An investor puts $1,200 into an account that pays 5.5% interest compounded annually. The total amount A in the account after t years is given by which function below?
A = 1200(1.55) t
A = 1200(1.055) t
A = 1200(1.055) t
A = 1200 + (1.055) t

Answers

Answer 1

Let's see

[tex]\\ \tt\leadsto A=P(1+r/n)^{nt}[/tex]

n=1

[tex]\\ \tt\leadsto A=1200(1+0.055)^t[/tex]

[tex]\\ \tt\leadsto A=1200(1.055)^t[/tex]

Answer 2

Answer:

[tex]\sf A=1200(1.055)^t[/tex]

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)

Given:

P = $1,200r = 5.5% = 0.055t = t years

Substitute the given values into the equation:

[tex]\implies \sf A=1200(1+0.055)^t[/tex]

[tex]\implies \sf A=1200(1.055)^t[/tex]

Learn more about compound interest here:

https://brainly.com/question/27222595

https://brainly.com/question/26865309


Related Questions

i gave someone a Brainliest pls

Answers

Answer:

i think the mistake was in step 1

Step-by-step explanation:

Jack and Diane are jogging back and forth along a one-mile path. They started out at 9:00 A.M. from opposite ends of the path. They passed each other in 10 minutes when Diane has gone 1/3 mile. What time will they first meet at one end of the path? You have to assume they keep jogging at the same speeds.
Explain :

Answers

Answer:

30 minutes

Step-by-step explanation:

that problem description is imprecise.

I think what is meant here : they each keep jogging at their own same speed.

Diane's speed is 1/3 miles / 10 min.

Jack's speed is 2/3 miles / 10 min.

now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.

60/10 = 6.

so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.

Diane : (1/3 × 6) / hour = 2 miles / hour

Jack : (2/3 × 6) / hour = 4 miles / hour

since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).

Diane running 1 mile going 2 miles/hour takes her 30 minutes.

Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.

so, they will meet at his starting point after 30 minutes.

write 7.263 to 1 decimal place​

Answers

Answer:

7.3

Step-by-step explanation:

When you round, you look at the number to the right of which you are rounding to.

1 decimal place would be the tenths place.

7.263

So we would look at the 6, in the hundredths place.

6 is larger than 5, so 2 would be bumped up to 3.

7.3.

I hope this helps!

Answer:

7.3

Step-by-step explanation:

rounding up from 7.263 is 7.3

The radius of a circle is 6 kilometers. What is the length of a 60° arc.​

Answers

Answer:

6.284

Step-by-step explanation:

* means multiply

formula is arc length = radius * theta

theta is fancy way of saying

make degrees into radians

you have to make 60 degrees into radians

you do that by

60 * Pi/180 = Pi/3

then you multiply that with the radius

6 * Pi/3 = 2 * Pi = 6.284

(c2−4c+7) -(7c2−5c+3).

Answers

The required solution for the given expression (c² - 4c + 7) - (7c² - 5c + 3) is -6c² + c + 4.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

(c² - 4c + 7) - (7c² - 5c + 3)

Simplify the expression by solving bracket terms,

c² - 4c + 7 - 7c² + 5c - 3

Further, solve the expression by using mathematical operations,

-6c² + c + 4

The solution for the given expression is -6c² + c + 4.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

#SPJ1

Given the functions below, find f(x)+g(x)

CHECK MY ANSWERS PLEASE

Answers

The answer is (a)..........

A box contains 5 orange pencils, 8 yellow pencils, and 4 green pencils.
Two pencils are selected, one at a time, with replacement.
Find the probability that the first pencil is green and the second pencil is yellow.
Express your answer as a decimal, rounded to the nearest hundredth.

