) If you invest $2500 in an account that pays 12% interest, compounded quarterly, how much would you
have at the end of 17 years?

Answers

Answer 1

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &17 \end{cases} \\\\\\ A=2500\left(1+\frac{0.12}{4}\right)^{4\cdot 17}\implies A=2500(1.03)^{68} \implies A \approx 18658.27[/tex]

Answer 2

Answer:

18658.27

Step-by-step explanation:

) If You Invest $2500 In An Account That Pays 12% Interest, Compounded Quarterly, How Much Would Youhave

Related Questions

is 0.1213141516... a rational number

Answers

Answer:

No, because any number than produces and decimal that continuse forever is not rational.

Step-by-step explanation:

Hope it helps! =D

mike is a good athlete.Mike's father is a good athlete.Mike's sister is a good athlete.Therefore,Mike's son will be a good athlete. (Inductive or Deductive?)

Answers

Deductive is the answer for this

In Exercises 6 and 7, use the Law of Detachment to determine what you can
conclude from the given information, if possible.
6. If you eat a healthy breakfast, then you will not be hungry until lunchtime. You
are not hungry until lunchtime.
7. Adjacent angles share one common ray. ∠AOB and ∠ DOB are adjacent angles.

Answers

Using the Law of Detachment, the conclusions are given as follows:

6. No conclusion.

7. ∠AOB and ∠ DOB share one common angle.

What is the Law of Detachment?

The Law of Detachment is a logic axiom which states that if a conditional and the hypothesis of a statement are true, then the conclusion of the statement is also true.

Supposing a conditional statement p -> q, we have that the hypothesis and the conclusion are defined as follows:

p is the hypothesis.q is the conclusion.

For item 6, we have that the statements are given as follows:

Statement p: You eat a healthy breakfast.Statement q: You are not hungry until lunchtime.

We have that p->q and q are true, hence no conclusion can be reached from the law of detachment.

For item 7, we have that the statements are given as follows:

Statement p: Adjacent angles.Statement q: Share one common ray.

In this case, we have the hypothesis is true, hence the conclusion is that ∠AOB and ∠ DOB share one common angle.

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Cual es el volumen de una pirámide triangular que tiene por base 9cm x 8cm y una altura de 16 cm. Aiuda por favor es para mañana

Answers

Answer:

Step-by-step explanation:

Así que tienes que multiplicar 8x9x16 y dividir por 2 y luego multiplicar por 4 PUEDE ESTAR EQUIVOCADO ASÍ QUE TEN CUIDADO

8 1/4 + 2 5/8 = ?
I REALLY NEED HELP!!!!!!!

Answers

Answer: the answer is 10.875

Hope this helped :D

Answer:

10 7/8 Here you go :) ten seven eights

Step-by-step explanation:

Aşağıdaki sayı ikililerinden hangisinin en büyük ortak böleni 15 değildir? A) 30 ile 45 C) 60 ile 105 B) 45 ile 75 D) 75 ile 125​

Answers

Answer:

D 75 and 125

Step-by-step explanation:

cünkü en büyük ortak böleni 25 dir

prove me wrong

determine if the sequence is arithmetic. if it is find the common difference and the next 3 terms in the sequence 35, 32, 29, 26

Answers

Answer:

-3 and 23,20,17

Step-by-step explanation:

35-3=32,32-3=29

In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.

Answers

There is a 0.75 percent chance that the person is a woman with long hair.

What is probability?

Probability can be used to define potential. The occurrence of a random event is the focus of this mathematical field. There is a 0 to 1 value range. The likelihood of anything happening is often referred to as probability. Utilize probability to gauge a situation's likelihood of happening. Numerous factors are difficult to forecast with absolute precision. Using it, we can only speculate on whether or how likely it is that an event will occur. A probability scale with a value of 0 for an impossibility and 1 for a certainty. In a sample space, there is a one probability for every event.

E is the probability of an event . Hence,

P(E) is the ratio of favorable results to all outcomes.

In probability, an event is deemed dependent if it is impacted by other occurrences, and independent if it is wholly unaffected by the occurrence of any other event.

By applying the literature and formulas previously mentioned, we have:

F should signify for the fact that the student is female, and L should stand for the fact that the student has long hair.

P(F)

= 0.60

P(L)

= 0.50

P(F AND L)

= 0.45

P(L|F)

= 0.75

There is a probability of  0.75 that a randomly chosen student has long hair.

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1. One of two supplementary angles is four times the other. Find the largest angle.

Answers

144 is  the largest angle in  supplementary angle .

