An account with an initial deposit of 3,500 earns 7.25% annual interest, compounded continuously. How much will the account be worth after 30 years? Round to the nearest cent.

Answer:

Step-by-step explanation:

D

The distance between points is √65.

The length of the line that connects two points is the distance between them. The distance can be determined by subtracting the coordinates that are not the same if the two points are on the same horizontal or vertical line.

The distance formula is used in analytic geometry to determine the distance between two lines, the sum of the lengths of all sides of a polygon, the perimeter of polygons on a coordinate plane, the area of polygons, and a variety of other measurements.

Given coordinates

R(5, 7) and S(-2, 3)

to find the distance between

the formula of distance for coordinates is

d = [tex]\sqrt{(y_{2} - y_{1} )^{2} + (x_{2} - x_{1} )^{2} }[/tex]

here y₂ = 3, y₁ = 7

x₂ = -2, x₁ = 5

substitute value in equation we get

d = [tex]\sqrt{({3 - 7 )^{2} + (-2 - 5 )^{2} }[/tex]

d = [tex]\sqrt{({-4 )^{2} + (-7 )^{2} }[/tex]

d = √(16 + 49)

d = √65

Hence the distance is √65.

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Answer:

[-2, infinite)

Step-by-step explanation:

range of the graph will be [-2, positive infinite)

Answer:

24 months

Step-by-step explanation:

The computation of the number of months taken to grow 12 inches is as followS:

Given that

It takes half inches per month

i.e.

0.5 inches ........... 1 month

12 inches .......... ?

So for 12 inches it would take

= 12 inches ÷ 0.5 inches × 1 month

= 24 months

Answer:

15 + 1.50x

Step-by-step explanation:

Answer: 5.25

Step-by-step explanation: .35*15=5.25

Answer:

5.25

Step-by-step explanation:

change the percent to a decimal by moving the dot to the left two places, then multiply it by the number

0.35*15=5.25

Answer:

The price to make maximum revenue is 1 and the maximum revenue is 2000.

Step-by-step explanation:

Consider the provided information.

Revenue is the product of the number of sales and the sales price.

Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].

[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]

[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]

The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.

The vertex(axis of symmetry) of a downward parabola has the maximum point.

The axis of symmetry is  [tex]x=\frac{-b}{2a}[/tex]  for the quadratic equation [tex]ax^2+bx+c=0[/tex].

By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:

[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]

Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .

[tex]p=\frac{-4000}{2(-2000)}[/tex]

[tex]p=1[/tex]

So revenue will be maximum for [tex]p=1[/tex].

Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]

[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]

[tex]\text{Revenue}=-2000 + 4000[/tex]

[tex]\text{Revenue}=2000[/tex]

Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.

Maximum revenue generated = $2000

Price at which the maximum revenue is generated = $1

Steps to find the maximum revenue,

Given in the question,

        x = -2000p + 4000

Expression for the revenue generated = Price of one cookie × Number of cookies sold

R = p(-2000p + 4000)

R = -2000p² + 4000p

For the maximum revenue,

"Find the derivative of the expression for revenue and equate it to zero"

R' = -4000p + 4000 = 0

4000p = 4000

p = $1

For p = 1,

R = -2000(1) + 4000

R = $2000

       Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.

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If this coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)

Generally, if a coordinate (x, y) is reflected over the y-axis, the coordinate of the pre-image is (-x, y).

Note that the x-coordinate was negated while the y-coordinate remain the same.

Given the coordinate vertices of a triangle A(-4, 1), B (-1, 3) and C (-1, 1), if these coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)

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inverse operations = x=.5

simplify = x=1/2

inverse operations = x=.5

solution = x=1/2

check:

Let x = 3/2

10×3/2-5=10

use this rule = a×b/c=ab/c

10×3/2-5=10

Simplify  10×3  to 30.

