What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?

Answers

Answer 1

Answer:

final balance = 24,634.02

compound interest = 19,634.02

Step-by-step explanation: not my answer


Related Questions

In a sociology class there are 14 men and 10 women. 3 students are randomly selected to present a topic. What is the probability that at least 1 of the 3 students selected is female? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

0.8015

Step-by-step explanation:

Hope I'm correct lol

Find the missing side round your answer to the nearest tenth

Answers

Answer:

x=13.2

Step-by-step explanation:

cos(43)=x/18

x=18×cos(43)

x=13.2

Answered by GAUTHMATH

bionomial probabilities

Answers

Answer:

Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

Hope this will help you :)

Shortern this expression pls​

Answers

Answer:

[tex]c =\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}[/tex]

Required

Shorten

We have:

[tex]c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}[/tex]

Rationalize

[tex]c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}[/tex]

Expand

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

[tex]c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} + \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}[/tex]

[tex]c = \sqrt{\frac{(4 + \sqrt 7)^2}{9}} + \sqrt{\frac{(4 - \sqrt 7)^2}{9}[/tex]

Take positive square roots

[tex]c =\frac{4 + \sqrt 7}{3} + \frac{4 - \sqrt 7}{3}[/tex]

Take LCM

[tex]c =\frac{4 + \sqrt 7 + 4 - \sqrt 7}{3}[/tex]

Collect like terms

[tex]c =\frac{4 + 4+ \sqrt 7 - \sqrt 7}{3}[/tex]

[tex]c =\frac{8}{3}[/tex]

The LARGEST angle has a measure of ______degrees

Answers

Answer:

90 i think

Step-by-step explanation:

If the mean age of the managers in company is 52 years with a standard deviation of 2.5 years, what is the probability that a randomly chosen manager will be between 54.5 and 57 years old

Answers

Answer:

13.5 %

Step-by-step explanation:

For a normal distribution, the Empirical Rule states that 68% of values lie between 1 standard deviation of the mean, 95% of values lie between 2 standard deviations of the mean, and 99.7% of values lie between 3 standard deviations of the mean. Here, we can see that 54.5 is 1 standard deviation away from the mean and 57 is 2 standard deviations away. This means that we want to find the difference between 1 and 2 standard deviations from the mean (in the positive direction)

To find the difference, we can simply find (percent of values 2 standard deviations of the mean) - (percent of values 1 standard deviation from the mean) = percent of values between 1 and 2 standard deviations from the mean

= 95-68 = 27 %

Finally, this gives us the percent of values between 1 and 2 standard deviations from the mean on both sides. We want to only find the positive aspect of this, as we don't care how many values are between 49.5 and 47 years old. Because normal distributions are symmetric, or equal on both sides of the mean, we can simply divide by 2 to eliminate the half we don't want, resulting in 27/2 = 13.5

The probability that a randomly chosen manager will be between 54.5 and 57 years old is 0.8413.

Given that, average age managers = 52 years standard deviation = 2.5 years.

What is standard deviation?

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Considering the equation Z =  (X−μ)/σ

Where, X is the lower or higher value, as the case may be μ  is the average σ  is standard deviation

Now, z1= (54.5 - 52)/2.5

= 1

z2= (57 - 52)/2.5

= 2

Now, z2-z1= 2-1

= 1

P(54.5>Z<57)= 0.8413

Therefore, the probability that a randomly chosen manager will be between 54.5 and 57 years old is 0.8413.

Learn more about the standard deviation visit:

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a. 8
b. 10
c. 3
d. 4

Answers

Answer:

4

Step-by-step explanation:

The number on the right  squared in equal to the number on the left

5^2 =25

6^2 = 36

What squared = 16

4^2 = 16

The the missing number is 4

find out the area of ​​the following composite figures​

Answers

Answer:

First composite: 30cm^2
Second composite: 18cm^2

Step-by-step explanation:

Area for the first composite = l • w where l = length w = width

We will first need to break it into two pieces!

