A friend tells you that her savings account doubled in 9 years. Use the Rule of 72 to estimate what the APR of her account was.

Answers

Answer 1

answer:The rule of 72 says that an amount will double when the product of the percentage and the number of years equals 72...so for 8 years, you would need to earn 9%


Related Questions

Generally those who are less active have no opportunities to exercise

Answers

what is this question?

Answer:

False

Step-by-step explanation:

Edge 2021

2d +4(d – 3) = 3, what is 9d+1

Answers

9514 1404 393

Answer:

  9d +1 = 23.5

Step-by-step explanation:

=Simplifying, we have ...

  2d +4d -12 = 3

  6d = 15

  d = 15/6 = 5/2

Then 9d+1 is ...

  9(5/2) +1 = 45/2 +1 = 47/2

  9d +1 = 23.5

If the radius r of a circle is decreasing at the rate of 5 cm per minute, find the rate of change of area when radius is 6 cm.

Answers

Answer:

-94.2 [tex]cm^2/min[/tex]

Step-by-step explanation:

Rate of change of radius = -5 cm per minute (as it is decreasing)

Radius of circle = 6 cm

Formula for area of Area:

[tex]A = \pi r^2[/tex]

Formula for differentiation of [tex]y = x^n[/tex]:

[tex]\dfrac{dy}{dt} = nx^{n-1}\dfrac{dx}{dt}[/tex]

Differentiating area w.r.to [tex]t[/tex]:

[tex]\dfrac{dA}{dt} = 2\pi r\dfrac{dr}{dt}[/tex]

Putting the values, [tex]r = 6, \frac{dr}{dt} = -5[/tex] cm per minute.

[tex]\dfrac{dA}{dt} = 6\pi \times (-5)\\\Rightarrow \dfrac{dA}{dt} = -30 \times 3.14\\\Rightarrow \dfrac{dA}{dt} = -94.2\ cm^2/min[/tex]

Negative sign indicates that area is decreasing.

Rate of change of area is -94.2 [tex]cm^2/min[/tex].

The area decreases at a rate of -188.4 square centimeter per minute

The area (A) of a circle of radius (r) is represented as:

[tex]A = \pi r^2[/tex]

Differentiate the area, with respect to r

[tex]A' = 2\pi r r'[/tex]

From the question, we have:

Radius (r) = 6cmRate of change of radius (r') = -5cm per minute

So, the equation becomes

[tex]A' = 2\times 3.14 \times 6 \times (-5)[/tex]

[tex]A' =- 188.4[/tex]

Hence, the area decreases at a rate of -188.4 square centimeter per minute

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What is the step. some help

Answers

Answer:

Step-by-step explanation:

LM=2x+24

MN= x+28

LN=31

LN=(2x+24)+(x+28)

31=(2x+24)+(x+28)

solve

31=(2x+24)+(x+28)

31-24-28 = 2x +x

-21=3x

-7=x

1. Which equation represents the relationship shown in the table below? (1 point)

y = -x - 3
y=x-3
y = 2x - 3
y=-2x + 3

Answers

The third one is correct

The equation representing the relationship in the table is y = 2x - 3. The correct option is C.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.

Given data in the table:-

x              y

0              -3

1               -1

2              1

3              3

The equation satisfying the values of the table will be:-

y = 2x - 3

-3 = 2 x  0 - 3=-3

-1 = 2 x 1 - 3 =-1

1 = 2 x 2 - 3 = 1

3 = 2 x 3 - 3 = 3

Therefore, the equation representing the relationship in the table is y = 2x - 3. The correct option is C.

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Find the Length of AC. Round answers to the nearest hundredth (2 decimal places)

Answers

Answer:

32.78

Step-by-step explanation:

Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.

Let's find a and b.

Finding a:

Reference angle = 30°

Opp = 12 ft

Adj = a

Using trigonometric ratio formula, we have:

tan(30) = 12/a

Multiply both sides by a

a*tan(30) = 12

Divide both sides by tan(30)

a = 12/tan(30)

a = 20.78 (nearest hundredth)

Finding b:

Reference angle = 45°

Opp = 12 ft

Adj = b

Using trigonometric ratio formula, we have:

tan(45) = 12/b

Multiply both sides by a

b*tan(45) = 12

Divide both sides by tan(45)

b = 12/tan(45)

a = 12

Length of AC = 20.78 + 12 = 32.78

5. A refrigerator is on sale for $1200. That is
25% off regular price. What was the original
price?

Answers

Answer: The original price is $4,800

Step-by-step explanation:

$1,200=25%

25%*4=100%

$1,200*4=$4,800=100%

For the state of Indiana, there are 181,560 businesses that are open during the pandemic. If this makes up only 68% of all businesses, how many total business are there in the state?

Answers

Answer:

267,000

Step-by-step explanation:

The length of a rectangle exceeds its width by 1
inch and the area is 132 square inches. What
are the length and width of the rectangle?

Answers

Answer:

Width equals 11, and length equals 12.

Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.

Answer:

[tex]l(l - 1) = 132[/tex]

[tex] {l }^{2} - l - 132 = 0 [/tex]

[tex](l - 12)(l + 11) = 0[/tex]

[tex]l = 12 \: or \: l = - 11[/tex]

[tex]length \: must \: be \: postive[/tex]

[tex]integers[/tex]

[tex]l = 12 \: and \: w = l - 1 = 11[/tex]

plato

what's 9x - 7i > 3 (3x - 7u) ?

Answers

Step-by-step explanation:

9x-7i>9x-21u

-7i>-21u

i<3u

The solution to the given inequality 9x - 7i > 3(3x - 7u) is i < 3u.

Given that:

Inequality: 9x - 7i > 3 (3x - 7u)

To solve the inequality 9x - 7i > 3(3x - 7u), follow these steps:

Step 1: Distribute the 3 on the right side of the inequality as:

9x - 7i > 9x - 21u.

Step 2: Simplify the inequality.

9x - 9x - 7i > - 21u.

Step 3: Rewrite the inequality.

After cancelling out the 9x terms, we are left with -7i > -21u.

Step 4: Divide both sides by -7.

i < 3u

Therefore, the solution to the inequality 9x - 7i > 3(3x - 7u) is i < 3u.

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How do you say hi in chamoru?​

Answers

Answer:

Step-by-step explanation:

To say Hi in Chamoru you say, "Håfa Adai" (Chamorro for "Hello").

Hope this helped!

Students from Texas, New York, Washington, Florida, and Utah identified their area of concentration at various universities. The results are listed in the table.

One of these students is selected at random. What is the probability that the student is from the state of Washington under the condition that the student studies history?

Enter a number in the box.

Answers

Students who study history: 132

Number of students from Washington who study history: 20

The probability of Washington given history is 20/132. In simplest form, the probability is 5/33

The probability of a random student who is from Washington and studies history is [tex]\frac{5}{33}[/tex].

What is probability?

Probability is the chance of happening an incident or event. A probability is calculated by the ratio of the possible outcomes to total number of outcomes.

Given, the total number of students of History

= (30 + 17 + 20 + 32 + 33) = 132

The number of students from Washington who studies history = 20.

Therefore, the probability that the student is from the state of Washington under the condition that the student studies history is = [tex]\frac{20}{132} = \frac{5}{33}[/tex] .

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Overdue! Please help me! Thank you.

Answers

Answer:

1. $79.5 for 10 pizzas

2. $107 for 20 pizzas

Step-by-step explanation:

all you have to do is plug in your numbers to the function! for question one, you would plug in 10 as p. the equation would be s=2.75(10)+52. simplify by multiplying 2.75 by 10 and adding 52. you should get $79.5. for the second one, the equation is s=2.75(20)+52. i encourage you to solve it yourself just to make sure you understand!

May you please help ill give out brainlyist ..

Answers

Answer:

C. is your answer dear

Step-by-step explanation:

2^3 = 8

1 = 1

Hii I need the 7th and 8th question asap will mark brainliest 100% to who ever answers first and right thank you

Answers

8. EFD = 180 - EFA - AFC = 180 - 42 - 68 = 70
7. 100 and 80

Which situation cannot be represented by the equation 15 + x = 25?

Victor and Raul donated 25 cans of fruit to their local food bank. Victor donated 15 cans. What is, x, the number of cans Raul donated?

The day's low temperature read 15ºF. The day's high temperature read 25ºF. What is x, the amount of degrees the temperature increased throughout the day?

Jean has $25. She found $15 of the amount in her wallet and the rest in her coat pocket. What is x, the amount of money in her coat pocket?

Elizabeth worked 15 hours. Josh worked 25 hours. What is x, the amount of hours they worked together?

Answers

Answer:

the last answer about the jobs

Step-by-step explanation:

Select a symbol to compare the numbers.
7/10
0.07

Answers

Answer:

7/10>0.07

Step-by-step explanation:

You can turn 7/10 into decimal and its 0.7.

0.7 is greater than 0.07 so you would put a > sign

so the answer is 7/10>0.07

pls mark brainliest

which of the following tables can be generated from the equation y equals 2x + 1​

Answers

Answer: 2 the first one

Step-by-step explanation:

Answer: the first one

Step-by-step explanation:

jack was 8 years older than priscilla. together their ages totaled 154 years. what were their ages?

Answers

Answer:

Jack is 81, Priscilla is 73

Step-by-step explanation:

Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.

If it took 8 hours to clean 12 houses how many houses could be cleaned in 12 hours

Answers

Answer:

18 houses

Step-by-step explanation:

12 houses / 8 hours = 1.5 houses an hour

We're given 12 hours, so:

1.5 houses/hour * 12 hours = 18 houses

when the Dixon family traded in their old car, it had 53,790 miles on it. they had the car for 8.25 years. on average, how many miles did they drive per year?​

Answers

Answer:

6,520 miles per year

Step-by-step explanation:

53,790 divided by 8.25 equals 6,520

Help help please I really need it

Answers

The arrow will always point to the bigger number.

