An investment of $4000 doubles in value every decade. How much is the investment worth after 30 years?

Using the formula for the area and circumference of a circle, we have the following answers:

1. radius = 2 in. (given)

Diameter = 4 in.

Circumference = 12.56 in.

Area = 12.56 in.²

2. radius = 10 in.

Diameter = 20 in. (given)

Circumference = 62.8 in.

Area = 314 in.²

3. radius = 5 in.

Diameter = 10 in. (given)

Circumference = 31.4 in.

Area = 78.5 in.²

4. radius = 20 in.

Diameter = 40 in. (given)

Circumference = 125.6 in.

Area = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 36 in.

Circumference = 113.04 in.

Area = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 16 in.

Circumference = 50.24 in.

Area = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 24 in.

Circumference = 75.36 in.

Area = 452.16 in.²

8. radius = 16 in.

Diameter = 32 in. (given)

Circumference = 100.48 in.

Area = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 30 in.

Circumference = 94.2 in.

Area = 706.5 in.²

1. radius = 2 in. (given)

Diameter = 2(2) = 4 in.

Circumference = πd = π(4) = 12.56 in.

Area = πr² = π(2²) = 12.56 in.²

2. radius = 1/2(20) = 10 in.

Diameter = 20 in. (given)

Circumference = πd = π(20) = 62.8 in.

Area = πr² = π(10²) = 314 in.²

3. radius = 1/2(10) = 5 in.

Diameter = 10 in. (given)

Circumference = πd = π(10) = 31.4 in.

Area = πr² = π(5²) = 78.5 in.²

4. radius = 1/2(40) = 20 in.

Diameter = 40 in. (given)

Circumference = πd = π(40) = 125.6 in.

Area = πr² = π(20²) = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 2(18) = 36 in.

Circumference = πd = π(36) = 113.04 in.

Area = πr² = π(18²) = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 2(8) = 16 in.

Circumference = πd = π(16) = 50.24 in.

Area = πr² = π(8²) = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 2(12) = 24 in.

Circumference = πd = π(24) = 75.36 in.

Area = πr² = π(12²) = 452.16 in.²

8. radius = 1/2(32) = 16 in.

Diameter = 32 in. (given)

Circumference = πd = π(32) = 100.48 in.

Area = πr² = π(16²) = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 2(15) = 30 in.

Circumference = πd = π(30) = 94.2 in.

Area = πr² = π(15²) = 706.5 in.²

Learn more about area and circumference of circle on:

https://brainly.com/question/402655

Answer: Bobby, Amy, Carlos

Step-by-step explanation:

Amy spent $6.00 for 2 gallons of gas.

The price per gallon will be:

= $6/2

= $3 per gallon

Bobby paid $15.00 for 6 gallons of gas.

The price per gallon will be:

= $15/6

= $2.5 per gallon

Carlos paid $32.00 for 8 gallons of gas.

The price per gallon will be:

= $32/8

= $4 per gallon

From the cheapest to the most expensive will be:

Bobby, Amy, Carlos

Answer:

Bobby,Amy,Carlos

Step-by-step explanation:

Answer:

2 seconds

Step-by-step explanation:

[tex]y=-5t^2+20[/tex] (Given)

When acorn will hit the the ground, at that moment y = 0

[tex]\implies 0= -5t^2+20[/tex]

[tex]\implies 5t^2=20[/tex]

[tex]\implies t^2=\frac{20}{5}[/tex]

[tex]\implies t^2=4[/tex]

[tex]\implies t=\pm\sqrt4[/tex]

[tex]\implies t=\pm 2[/tex]

Time can not be negative.

[tex]\implies t\neq-2[/tex]

[tex]\implies t=2\:seconds[/tex]

Answer:

Shift the graph of y = x2 left 13 units and then up 6 units.