One piece can be a rectangle shape and another piece can be the square above the rectangle.

Solve for the area of the rectangle!

Area of the rectangle = L • 8

The length isn’t given but we see that the whole length is 5 and if we subtracted the length from the square we can actually get the missing length for the rectangle.

Length of the rectangle = (5 - 2)

Length of the rectangle = 3

Area of the rectangle = 3 • 8

Area of the rectangle = 24cm^2

Now solve for the area of the square!

Area = L • W

Area = 2 • 3

Area = 6

Finally add the area of the two shapes!

24 + 6 = 30cm^2
•••••••••••••••••••••••••••••••••••••••••••••
Area for the second composite = L • W

Again, we’ll need to break it into two pieces. One piece would be the top rectangle, another piece would be the bottom rectangle.

Area for the top rectangle = 2 • 4

Area for the top rectangle = 8cm^2

Now solve for the area of the bottom rectangle!

Area for the bottom rectangle = 2 • 5

Area for the bottom rectangle = 10cm^2

Finally add the area of the two shapes!

8 + 10 = 18cm^2




Ilang litro ng tubig ang kailangang isalin sa timba na naglalaman ng 10 000 mililitro

Answers

Answer

nghiệmTrảingu       từng bước:

1. Choose the correct decimal for "three tenths."
3
0.03
0.003
0.3
Please hurry, if you do reply thank u, it means alot! <3 :)

Answers

Answer:

3 tenths means 3 over ten represented as as 3/10 and 10 has one zero I.e tenth different from hundredths which has 2 zeros so our decimal shld also have one zero which is 0.3...so 0.3 is the answe hope it helps❤

the two roots a minus the square root of b and a plus the square root of b are called

Answers

Answer:

The two roots a+√b and a-√b are called Conjugate radicals

Step-by-step explanation:

I'd really appreciate a brainleast:)

Use the graph below to determine the equation of the circle in (a) center-radius form and (b) general form.

Answers

9514 1404 393

Answer:

(x +5)² +(y -3)² = 25x² +y² +10x -6y +9 = 0

Step-by-step explanation:

The "center-radius" form is ...

  (x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r

The graphed circle has its center at (-5, 3) and a radius of 5. Putting these numbers into the above form gives the equation ...

  (x +5)² +(y -3)² = 25 . . . . center-radius form

Expanding the parentheses, we get ...

  x² +10x +25 +y² -6y +9 = 25

Subtracting 25, and putting in general form, the equation becomes ...

  x² +y² +10x -6y +9 = 0 . . . . general form

_____

Additional comment

General form is f(x, y) = 0, where the terms of f(x, y) are lexicographical order and decreasing degree.

A teacher finishes explaining a new concept to the class and wants to check that all the students have grasped the concept. The teacher asks those who do not understand to raise their hands. This process leads to which of the following bias(es)?

a) Response bias
b) Measurement bias
c) Both response bias and measurement bias
d) neither response bias nor measurement bias

Answers

Answer:

response bias

Step-by-step explanation:

because whan you are asked a question you expect response in return

Listed below are the overhead widths​ (in cm) of seals measured from photographs and the weights​ (in kg) of the seals. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the critical values of r using α=0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the​ seals?

Answers

Answer:

1.) scatter plot is attached below.

There is no sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals.

Step-by-step explanation:

Given the data :

Overhead width : 7.2 7.5 9.7 9.3 8.7 8.2

Weight : 119 156 243 200 199 188

The linear correlation Coefficient, R = 0.946

Using the Pvalue calculator for R score ;

Pvalue = 0.0149

Since, Pvalue > Α ; WE fail to reject the Null and conclude that there is no sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals.

Grams in this equation

Answers

30 .650 pounds of gramsin vegetables

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 21.5 centimeters. After 24 hours of burning, its height is 19.6 centimeters. What is the height of the candle after 11 hours?