Answers

Answer:

total pencil = 5 orange pencils + 8 yellow pencils + 4 green pencils

= 17 pencils

P (g n y) = 4/17 + 8/17

= 0.706

Step-by-step explanation:

1. first find the total number of pencils

2. since there is a replacement the demoinator remains the same

3. find the probability of each green and yellow

4. add the two probability

I need help with this

Answers

Answer:

Here,

Angle TUV + Angle NUV=TUV

By substituting the provided or given value ls in the question we obtain,

1+38x+66 Degree= 105x

1+66 Degree= 67x

67 Degree= 67x

1 Degree = x

x = 1 Degree

Therefore

Angle TUN=1+38x=39

Angle NUV=66 Degree

Therefore

1+38x+66 Degree= 105x

=39 Degree+66 Degree= 105 Degree

Therefore

Angle TUV=105 Degree

In a race competition the probability that Harry wins is 0.4, the probability that Krish wins is 0.2 and the probability that Jonny wins is 0.3.
Find the probability that Harry and Jonny wins
Harry or Krish or Jonny wins
Someone else wins.

Answers

Answer:

jonny is the winner.

Step-by-step explanation:

No. of wins harry has = 0.4

No. of wins krish has = 0.2

No. of wins jonny has = 0.3

To find the prbability of harry and jonny = 0.4 + 0.3

                                                                  =  0.7

Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.

krish = 0.2

harry = 0.4

        =  0.6

now we have all three's score, so we will now see which is the greatest number.

krish= 0.6

harry = 0.4

jonny = 0.7

The greatest number is 0.7.

Hence, jonny is the winner!

HOPE IT HELPS PLZ MARK ME BRAINLIEST :D

What is the number of degrees of freedom that should be used for finding the critical value

Answers

Answer:

tow degree of freedom.

this inform I know that from vibration method

is -3 linear pls help

Answers

Answer:

Yes it is. Graph will go down as it moves from left to right.

Step-by-step explanation:

a regular Pentagon with sides 40cm what is the perimeter​

Answers

Perimeter = namely the length of outside bordering,

well, this is a PENTAgon, or PENTA=5 or namely 5 sides, is regular so each side is the same length, so we have a polygon with 5 sides each measuring 40cm, well, its perimeter is just 40+40+40+40+40 = 200.

The lengths of nails produced in a factory are normally distributed with a mean of 6.13 centimeters and a standard deviation of 0.06 centimeters. Find the two lengths that separate the top 7% and the bottom 7%. These lengths could serve as limits used to identify which nails should be rejected.

Answers

Answer:

A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.13 centimeters and a standard deviation of 0.06 centimeters.

This means that [tex]\mu = 6.13, \sigma = 0.06[/tex]

Value that separated the top 7%:

The 100 - 7 = 93rd percentile, which is X when Z has a p-value of 0.93, so X when Z = 1.475.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.475 = \frac{X - 6.13}{0.06}[/tex]

[tex]X - 6.13 = 1.475*0.06[/tex]

[tex]X = 6.2185[/tex]

Value that separates the bottom 7%:

The 7th percentile, which is X when Z has a p-value of 0.07, so X when Z = -1.475.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.475 = \frac{X - 6.13}{0.06}[/tex]

[tex]X - 6.13 = -1.475*0.06[/tex]

[tex]X = 6.0415[/tex]

A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.

A research group at Nike decides to survey NCSU students for their preferences in clothing brands. They divide all students into groups according to the College they belong to (like College of Science, College of Architecture, etc.). Then they take a simple random sample of 50 students from EACH college. What kind of a sample is this

Answers

Answer:

Cluster sample

Step-by-step explanation:

i did it before

If I=square root-1 then i^2=

Answers

Answer:

i^−3 = i

i^−2 = −1

i^−1 = −i

i^0 = 1

i^1 = i

i^2 = −1

i^3 = −i

i^4 = 1

i^5 = i

i^ 6 = −1

See the pattern

Which angle is the vertical angle toBEC

Answers

Answer:

∠AED

Step-by-step explanation:

Vertical angles are the opposite angles of intersecting lines. ∠BEC and ∠AED are opposite and would therefore also be congruent angles.

Answer:

[tex]\angle BEC=\angle AED [vertical ~angle][/tex]

[tex]\angle AED~vertical~ angle ~to~ \angle BEC[/tex]

[tex]ANSWER:\angle AED[/tex]

-----------------------------

hope it helps...

have a great day!!

