 -- price of one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I might be wrong. I hope it helps:)

Answer:

-25/3

Step-by-step explanation:

Answer:

a+52/3=9

a + 52/3 - 52/3 = 9 - 53/3

a=[tex]\frac{27- 53}{3}[/tex]

a= [tex]\frac{26}{3}[/tex]

Step-by-step explanation:

Answer:

1) -5

2) 5

3) -4

4) 7

5) 3

Step-by-step explanation:

1) -20 divided by -4

2) -2 plus 7

3) 20 divided by 5

4) -2 plus 9

5) 20 minus 17

Answer:

-2

Step-by-step explanation:

negative times positive equal negative so

-1×2= -2

Answer:

[tex] \large{ \tt{✺ \: EXPLANATION}} : [/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER: \boxed{1}}}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the remaining two sides.

The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.

Let the hypotenuse be b Hence:

b² = 3² + 5²

b² = 9 + 25

b² = 34

b = 5.83 feet

Answer:C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] ← slope of line B

Answer:

y ≤ 1/2x - 1

y ≤ -2x + 4

Answer:

Step-by-step explanation:

Vertically opposite angles are equal

8x + 2 = 7x + 11

Subtract 2 from both sides

8x    = 7x + 11 - 2

8x  = 7x + 9

Subtract 7x from both sides

8x - 7x = 9

x = 9

Answer:

-7 + 2 ___ 3 + (-9)

lets break this up

-7+2=-5

3+(-9) or 3-9 = -6

so the correct one is...

B: <