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

x = ______

Answers

Answer:

2/3

Step-by-step explanation:

cuz it is

Answer:

2/3

Step-by-step explanation:

Pleaseeeeee help please

Answers

Answer is: y=10x+20
you can discover b = 20 since the line intersects the y-axis on the coordinates: (0,20)

Ryan feeds his chicken 1/ 3 cups of grain per day. The grain container has 6 cups of grain left. For how many days can Ryan feed the chicken?

Answers

Answer:

18 days

Step-by-step explanation:

1 cups=3 days

2 cups=6 days

3 cups=9 days

4 cups=12 days

5 cups=15 days

6 cups=18 days

f(x)=0.5-2xsquared find the value of f(x) when x=0

Answers

Answer:

f(0) = 0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 0.5 - 2x²

x = 0

Step 2: Evaluate

Substitute in x:                    f(0) = 0.5 - 2(0)²Exponents:                          f(0) = 0.5 - 2(0)Multiply:                               f(0) = 0.5 - 0Subtract:                              f(0) = 0.5

Answer:

f ( 0 ) = 0.5

Step-by-step explanation:

Step 1:

f ( x ) = 0.5 - 2x²          Function

Step 2:

x = 0          Given

Step 3:

f ( 0 ) = 0.5 - ( 2 ( 0 ) )²         Multiply

Answer:

f ( 0 ) = 0.5

Hope This Helps :)

Find the ratio of red marbles to total marbles. Write the ratio in simplest form.
5/3
3/5
2/3
3/2

Answers

Answer:

3:5

Step-by-step explanation:

ratio is 4:6 so ratio equals 2:3

red marbles is 3/5

A store buys lawnmowers from the manufacturer and marks

up the price by 40% to arrive at a retail price. Fill in the

blank: The wholesale price is times the retail price.

Answers

Answer:

0.7142857

Step-by-step explanation:

Let wholesale price = x

Retail price = 40% Markup of wholesale price

Retail price = (100 + 40)% of x

Retail price = 140% of x

Retail price = 140/100 * x

Retail price = 1.4x

Hence,

Wholesale price / retail price

x / 1.4x

= 0.7142857

Hence, wholesale price is 0.7142857 of the retailer price

In a company, the ratio of the number cashiers is 20:3. If there are 120 workers in the company,
how many cashiers are there ?

(A)17
(B)18
(C)21
(D) 23

Answers

9514 1404 393

Answer:

  (B)  18

Step-by-step explanation:

Multiply each of the numbers in the ratio by 6.

  workers : cashiers = 20 : 3 = 120 : 18

There are 18 cashiers for 120 workers.

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?

Answers

$20 because every 3 pounds is $6
Every pound is $2
6*3+2

Answer:

20

Step-by-step explanation:

Other Questions
My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild.Determine all possibilities for the ages of my grandparents grandchildren. In a survey of market, it is found that 143 persons use white toothpaste and 135 use red toothpaste. If 70 of them use both the toothpaste then find the number of persons who use at least one of the toothpaste The distance from Jason's house to school is 0.1 kilometer. What is this distance in meters? Help pls HELP I NEED THIS DONE ASAP 20 POINT In 2 paragraphs Discuss the differences between U.S. foreign policies during the Cold War and discuss which policy you believe was most effective and why. Which policy do you think was least effective and why? Determine whether AB and CD are parallel, perpendicular, or neither. A(2,8), B(-1, -2), C(3, 7), D(0, -3) Consider the passage and theme. 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These clinical findings are best explained by dysfunction in which of the following regions of the nervous system?A. anterior horn cellB. muscleC. nerve plexusD. peripheral nerveE. spinal cord This map of Germany reflects which conflict?O A. World War IO B. World War IIC. Cold WarD. Russian Revolution A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by 3 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data. f(x) = 3x + 26; 0 y 4 f(x) = 3x + 23; 26 y 35 f(x) = 3x + 26; 26 y 35 f(x) = 3x + 23; 0 y 4 What is an important part of the endocrine system that acts as a chemical messenger?hormonesarteriesspinal cordneurons Identify the hypotenuse.A. MNB. LN find the y intercept One student filled three-fourths of a flask with water and closed its mouth with a rubber stopper. He put a glass tube through the hole in the rubber stopper. The flask was heated on a Bunsen burner. After some time the boiling water was forced up through the glass tube as shown below. (1 point)Image of a flask sitting on a Bunsen burner, the flask is 3/4 filled with water, the flask is closed with a rubber stopper that has a glass tube through it, water is rising to approximately 1/3 of the glass tube.The student's experiment demonstrates the formation ofwellscavesgeyserssinkholes which way are the Articles of Confederation and the US Constitution similar? A. Both allow the federal government to require state payments. B. Both allow the federal government to regulate trade. C. Both allow the federal government to create a uniform federal tax rate. D. 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