In rural Ireland, a century ago, the students had to form a line. The student at the front of the line would be asked to spell a word. If he spelled it correctly, he was allowed to sit down. If not, he received a whack on the hand with a switch and was sent to the end of the line. Suppose the student could spell correctly 60% of the words in the lesson. What is the probability that the student would be able to sit down before receiving four whacks in the hand?

Answers

Answer:

The answer is "0.9102"

Step-by-step explanation:

P(student spell correct) = 0.6

P(student spell incorrect)=1-0.6=0.4

X=the pupil will be allowed to sit down after receiving three slaps on the hand Thus, X would assume Value

X=0 (student sit sans getting whacks)

X=1 (student sit down without receiving 1 whack) (student sit down without receiving 1 whack)

X=2 (student take a seat before receiving 2 whacks)

X=3 (student sit down after receiving 3 punches)

[tex]\to P(X)=0.6 \times 0.4^0 +0.6 \times 0.4 + 0.6 \times 0.4 ^2 + 0.6 \times 0.3^3[/tex]

             [tex]=0.6 \times 1+0.24 + 0.6 \times 0.09 + 0.6 \times 0.027\\\\=0.6 +0.24 + 0.054 + 0.0162\\\\=0.9102\\\\[/tex]

in a school project you need to provide a blueprint of the schools rectangular playground .the blueprint dimensions of the playground are 23/147 yd x 3/14 yd after reducing them by the factor of 2/147 what are the original dimensions if the playground in yards

Answers

Answer:

L = 0.16 yd, W = 0.22 yd

Step-by-step explanation:

Dimensions of play ground 23/147 yd x 3/14 yd

reducing factor 2/147

Let the original length is L.

[tex]L - \frac{2L}{147} = \frac{23}{147}\\\\L\frac{143}{147} = \frac{23}{147}\\\\L=\frac{23}{143} yd[/tex]

L = 0.16 yd

Let the width is W.

[tex]W - \frac{2W}{147} = \frac{3}{14}\\\\W\frac{143}{147} = \frac{3}{14}\\\\W=0.22 yd[/tex]

21. Which of the following statements is true?
(1) -18 > -5
(2) -5 > -0.5
(3) -5> 0
(4) -5 > 52
(5) -5 > -18​

Answers

Answer: (5) -5 > -18​

Step-by-step explanation:

The farther the negative number is from 0, the smaller it becomes.Negative numbers will be smaller than positive numbers, since they're smaller than 0.

-5 is 5 away from zero, making it larger than -18 since it's closer to 0, while -18 is 18 away from zero.

F (x) = 1/3 x for x=4

Answers

Answer:

4/3

Step-by-step explanation:

Substitute in 4.

(1/3)4

Multiply

4/3

I hope this helps!

It’s 4/3 as the answer

If ∆ABC is an isosceles triangle and ∆DBE is an equilateral triangle, find each missing
measure.

Answers

Answer:

Step-by-step explanation:

The measure for each angle is shown below.

What is Equilateral Triangle?

A triangle is said to be equilateral if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Given:

As, ∆ABC and ∆DBE is an equilateral triangle.

In Equilateral Triangle all the angles are Equal.

So,  4x+ 3= 9x- 7

5x = 50

x= 10

and, <1 = <9 = 4x+ 3= 43

and, <4 = <5 = <6 = 180/ 3= 60

ans, <3 = <8 = 180-60= 120

Also, <2 = < 7 = 180- <1- <3= 17

Learn more about Equilateral Triangle here:

https://brainly.com/question/3461022

#SPJ2

Find the area of the irregular figure. Round to the nearest hundredth.

Answers

Answer:

16 sq units

Step-by-step explanation:

Full area of the square is 20. Since it’s irregular and a piece has been taken out, gotta subtract 20 by the chunk missing.
That case, 2x3=6
20-6=14
Full area of the irregular figure is 14sq units

g In the year 2005, the age-adjusted death rate per 100,000 Americans for heart disease was 222.3. In the year 2009, the age-adjusted death rate per 100,000 Americans for heart disease had changed to 213.4. a) Find an exponential model for this data, where t

Answers

This question is incomplete, the complete question is;

In the year 2005, the age-adjusted death rate per 100,000 Americans for heart disease was 222.3. In the year 2009, the age-adjusted death rate per 100,000 Americans for heart disease had changed to 213.4.