30/2-5=10

Simplify 30/2 to 15

15-5=10

Simplify 15-5=10

10=10

Checked✅

Answer:

3

Step-by-step explanation:

60 × 8 = 480 (mins)

96 (trucks) = 480 (mins)

÷32 (I got this number by dividing 480 by the desired amount of mins which was 15)

3 = 15

So 3 trucks would have been loaded in 15 mins

Answer:

y<-2x-3

Step-by-step explanation:

Your first step is to find the equation of the line. You can see that the y-intercept is -3, therefore your b is -3. So now your formula looks like this:

y=mx-3

To find m, you substitute in an x value and its corresponding y value. When you do this you will get -2.

Now it looks like this:

y=-2x-3.

Now that you have the equation of the line, you can look at the inequality. Since the line is dotted, that means it is not included in the inequality. That mean it cannot contain an equal to. So the only options we have are < and >. Since the shaded area is to the left, which is the negative side, we can conclude that y<-2x-3 is the correct equation.

HOPE THAT THIS IS HELPFUL!

Answer:

BD  =  8

m∠BDA  =  90°

∆ABD and ∆BCD are both right triangles, each with two known side lengths.

Step-by-step explanation:

Direct answer from PLATO so change it a bit.

Answer:

1

Step-by-step explanation:

m [slope] = ∆y/∆x = y₂-y₁/x₂-x₁

m [slope] = 9 - 6 / 4 - 1 = 3 / 3 = 1

The equation for this relationship is

y = x + 5

Answer:

Area of circle

Step-by-step explanation:

No matter what, area stays the same

Answer:

Distribuitive Property (I think)

Step-by-step explanation:

This example is can be shown in another way, like:

1.(a+3) = a+3

You apply the distribuitive multiplying "a" and "3" by "1".

And then you can take away the parentheses.

Answer:

none

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is a graph of y=2

the domain is {-∞< x<∞}, x can be any real Number

Answer:

x = 27

y = 29

Step-by-step explanation:

Answer:

roses are red violets are blue 1 + 1 = 2

Step-by-step explanation:

:}

Answer:

On a coordinate plane, a line has a negative slope

Step-by-step explanation:

If a graph only shows one line, there is an infinite amount of solutions. We need two separate line equations to cross at a point in order to find the solution to the system. However, if a graph shows two parallel lines that never cross, there are no solutions to that systems of equations.

Answer:

The correct answer is the last graph (C).

Step-by-step explanation:

edge 2020

Answer: 6

The factors of 6 are 1,2,3 and 6

Answer:

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = -14x - 1   ⇒   m₁ = -14

-14×m₂ = -1        ⇒    m₂ = ¹/₁₄

So, the slope of a line perpendicular to the line y = -14x - 1 is m = ¹/₁₄

Answer:

156

Step-by-step explanation:

209x18.50=3866.5

5700-3866.5=1833.5

1833.5÷11.75=156.04

I think the lamp is 26.5? because maybe it is 25+1.50 since the first one was 8.00+0.48 I'm not sure about the others sorry:( I hope you'll get your answer though!

Answer:

the pythagorean thereom is a^2 + b^2 = c^2

Step-by-step explanation:

to find the length of the hypotenuse use a^2 + b^2 = c^2 or b^2 + a^2 = c^2

but in order to find the length of the legs use c^2 - a^2 = b^2 or

c^2 - b^2 = a^2

Answer:

9*572=5148

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Hey there!

In order for you to find out the decimal form a fraction, just simply DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number) and you should be able to find out your answer!

Formula:

NUMERAATOR / DENOMINATOR = ANSWER

NUMERATOR ➡️ 4

DENOMINATOR ➡️ 15

4 / 15 = answer

4 / 15 = 2.667

POSSIBLE ANSWER: 2.667 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

y =4(x-3)^2+2 => y=4x^2-24x+38

y=2(x-3)^2+4 => y=2x^2-12x+22

y=2(x+3)^2+4 => y= 2x^2+12x+22

Y= 4(x+3)^2+2 => y= 4x^2+24x+38

Step-by-step explanation: