A rare diamond, valued at $3,750, is gaining value at a rate of 4% each year. The value of a diamond, v, can be found using the equation v=p(1+r)t where p is the original value of the diamond, r is the rate, and t is the number of years the diamond gains value.

How much will the diamond be worth in 6 years?


$4,743.75


$4,744.95


$4,762.50


$4,875.00

Answer:

  r = 1/π

Step-by-step explanation:

The area of a circle is given by ...

  A = πr²

The rate of change of area is ...

  A' = 2πr·r'

We want that rate of change to be twice as fast as the rate of change of radius:

  2r' = 2πr·r'

  1 = πr . . . . . . divide by 2r'

  1/π = r

When the area is changing twice as fast as the radius, the radius is 1/π.

_____

Additional comment

The area and the radius have different units, so their rates of change must be compared numerically. The numerical value will depend on the units used. The radius for a circle whose area is measured in m² will be different than for one whose area is measured in ft².

Answer:

I figure you could simplify it by multiplying both sides by 6, resulting in -31+23=-30+18-1+5

-8=-8

Step-by-step explanation:

Answer:  Attached.

Step-by-step explanation:

Either solve the equations directly, or graph them and look for the point of intersection.  

Answer: 378.7 kilometers (maybe, I am not sure)

Mercury: 4.9 * 103 = 504.7 kilometers

Saturn: 1.2 * 105 = 126 kilometers.

Why on earth is Mercury's diameter greater than Saturn's -

504.7 - 126 = 378.7 kilometers

Answer:

-453/15 = -30.2

Answer:

-30.2 or -30 1/5

Step-by-step explanation:

Answer:

(1, 3) a solution to the system of equations

8x + y = 11

12x + 2y = 18

Step-by-step explanation:

ay están todos los deberes de la semana pasada gunnorni

Answer:

x=1 and y=3

Step-by-step explanation:

yes x=1 and y=3 is the solution for the equation.just by making y in the first equation subject of the formula and replacing in the second equation.

Answer:

Step-by-step explanation:

Compare the left and right side of the given equation in terms of the lines they represent:

Their intersection seems not possible. Lets graph and confirm.

See attached below.

It means there are no real solutions. Correct answer choice is B

Answer:

Answer is a

Step-by-step explanation:

I think it's "A", im looking for answer as well :(

Step-by-step explanation:

5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32

5×(x - 32) = 9×9/5 × x + 32×9

5×5×(x - 32) = 9×9×x + 32×9×5

25x - 32×25 = 81x + 32×45

32×(-25 - 45) = 56x

4×(-70) = 7x

x = 4×(-10) = -40

-40° is the same temperature in Celsius and in Fahrenheit.

Answer:

46?

Step-by-step explanation:

23*2=46

Answer:

37.31 cm

Step-by-step explanation:

∡ AB = 180 - 148 = 32° = ∡ DE

∡ CD = 360 - ∡ AE - ∡ AB - ∡ BC - ∡ DE = 360 - 148 - 32 - 87 - 32 =61°

∡ CE = 61 + 32 = 93°

arc length = 2[tex]\pi[/tex]r [tex]\frac{angle}{360}[/tex] = 2×3.14×23×[tex]\frac{93}{360}\\[/tex] = 37.31 cm

Answer:

6(4c+6d+3)

Step-by-step explanation:

First, find the greatest common factor, which is 6, in this case.

24/6=4

36/6=6

18/6=3

6(4c+6d+3)

-hope it helps

Answer:

201

Step-by-step explanation:

40.2*5=201

201 meters per minute

Answer:

17 degrees F

Step-by-step explanation:

11 - (-6) = 17

Subtracting a negative is the same as adding.