Step-by-step explanation:

Answer:

You start with the graph y=x^2, you shift the graph right 13 units to get y=(x-13)^2, then you shift the graph up 6 units to get y=(x-13)^2+6. Hope this helps!

h= 28°

(Vertically opposite angles are equal)

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

hypotenuse leg theorem

Answer:

the answer is none

Step-by-step explanation:

Hey there!

First, subtract 3 from both sides:

5x+3=23

5x=20

Now, divide both sides by 5:

x=4 (Answer)

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

x=4

Step-by-step explanation:

Separate the term x from one side of the equation to solve the problem.

5x+3=23

First, subtract by 3 from both sides.

[tex]\sf{5x+3-3=23-3}[/tex]

Solve.

[tex]\sf{23-3=20}[/tex]

Write down the problem.

5x=20

Then, you divide by 5 from both sides.

[tex]\sf{\dfrac{5x}{5}=\dfrac{20}{5} }[/tex]

Solve.

Divide.

[tex]\sf{20\div5=4}[/tex]

x=4

As a result, the correct answer is x=4.

I hope this helps you! Let me know if my answer is wrong or not.

Answer: f is the dependent variable

Step-by-step explanation:

A variable that depends on one or more other variables. For equations such as letter f = 0.73g +16.8, the dependent variable is letter f. The value of letter f depends on the value chosen for g. Usually the dependent variable is isolated on one side of an equation.

Answer:

See below.

Step-by-step explanation:

We know that the equation [tex]4x+16y=36[/tex] is a true equation for a particular value of x.

Now, let's see what happens if we divide everything by 4. In other words:

[tex]\frac{4x+16}{4}=\frac{36}{4}[/tex]

Divide:

[tex]x+4=9[/tex]

So, we get [tex]x+4=9[/tex].

When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the same thing to both sides of the equation.

Therefore, [tex]x+4y=9[/tex] is also true for the same value of x because it is just a simplified version of [tex]4x+16y=36[/tex].

Answer: the actual speed of the car is 65 and the other part is

"he used change in x coordinates/change in y coordinates to find a unit rate not change in y-coordinates/change in x coordinates"

Step-by-step explanation:

sorry, hope this isnt too late and hope this helps you!! <3

sorry put a answer then i realized we didn’t have the same numbers

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

Now Dividing both side by 80 we get;

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total 9 days of travel.

Answer:

$58.5

Step-by-step explanation:

Answer:

Hope this helps ya! :D

Step-by-step explanation:

Answer:

We can use a table of values or a graphing calc.

Step-by-step explanation:

We can simply plug the function into a graphing calc.

To use a table of values, we simply plug in x-values to get output y-values. Those would be our coordinates to graph, such as (-6, 0) and (0, -3). We would then just draw a line between them.

Answer:

59.4

Step-by-step explanation:

0.08x55+55

Hey there!

Formula:

SUM of all numbers / TOTAL numbers you have in your data plot

EQUATION:

(10 + 10 + 13 + 14 + 16 + 19 + 23) / 7

10 + 10 + 13 + 14 + 16 + 19 + 23
= 20 + 13 + 14 + 16 + 19 + 23

= 33 + 14 + 16 + 19 + 23

= 47 + 16 + 19 + 23

= 63 + 19 + 23

= 82 + 23

= 105

105 / 7

= 15

So, therefore the answer is: Naeem's Work. Start fraction 10, 10, 13, 14, 16, 19, 23 Over 7 end fraction = StartFraction 105 Over 7 end fraction = 15 (Option A.)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study music, the probability the person is in HS is about 44%.

Step-by-step explanation:

In the music column, we see that

total people who prefer to study with music =   153

high school students = 68

So, probability of high school students who study with music

= 68/153

= 0.44

= 44%.

College students = 85

Probability of college students who prefer to study with music

=  85/153

= 0.56

= 56%.

So, the correct statements are :

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study with music, the probability the person is in HS is about 44%.

