1

suppose you deposit $1,500 in a savings account that pays interest at an annual rate of 5%. if no money is added or withdrawn from the account, answer the following questions.
a. how much will be in the account after 4 years?
b. how much will be in the account after 17 years?
c. how many years will it take for the account to contain $2,000?
d. how many years will it take for the account to contain $2,500?
a. after 4 years, the amount in the account will $
(do not round until the final answer. then round to the nearest cent as needed.)

If the data values are as shown in the picture I have attached, then the following should help.

Answer: 226.56  m²

Step-by-step explanation:

  We need to find the area of three rectangles and two triangles.

    The triangles: 34.56 m²

A = [tex]\frac{B*H}{2}[/tex]

-> Since they are both congruent, we will skip dividing by two

A = B * H

A = 7.2 * 4.8

A = 34.56 m²

   The rectangles: 192 m²

A = L * W

-> We have two that are congruent, and one that is not

A = 10 * 6 * (2, since there are two)

A = 120 m²

-

A = L * W

A = 7.2 * 10

A = 72 m²

-

72 m² + 120 m² = 192 m²

   Total surface area:

34.56 m² + 192 m² = 226.56  m²

Answer:

only C is a function cause a function has only 1 same value.

Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).

This is the total distance of all the sides in a shape. Due to this, the general formula is:

8+10+10= 28 feet.

Note: This question is incomplete because the graph is missing; here is the graph:

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The theoretical probability =[tex]\dfrac{5}{9}[/tex],  The experimental probability  = [tex]\dfrac{5}{12}[/tex]

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

The sample will be ={1,2,3,4,5,6,7,8,9}=9

favourable outcomes={1,3,5,7,9,}=5

The theoretical probability of spinning and odd number = [tex]\dfrac{5}{9}[/tex]

As she spends the spinner 12 times

The experimental probability = [tex]\dfrac{5}{12}[/tex]

Hence the theoretical probability =[tex]\dfrac{5}{9}[/tex],  The experimental probability  = [tex]\dfrac{5}{12}[/tex]

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Answer:

The theoretical probability of spinning an odd number is equal to 5/9 The experimental probability of spinning an odd number is equal to 2/3. Therefore, the theoretical probability of spinning an odd number is less. than the experimental probability of spinning an odd number.

if you could give me brainliest i would greatly appreciate it.

Answer:

The answer is D

Step-by-step explanation:

If you use. MAD then all you have to do is multiply add then divide so the 1/4 +1/16 +. 1/64 + 1/256 = 1/3 so round it and. its 1/3 (1/4)

Answer: choice d

Step-by-step explanation: i asked my mom :/

[tex]w = 12.8 \: ft[/tex]

[tex]l = 4 \: ft[/tex]

[tex]v = 711.68 \: {ft}^{3} [/tex]

The height of the given rectangular prism.

[tex]v = lbh[/tex]

[tex]12.8 \times 4 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]51.2 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]h = \frac{711.68}{51.2} [/tex]

[tex]h = 13.9 \: ft[/tex]

Therefore, the height of the given rectangular prism is 13.9 feets.

Answer:

should be 6cm

Step-by-step explanation:

if you are looking at a cube

Answer:

6 cm 2

Step-by-step explanation:

Surface area of a cube then 1 x 1 x 1 x 6 (6 faces )

Answer:

8 & 1/3 yards equals 25 feet

The volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed

From the question, we are to determine the volume of the cone

The volume of a cone can be calculated by using the formula,

V = 1/3 πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

h = 2.5 in

r = 5 in

and π = 3.14

Putting the values into the formula, we get

V = 1/3 × 3.14 × 5² × 2.5

V = 65.42 in³

Hence, the volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed

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Answer:

6

Step-by-step explanation:

Only (c) makes sense.  The game draws people, which in turn means more cars and heavier traffic in the surrounding area.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.  The value of x is 10.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

The angle of a rectangle is always 90°, Also, the sum of the ∠CFD and ∠DFE is ∠CFE which is an angle of the rectangle CDEF. Therefore, we can write,

∠CFD + ∠DFE = 90°

6x + 3x = 90°

9x = 90°

x = 10

Hence, the value of x is 10.

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Answer:

-x +x^ + 1

Step-by-step explanation:

s(x) - r(x) = 2x + 1 - ( - x^ + 3 x )

2x + 1 + x^ - 3 x

2x - 3x + x^ + 1

-x + x^ + 1

Answer:

if it is the area your talking about, but if it is the perimeter its 54

Step-by-step explanation:

Answer:

x = 2, y = 3

Step-by-step explanation:

5x – 4y = -2

2x + 4y = 16

Solve by elimination. (-4y and +4y gives 0)

7x = 14

x = 2

Substitute 2 in one of the equations in order to find y.