Answer:

Step-by-step explanation:

y = kx ;

k = [tex]\frac{y}{x}[/tex] ; x = [tex]\frac{y}{k}[/tex]

~~~~~~~~~~~~~

k = [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]

[tex]y_{1}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 8 ) = - 4

[tex]y_{2}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 4 ) = - 2

[tex]y_{3}[/tex] = [tex]\frac{1}{2}[/tex] × 2 = 1

[tex]x_{5}[/tex] = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]x_{6}[/tex] = - [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{2}[/tex]

[tex]x_{7}[/tex] = 0

( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 , [tex]\frac{1}{2}[/tex] ), ( [tex]\frac{2}{3}[/tex] , [tex]\frac{1}{3}[/tex] ), ( - [tex]\frac{1}{2}[/tex] , - [tex]\frac{1}{4}[/tex] ), ( 0 , 0 )

Answer:

$15.86

Step-by-step explanation:

Make 2 3/5 improper fraction (5 times 2 and add 3 equals 13)

13/5 times 6.1 ( or 6 1/10 or 61/10)

equals 793/50

divide

answer is 15.86

Answer:

domain is {4,5,6,7,8}, range is the other numbers in brackets

Step-by-step explanation:

Step-by-step explanation:

let's ignore the question, if the statue can cast an isolated shadow based on its location ...

2 objects and their shadows create 2 similar right-angled triangles.

that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.

so,

48 × f = 9

f = 9/48 = 3/16

therefore, the height of the statue is

70 × f = 70 × 3/16 = 210/16 = 13.125 ft

Answer:

The second one: r x-axis. R 90(x,y)

Step-by-step explanation:

You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.

The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the rule which describes the composition of transformations that maps ΔABC to ΔA"B"C".

Now, You can see that from ABC to A'B'C',

it's rotated a positive 90 degrees.

And, Then, from A'B'C' to A"B"C", reflected across x-axis.

Now, when writing the transformation, it goes by last to first. that's why the R 90 comes first.

Thus, The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ5

Answer:

Hm? Is there meant to be a file, if so I can’t see it. :((

Step-by-step explanation:

The system of linear inequalities represented by the graph is 2 < x < 3.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The dotted lines represents strictly less than or greater than inequalities.

Inequality 1 represents x > 2 and inequality 2 represents x < 3.

The combined inequality can be represented as 2 < x < 3.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ1

Answer:

[tex]a_{62}=-107[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference and n is the index of any given term.

The common difference of the given sequence is -2:

[tex]13-15=-2\\11-13=-2[/tex]

Using the first term and the common difference, you can write the equation for this sequence:

[tex]a_n=15+(n-1)(-2)[/tex]

And using that equation, you can find the 62nd term:

[tex]a_{62}=15+(62-1)(-2)\\a_{62}=15+(61)(-2)\\a_{62}=15-122\\a_{62}=-107[/tex]

Answer:

x^56+23/33

Step-by-step explanation:

The has the power of 56

Answer:

it is c

Step-by-step explanation:

Answer:

table k

Step-by-step explanation:

4:3 ratio

Answer:

[tex]\tan \angle T = \dfrac{SR}{TS} = \dfrac 43[/tex]

Step-by-step explanation:

Answer:

10000 meters

Step-by-step explanation

To find perimeter you add the length of each side of the shape. Since the land is a rectangle there are two pairs that are parrallel, being 2000 and 3000. Making the distance 2000 + 2000 + 3000+ 3000 = 10000

Hope this helps!

Answer:

Step-by-step explanation:

THE ANSWER IS A.  80 + 20 + (-17)

Answer:

  (a) P = 3000·1.15^t

  (b) 12,137

Step-by-step explanation:

The equation gets filled in so it looks like ...

  P = (initial amount) × (1 +growth rate)^t

where t is in units compatible with the growth rate.

  P = 3000·1.15^t

__

Midnight is 10 hours later than 2 p.m., so the quantity will be ...

  P = 3000·1.15^10 ≈ 3000·4.045558 ≈ 12,137

There will be 12,137 bacteria at midnight.