a) Find an exponential model for this data, where t = 0 corresponds to 1999

Answer:

the exponential model for this data will be; y = 222.3( 0.9898 )^t

Step-by-step explanation:

Given the data in the question;

{ 2005 }, at t = 0, death rate was 222.3

In 2009, { 2009 - 2005 = 4 }, at t = 4 death rate was 213.4

Now, let the exponential equation be;

y = ab^(t)

so at t = 0

222.3 = a × b^(0)

222.3 = a × 1

a = 222.3

at t = 4

213.4 = a × b^(4)

213.4 = 222.3 × b^(4)

b⁴ = 213.4 / 222.3

b = (  213.4 / 222.3 )^(1/4)

b = 0.9898

y = ab^(t)

Hence, the exponential model for this data will be; y = 222.3( 0.9898 )^t

what much is 1/2 - 1/4

Answers

Answer:

1/4

Step-by-step explanation:

The answer is 1/4.

1/2 is equivalent to 2/4.

2/4-1/4=1/4

1/4 + 1/4 is 1/2 , so think of it as 2+2 =4. If you subtract 4 from 2, you will get 2. So 1/2-1/4 is 1/4

A university found that 25% of its students withdraw without completing the introductory statistics course. Assume that 30 students registered for the course.Use Microsoft Excel whenever necessary and answer the following questions:Compute the probability that 2 or fewer will withdraw

Answers

Answer:

0.0106 = 1.06% probability that 2 or fewer will withdraw

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they withdraw, or they do not. The probability of an student withdrawing is independent of any other student, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of its students withdraw without completing the introductory statistics course.

This means that [tex]p = 0.25[/tex]

Assume that 30 students registered for the course.

This means that [tex]n = 30[/tex]

Compute the probability that 2 or fewer will withdraw:

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.25)^{0}.(0.75)^{30} = 0.0002[/tex]

[tex]P(X = 1) = C_{30,1}.(0.25)^{1}.(0.75)^{29} = 0.0018[/tex]

[tex]P(X = 2) = C_{30,2}.(0.25)^{2}.(0.75)^{28} = 0.0086[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0002 + 0.0018 + 0.0086 = 0.0106[/tex]

0.0106 = 1.06% probability that 2 or fewer will withdraw

Which functions have a range of {y e R | -

Answers

Answer:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

Step-by-step explanation:

idontknow

What are all the values of w such that|-W | = 5?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]w = 5, -5[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Absolute value is simply how far a digit is from zero.The digits '-5' and '5' are 5 away from zero.

Therefore:

[tex]w =\pm5[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Which rule describes the composition of transformations that maps ABC to A”B’C”

Answers

it was a reflection over the y axis and then a rotation keeping the b point the same

Which graph represents the function below?
y= { -x if x > -3
x+6, if x<(or equal to)3

Answers

Answer:

second option

Step-by-step explanation:

I'm not sure how to explain but if you really need an explanation please message me

The function that represents the absolute function will be y = -|x + 3| + 3. Then the function is represented by graph A.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

If the vertex of the absolute function is at (h, k). Then the absolute function is given as

f(x) = | x - h| + k

The function is given below.

y =    -x,    if x > -3

y = x + 6,  if x ≤ -3

The value of the functions at x = -3 is calculated as,

y = - (-3)

y = 3

y = -3 + 6

y = 3

The capability that addresses the outright capability will be y = - |x + 3| + 3. Then the capability is addressed by diagram A.

The graph is given below.

More about the absolute function link is given below.

https://brainly.com/question/10664936

#SPJ2

The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object’s distance from the center of the circular path:

A= V2/R

Solve the formula for r.

Answers

Answer:r=v^2/A

Step-by-step explanation: To solve for r means you have to isolate r on one side and put all the other terms on the other. To get r out from under the fraction, multiply both sides by r. This leaves:

A*r=v^2     so to isolate r, divide by A and get:

r=v^2/A.