Answers

YEsStep-by-step explanation:

The population of City A in 2000 was 40 thousand people and the population increased by 13% each year. The function f determines the population of this city (in thousands of people) in terms of x . Write a function formula for f .

Answers

Answer:

f(x) = 40(1 + 0.13)^x

Step-by-step explanation:

The general formula for an exponential growth function is;

f(x) = a(1 + r)^x

Where;

a= initial population of the city

r= population growth rate

x = number of years

Given that;

a= 40,000

r= 0.13

The population of the city in thousands of people in terms of x is;

f(x) = 40(1 + 0.13)^x

Find the unit price of each of the following items Round your answer to the nearest tenth
frozen orange juice
16.0% at $2.01
12 oz at $1.69

Answers

Answer:

12.56 cents

14.08 cent

Step-by-step explanation:

The unit price for each of the following items could be obtained thus :

The unit price = price of one item

Therefore, given that x numbers of a certain item cost y ;

The unit price will be : y / x

frozen orange juice

16.0 oz at $2.01

12 oz at $1.69

If 16 oz cost $2.01

1 oz = $2.01 / 16 = $0.125625 * 100 = 12.56 cents

If 12 oz = $1.69

1 oz = $1.69 / 12 = $0.1408333 * 100 = 14.08 cent

Please help me with this question
In a class of 30 students, 4 received a grade of A. What fraction of the class did not receive an A? Reduce to the lowest terms.

Answers

Answer: 13/15

Step-by-step explanation:

Given:

Total number of students = 30

Number of students received an A = 4

Solve:

STEP ONE: Find the number of students who did not receive an A

No A = Total - Yes A

No A = 30 - 4

No A = 26

STEP TWO: Find the fraction of the class that didn't receive an A

Fraction = No A / Total

Fraction = 26 / 30

Fraction = 13 / 15

Hope this helps!! :)

Please let me know if you have any questions

There are 9 members on a board of directors. If they must form a subcommittee of 4 members, how many different subcommitteeses are possible?

Answers

Answer:

126

Step-by-step explanation:

9 choose 4 (Order does not matter)

9 nCr 4 = 126

use the elimination method to slove the system of equations.choose the correct ordered pair.6x+2y=8 12x+y=22

Answers

Answer: use photo. math

Step-by-step explanation:

boom

1) Seven less than twice a number, n, is 32.
A. 7 - 2n = 32
B. 2n - 7 = 32
C. 7-n=2.32
D. (n - 7). 2 = 32

Answers

1) Seven less than twice a number, n, is 32.

ANS) B. 2n - 7 = 32

Answer:

1.

B. 2n - 7 = 32 is the right answer

7. A machine produces memory sticks of varying lengths, distributed uniformly between 3mm and 13 mm. Memory sticks longer than 10 mm do not meet the design criteria and must be scrapped. Calculate the proportion of memory sticks that will be scrapped, which is the probability that memory stickers longer than 10 mm will be scrapped.

Answers

Answer:

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Distributed uniformly between 3mm and 13 mm.

This means that [tex]a = 3, b = 13[/tex]

Calculate the proportion of memory sticks that will be scrapped:

[tex]P(X > 10) = \frac{13 - 10}{13 - 3} = \frac{3}{10} = 0.3[/tex]

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

Four- sevenths of the children in class earned A's on the last math test. 18 children did not earn an A. How many earned A's? SHOW ALL WORK!!!

Answers

Answer: 24 people earnt As

Step-by-step explanation:

1. We know that 18 people are the other 3/7 of the class

2. We first find out 1/7, which is calculated by dividing 3/7 by 3, which is 18 / 3 so 6

3. We can then find 4/7 by multiplying the amount of 1/7 by 4, so 6 x 4 = 24

can anybody help me with this?