Answer:

3 and 5

Step-by-step explanation:

2022

Answer:

[tex]( - 1,2 \frac{1}{2} )[/tex]

Step-by-step explanation:

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]

Thus, midpoint

[tex] = ( \frac{4 - 6}{2} , \frac{8 - 3}{2} ) \\ = (\frac{ - 2}{2} , \frac{5}{2} ) \\ = ( - 1,2 \frac{1}{2} )[/tex]

(-7)¹ x (-7)⁻⁴ = (-7)⁻⁵

Answer:

(1,2)

Step-by-step explanation:

look at the slope

pick two points that connect like Γ

list which one connects to x and which one connects to y

Answer:

the surface area is 52

Step-by-step explanation:

A=2(wl+hl+hw)=2x(1x2+8x2+8x1)=52

Answer:

Step-by-step explanation:

1. solution

160 gallons = 2 min

160 x 5 = 2 x 5

800 gallons = 10 min

2. solution

160 x 19 = 2 x 19

2880 = 36

So

approximately 38 min

Answer:

Step-by-step explanation:

y = 66x - 1200

The charity organisation has to sell a number of tickets to cover their production costs of $1,200. It is given that after selling 200 tickets they retain a net profit of $12,000. Net profit is deduced as: Total sales - total costs. Sales is calculated as total tickets x selling price per ticket.

If we let b represent the sales earned from selling tickets, then:

Net profit = total sales - total costs

12,000 = 200b - 1,200

We can then solve for b by taking the 1200 to the other side of the equal sign. When we do that the sign of that number changes. This is also the same as adding 1200 to both sides of the equal sign:

∴12000 + 1200 = 200b

13200 = 200b

To get the price of one single ticket, b, we need to divide both sides by 200.

∴ b = 66

This means that each ticket's selling price is $66.

So when when we take it back to the calculation of net profit then it becomes:

Net profit = total sales - total costs

y = 66x - 1200

To test:

y = 66x - 1200

= 66 (200 tickets) - 1200

= $12,000

Answer:

No, they cannot both be right

Step-by-step explanation:

Firstly, we need to convert the ft in the real room to inches

Mathematically; 1 foot = 12 inches

So 15 ft will be 15 * 12 = 180 inches

18 ft will be 18 * 12 = 216 inches

Now let’s look at their drawings;

9 to 10.8

So 9 translated to 180 while 10.8 translated to 216

So the ratios here are;

9/180 and 10.8/216 = 1 : 20 for the ratio of the drawing to the real measure

This shows that only Ricky is right

Step-by-step explanation:

6y=24-3x

6y/6=24-3x/6

y= 4-1/2x

x= -2y+8

Answer:

Please see below

Step-by-step explanation:

There are two variables so you can't really solve for both of them

Here's x:

3x = 24 - 6y

x = 8 - 2y

Here's y:

6y = 24 - 3x

y = 4 - x/2

Hope this helps :)

(Please let me know if I've gotten anything wrong!)

Answer:

12.2*1=12.2

12.2*0.45=5.49

5.49+12.2=17.69

Step-by-step explanation:

Answer:

15 then 1 then yes

Step-by-step explanation:

Rounding to the nearest whole number, determine whether Brian’s product is reasonable.

Round Brian’s average speed to

✔ 15

.

Round the activity time to

✔ 1

.

Was Brian’s product reasonable?

✔ yes

Answer:

We will see that the domain of the function is:

D: {x | x ∈ R | x > -6}

How to find the domain of a function?

To find the domain of a function, we start by assuming that it is the set of all real numbers, and then we remove the problematic points.

In this case, we have a logarithm, and as you may remember, we can only evaluate the logarithm in positive values, so we need to remove all the values of x such that:

x + 6 ≤ 0

Solving for x, we get:

x ≤ -6

So the only values of x allowed are the ones that make the next inequality true:

x > -6.

Thus we can write the domain as:

D {x | x ∈ R | x > -6}

Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number unless we specify that it is not, but just for completion, I wrote it.