Suppose you invest $10,000 in a mutual fund that earns 6% annual interest. What is the value of your investment 30 years later? Show both the value and evidence of the thinking you used to calculate the value of the investment.

Answer:

[tex]A=p^2-2p-3[/tex]

Step-by-step explanation:

The area for a triangle is given by:

[tex]\displaystyle A=\frac{1}{2}bh[/tex]

The base is p + 1 and the height is 2p - 6. Therefore:

[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]

Simplify the second term:

[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]

Distribute:

[tex]A=p(p-3)+1(p-3)[/tex]

Distribute:

[tex]A=p^2-3p+p-3[/tex]

Combine like terms:

[tex]A=p^2-2p-3[/tex]

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies on y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Answer: I will tell you if you keep reading

Step-by-step explanation:

5y represents the mass of the sun and -23 is the degrees outside. So you have to find how many peices of chocolate bob has eaten in order to find the value (3x) 47

Answer:

x = 55

Step-by-step explanation:

Using the cofunction identity

sin35 = cos(90 - 35) = cos55

Answer:

5

Step-by-step explanation:

Answer:

A. I got it from edge

Step-by-step explanation:

Also give the person above brainliest

Answer: 3rd option

Step-by-step explanation:

The answer is

[tex]8 \frac{2}{5} [/tex]

Answer:

The breadth of rectangular carpet is 1.8 m.

Step-by-step explanation:

We have,

We know that,

= Area of rectangle = Length × Breadth

= 23.4 = 13 × Breadth

= 23.4/13 = Breadth

= 234/130 = Breadth

= 1.8 m = Breadth

To graph y-3x>-2, find the boundary line. (y > -2 + 3x is your answer)

1. Find the equation of the boundary line.

2. Choose a point (x, y) on the shaded side on the line.

3. Plug x and y, in the boundary to identity the inequality sign.

Answer:

7.78

Step-by-step explanation:

Answer:

9e^-10x

Step-by-step explanation:

that's the simplified answer

Answer:

3/9 i think

Step-by-step explanation:

Answer: One number is 32, the other is 28

Step-by-step explanation:

Let's solve this problem with a system of equations

Let the x be one number, y be the other number

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

x+y=60

x-y=4

2x=64

x=32

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

Substitute x value into one of the equations

x-y=4

32-y=4

y=28

Hope this helps!! :)

Please let me know if you have any questions

Answer:

See explanations below

Step-by-step explanation:

Let the numbers be 2 and 2

Taking the sum using the plus(+) sign

2 + 2 = 4

Taking the product using the multiplication sign (×)

2×2 = 4

You can see that the answer to both expression are equal even by changing the sign from + to × that is;

2+2 = 2×2 = 4

Answer:

Girl what kind of MATH IS THISSSSS

Step-by-step explanation:

Answer:

Step-by-step explanation:

It appears that the first column is 10(10) and 6(10)

the third column has 6(6) so perhaps top square is 6(10)=60

Answer:

[tex]\displaystyle \theta=0.413\ rad[/tex]

L= 9.086 feet

Step-by-step explanation:

Area of a Circular Sector

Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by

[tex]\displaystyle A=\frac{1}{2}r^2\theta[/tex]

And the length of the arc is:

[tex]L=\theta r[/tex]

We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:

[tex]\displaystyle 100=\frac{1}{2}r^2\theta[/tex]

Solving for θ:

[tex]\displaystyle \theta=\frac{200}{r^2}[/tex]

[tex]\displaystyle \theta=\frac{200}{22^2}[/tex]

[tex]\displaystyle \theta=0.413\ rad[/tex]

The arc length is:

[tex]L=0.413* 22[/tex]

L= 9.086 feet

Answer:

the answer is 30x+33

part 1: 8p + 3w = 40

part 2: $4 left

Answer:

ydyeheuuru u ieuegeoeororpe

Answer:

Step-by-step explanation:

Subtract C from both sides

R = P - C

Answer:78.5

Step-by-step explanation:

The total surface area of the rectangular prism shown is 78.5 feet².

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

The surface area of a rectangular prism can be calculated as,

Surface area = 2 (lw + wh + lh)

Here l is the length, w is the width and h is the height of the rectangle.

From the figure,

l = 4.5 feet

w = 4 feet

h = 2.5 feet

Surface area = 2 [ (4.5 × 4) + (4 × 2.5) + (4.5 × 2.5)]

                     = 2 [18 + 10 + 11.25]

                     = 2 × 39.25

                     = 78.5 feet²

Hence the surface area is 78.5 feet².

Learn more about Rectangular Prism here :

https://brainly.com/question/21308574

#SPJ3

Answer:

=−14x+18

Step-by-step explanation:

happy to help ya :)

Answer:

112

Step-by-step explanation:

so you split the question by doing 18 - 2 then do 4 + 3 then you mutiply the answer

Answer:

22 m

Step-by-step explanation:

Diameter d = 7 m

Circumference of the circle C =?

[tex]C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m[/tex]

Answer:

4 minutes

Step-by-step explanation:

Answer:

75% of 124 is 93

Step-by-step explanation:

  124 * 75%

= 124 * [tex]\frac{3}{4}[/tex]

= 31 * 3

= 93

Answer:

93

Step-by-step explanation:

75 / 100 x 124 = X

9300/ 100  = x

x = 93

Answer:

dotted

Step-by-step explanation:

when there is a line underneath the less than or equal to sign, it is solid, when there is not a line it is dotted.

Answer:

4925cm^2

Step-by-step explanation:

whole thing - small thing = shaded

small = 25 x 25 = 625

whole thing = a+b / 2 x h     =    111+111/2 x 50 = 5550

5550-625= 4925cm^2