Answers

Answer:

Option (a)

Step-by-step explanation:

[tex]\sqrt[6]{1000m^{3} n^{12} } = \sqrt[6]{10^{3} } \sqrt[6]{m^{3} } \sqrt[6]{n^{12} } =\\\sqrt{10} \sqrt{m} n^{2} = n^{2} \sqrt{10m}[/tex]

Terry got 27 out of 50 for his Maths test. What is his mark as a percentage?

Answers

Answer:

54%

Step-by-step explanation:

Concepts:

A percent is a value indicating hundredth parts of any number. 1%/one percent would be equal to a hundredth part, and 100% would be the entire quantity.

Solving:

Let's solve this problem by going through the steps to find the percentage.

1. Find out the entire amount

Since Terry got 27/50 on his math test, we can assume he got 27 questions right out of 50 questions. This means, in total, there was 50 questions.

2. Divide the number you want expressed as a percent by the total quantity

The number we want in this question to be expressed as a percent is 27, and the total quantity is 50.27 ÷ 50 = 0.54

3. Multiply the resulting value by 100

The result we got when we divided 27 by 50 is 0.540.54 · 100 = 54

4. Add the percent symbol (%) at the end of the value

The value we got was the number 5454%

Therefore, Terry's marks as a percentage is 54%.

In a random sample of 7 residents of the state of Maine, the mean waste recycled per person per day was 1.4 pounds with a standard deviation of 0.23 pounds.
a. Determine the 95% confidence interval for the mean waste recycled per person per day for the population of Maine. Assume the population is approximately normal.
b. Find the critical value that should be used in constructing the confidence interval.

Answers

Answer:

a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

b) [tex]T_c = 2.4469[/tex]

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.4469, and the answer to question b is [tex]T_c = 2.4469[/tex]

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.4469\frac{0.23}{\sqrt{7}} = 0.21[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.

The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.

The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

Find a homogeneous second-order Cauchy-Euler equation with real coefficients if the given number is a root of its auxiliary equation.

mi= i
C1cos(ln(x)) + C2sin(ln(x))

Answers

I'm going to assume that you mean to say that i = √(-1) is a root of the auxiliary equation. That is, if the Cauchy-Euler DE is

x ²y'' + axy' + by = 0

then the auxiliary equation obtained by substituting y = xᵐ is

x ² (m (m - 1) xᵐ ²) + ax (m xᵐ ¹) + bxᵐ = 0

which reduces to

m (m - 1) + am + b = 0

or

m ² + (a - 1) m + b = 0

By the fundamental theorem of algebra, we can write the quadratic in terms of its roots r₁ and r₂,

(m - r₁) (m - r₂) = 0

Given that one root is the imaginary unit i, and the coefficients of the aux. equation are real, it follows that the other root is -i, because complex roots must occur with their conjugates. So we have as our aux. equation,

(m - i ) (m + i ) = 0

or

m ² + 1 = 0

Then a - 1 = 0 and b = 1, so that the given root and general solution correspond to the DE,

x ²y'' + xy' + y = 0

A route up a mountain is 20 Km long. john followed this route at an average speed of xkm/h. write down an expression in terms of x,for the number of hours he took to walk up the mountain.​

Answers

Answer:

20/x

Step-by-step explanation:

speed = distance /time

x km/h is speed

20 km is distance

x= 20/t

t= 20/x

Speed = d/t
T = d/ speed
T = 20/ X

A patient consumes 2,000 calories of which 1200 calories were from carbohydrates. What percent of calories were from carbohydrates? Round the answer to the nearest integer.

Answers

Answer:

60%

Step-by-step explanation:

1200/2000=.6 or 60%

60%of calories were from carbohydrates.

What is percentage?

a relative value that represents one tenth of any amount. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified. percentage. Percentile in mathematics is a related topic.

Given

1200/2000=.6 or 60%

Hence, 60%of calories were from carbohydrates.

To learn more about percentage refer to:

https://brainly.com/question/843074

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