5(2) - 4y = -2

10 - 4y = -2

-4y = -12

y = 3

x = 2, y = 3

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 2, x = 3

Step-by-step explanation:

[tex]\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Step\;by\;step\;solving}:[/tex]

[tex]\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}[/tex]

[tex]\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}[/tex]

[tex]\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3[/tex]

[tex]\mathrm{Since,\:}x=\frac{-2+4y}{5}[/tex][tex]\mathrm{and\;y\;=\;3}[/tex]

[tex]\mathrm{Then, substitute\:}y=3[/tex]

[tex]\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}[/tex]

[tex]\mathrm{Solving:\;x=2}[/tex]

[tex]\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,x=3[/tex]

~Kavinsky~

Using the Pythagorean theorem:

c = sqrt(8^2 + 7^2)

c = sqrt(64 + 49)

c = sqrt(113)

c = 10.6

The answer is D. The roots are just where the line crosses the y axis.

Step-by-step explanation:

Looking closely,

when x1=0, y1= 3

Also, when x2= 3, y2= 1

The slope therefore is,

(y2-y1)/(x2-x1)

= 1-3/2-0

= -2/2

Slope = -1

Answer:

Range: ( − ∞ , ∞ ) , { y | y ∈ R }

Step-by-step explanation:

Slope: 4

y-intercept: (0,0)

 X          Y

 0          0

  1          4

Answer:

all real number

Step-by-step explanation:

The trapezium is an isosceles trapezium. Then the measure of all angles will be 54°, 36°, 36°, and 54°.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

In the adjoining figure, ABCD is an isosceles trapezium in which angle ∠BCD = 2x and angle ∠ABC = 3x.

Then all the angles of the trapezium will be

Agngle ∠BCD = ∠ADC and angle ∠ABC = ∠BAD because the trapezium is an isosceles trapezium. Then we have

Then the value of x will be

∠ABC + ∠BCD + ∠CDA + ∠DAB = 180°

                        3x + 2x + 2x + 3x = 180°

                                              10x = 180°

                                                  x = 18°

Then the measure of all angles will be

∠ABC = ∠BAD = 3x = 3 × 18 = 54°

∠BCD = ∠ADC = 2x = 2 × 18 = 36°

More about the trapezium link is given below.

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Answer:

g p + g q − g r + h p + h q − h r

Step-by-step explanation:

This is the correct simplified form of ( g + h ) ( p + q − r )

Hope this helped!

Answer:

gp + gq - gr + hp + hq - hr

Step-by-step explanation:

Expression:

(g + h)(p + q − r)

Choices:

gp + gq − gr + hp + hq − hr

gp + gq + gr + hp + hq + hr

gp + hq − r

Solution:

Multiply each term of g + h by each term of p + q - r.

You get:

gp + gq - gr + hp + hq - hr

Answer:

42.875

Step-by-step explanation:

V=BxHxW

3 1/2 =3.5

3.5 x 3.5 x 3.5

=42.875 cubic in.

Answer:

B. Circumference  = 10r feet, area = 25r feet

Step-by-step explanation:

C = [tex]\pi[/tex] x 10

C = 10n

A = n x 5x5

A = 25n

========================================================

Explanation:

If you plug in x = 0 and y = 3, then the original equation boils down to c = 3. The x = 0 cancels out pretty much everything except that c term.

We have y=ax^3+bx^2+c update to y=ax^3+bx^2+3

Now plug in x = 1 and y = 6 from the point (1,6)

y=ax^3+bx^2+3

6=a(1)^3+b(1)^2+3

6 = a+b + 3

a+b = 6-3

a+b = 3

Now plug in the coordinates of (-1,4) which are x = -1 and y = 4

y=ax^3+bx^2+3

4=a(-1)^3+b(-1)^2+3

4 = -a + b + 3

-a+b = 4-3

-a+b = 1

-----------------------------

Here are the two equations we're interested in

a+b = 3

-a+b = 1

We'll add these equations straight down. The 'a' terms cancel. The b terms add to 2b. The right hand sides add to 3+1 = 4

We're left with 2b = 4 and it solves to b = 2

Use any of the equations involving 'a' and b to determine that a = 1

-----------------------------

To summarize we have

a = 1

b = 2

c = 3

This means y=ax^3+bx^2+c updates fully to y=1x^3+2x^2+3 which simplifies to y = x^3+2x^2+3 and it's the final answer.

Visual verification is shown below. Desmos is a graphing tool I use all the time, as well as GeoGebra. Both are free apps.

Answer:

See below ~

Step-by-step explanation:

Arranging the data in increasing order

Mean

Median

Range

Answer:

Mean: 39

Median: 32.5

Range: 62

Answer: 6.96 in^2

Step-by-step explanation:

Trapezoid Area

A = [tex]\frac{a+b}{2} h[/tex]

= [tex]\frac{1.5 + 3.3}{2} * 2.9[/tex]

= [tex]\frac{4.8}{2} * 2.9[/tex]

= 2.4 * 2.9

= 6.96

Hey there!

284 * 45^3

= 284 * 45 * 45 * 45

= 284 * 2,025 * 45

= 284 * 91,125

= 25,879,500

Therefore, your answer is:

25,879,500

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)