Other Questions
An overall management objective is to:a. minimize the number of sales transactionsb. minimize the total amount of accounts receivablec. minimize the time from the beginning of the selling process to the end of cash collectionsd. maximize the amount of float What evidence exists to support the existence of Pangaea? Emotions that are present in humans and animals and that appear in the first 6 months of the human infant's development are known as: The specific actions to be taken in implementing a strategy. Create a new project called 02.03 Math Class Methods. Create a class called PyTheorem in the newly-created folder. Use the appropriate Math class methods to calculate the hypotenuse of two right triangles. The value of each side (sides a and b) should be randomly generated using Math.random(). The range should from 5 (inclusive) to 23 (exclusive). Print the value of each side of both triangles as well as the value of the hypotenuse for both triangles. 2. As NH4OH is added to an HCl solution, the pH of the solutionA) increases as the OH- concentration decreasesB ) increases as the OH- concentration increasesC ) decreases as the OH- concentration decreasesD ) decreases as the OH- ion concentration increases It is not usually news, when another old cave is discovered in the South of France. Rather, it is an ordinary event. Such discoveries are so frequent these days that hardly anybody pays heed to them. However, when the Lascaux cave complex was discovered in 1940, the world was amazed. Painted directly on its walls were hundreds of scenes showing how people lived thousands of years ago. The scenes show people hunting animals, such as bison or wild cats. Other images depict birds and, most noticeably,horses, which appear in more than 300 wall images, by far outnumbering all other animals. Early artists drawing these animals accomplished a monumental and difficult task. They did not limit themselves to the easily accessible walls but carried their painting materials to spaces that required climbing steep walls or crawling into narrow passages in the Lascaux complex. Unfortunately, the paintings have been exposed to the destructive action of water and temperature changes, which easily wear the images away. Because the Lascaux caves have many entrances, air movement has also damaged the images inside. Although they are not out in the open air, where natural light would have destroyed them long ago, many of the images have deteriorated and are barely recognizable. To prevent further damage, the site was closed to tourists in 1963, 23 years after it was discovered.1. Why is discovering a cave considered an ordinary event?2. What did the paintings on the walls of Lascaux cave depict?Correct answer- Brainliest! Plz help! What are the domain and range of the function f(x) = 3^x + 5? a. domain: (negative infinity, infinity); range: (0, infinity)b. domain: (negative infinity, infinity); range: (5, infinity)c. domain:(0, infinity); range: (negative infinity, infinity)d. domain: (5, infinity); range: (negative infinity, infinity) PLEASE RESPOND QUICKKK THANK YOUU What plan has been made for the human resource development in our country nepal? Which of the following is NOTtrue of the female gametedevelopment?A. The central cell divides into fourhaploid cells.B. There are multiple ovules in an ovary.C. The flower is what draws in pollinators.D. There is more than one egg cell in eachovule. Find a number such that if 16 is added to it, the ratio of the result to the original number is 4:3 On a map of a town, 3 cm represents 150 m. Two points in the town are 1 km apart. How far apart are the two points on the map? Explain What A Public Service Announcement (PSA) Is(Please Write About 7 - 10 Sentences About PSA)Free Brainliest If Written in 7 - 10 Sentences and Written Correctly Of Its' Meaning You read about an accident at a railroad crossing and wonder about the cause. Perhaps the car's driver overestimated the distance of the train because the parallel tracks stimulated the monocular depth cue of _____. Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished. the quantity of the square of the sum of 4 timesx and 3, divided by the difference of x and 10 How do you calculate joules? someone please help me I beg 9.17 LAB: Acronyms An acronym is a word formed from the initial letters of words in a set phrase. Write a program whose input is a phrase and whose output is an acronym of the input. If a word begins with a lower case letter, don't include that letter in the acronym. Assume there will be at least one upper case letter in the input. Briefly describe how each of the elements of plot work in a typical one-act play. please help!!The length of side AC is | 3,4,5,6 | units.The area of triangle ABC is | 5,10,15,20 | square units. In the 1990s there was tremendous interest by government officials in breaking up Microsoft into two companies. One of the companies would have produced operating systems for computers, like Microsoft Windows. The other company would have produced software for this operating system, like Microsoft Excel. Which concept from class could Microsoft use to argue that this breakup would increase total costs