What is an example of a supplementary angle?

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, the sum of angle 130° and angle 50° is 180°, hence they are supplementary angles.The pair of angles known as supplementary angles always add up to 180 degrees. The terms "supplements" for these two viewpoints describe them. The Latin terms "Supplere" and "Plere," which mean "supply" and "fill," respectively, are the source of the English word "supplementary."

Let one angle = x

then other angle is four times the other = 4x

 x + 4x = 180

   5x = 180

     x = 180/5

     x = 36

smaller angle = 36

largest angle = 4x = 4 * 36 = 144

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Taylor is struggling with literal equations. She has tried to solve the equation below for several times but still can't get the correct answer. Her steps that she used to solve for m are shown below. In which step is she making an error?

Answers

The step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

In this question, we have been given Taylor is solving a literal equation (x + 3y) / 2 = 40v

We have been given her steps that she used to solve for y.

We need to find an error in the steps.

First we solve given literal equation for y.

(x + 3y) / 2 = 40v

x + 3y = 40v × 2                     .................(Multiply both the sides by 2)

x + 3y = 80v

x + 3y - x = 80v - x                 ...................(Subtract x from both the sides)

3y = 80v - x

y = (80v - x)/3                          ............(Divide each side by 3)

If we observe Taylor's steps, we can see that there's an error in the step 3y = 80v + x.

Therefore, the step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

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Please help with this math problem! Thank you! :D

Answers

Answer:

C

Step-by-step explanation:

[tex]\sqrt{2}[/tex] and [tex]\frac{1}{\sqrt{2}}[/tex] are both irrational, but they multiply to 1, which is rational

A plot of corn is 7 2/3 yards wide. It is 6 times as long as it is wide. How long is the plot of corn?​

Answers

Answer:

length = 46 yards

Step-by-step explanation:

width = [tex]7\frac{2}{3}[/tex] yards

length = 6 times the width

[tex]7\frac{2}{3} *6 = 46[/tex]

length = 46 yards

2/11 multiplied by 7/3

Answers

Step-by-step explanation:

14/33.

step 1. in the denominator you find the Lowest commons multiple, since 11 and 3 don't have common multiples, you just do 11 x 3 which is 33. you denomination would be 33

step 2. multiply 2 and 7 which is 14. your answer is 14/33.

15 equals the sum of three and six times a number

Answers

Answer: 15 equals the sum of 3 + 6 x 2

Step-by-step explanation: 6x2 is 12 and if you add 3 it is equal to 15, but it is better if you rewrote the equation as 3 + (6x2), that way it is more understandable

find the number of calories in a stalk of celery and in a carrot, a carrot hs 13 calories more then a celerystalk, five carrots and 1o celery stalks have only 170 calories

Answers

The number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

What is defined as the method of substitution?The algebraic method for solving simultaneous linear equations is the substitution method. The value with one variable through one equation is replaced in the other equation, as the name implies.

For the given question;

Let the number of calories present in carrot is 'x'.

Let the number of calorie present in celerystalk is 'y'.

Carrot has 13 more calories than celerystalk.

Thus,

x = y + 13   ......eq 1

Now, 5 carrots and 10 celery stalks have total 170 calories.

The equation becomes.

5x + 10y = 170

Substitute the value of x from eq 1.

5(y + 13) + 10y = 170

Simplify the equation;

5y + 65 + 10y = 170

15y = 105

y = 7 (number of calories in stalk of celerystalk)

Put the value of y in eq 1.

x = y + 13

x = 7 + 13  

x = 20 (number of calories in stalk of carrot)

Thus, the number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

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Help me solve this!!

Answers

Answer:

3.3 x 10^-4

Step-by-step explanation:

It's 3.3 x 10^-4 because 3.3 x 10^-4 would be 0.00033 and 8.0 x 10^0 would be 1 so 0.00033 x 1 = 0.00033. Then when we plug 0.00033 into scientific notation we will get 3.3 x 10^-4

Question 2 of 10
Which of the following are solutions to the equation below?
Check all that apply.
x² - 6x +9=11
A. x= √√√2 +6
B. x = -√11 +3
C. x = -√2 +6
D. x= √11 +3
E. x=2+√√6
OF. x=2-√6

Answers

The solutions of the quadratic equation x² - 6x +9=11 is found to be            x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]. So, Option B and D are correct.

What is a quadratic equation?

A quadratic equation is ax² + bx + c = 0 .  Another name for the terms a, b, and c is quadratic coefficients.

The values of the unknown variable x that fulfill the quadratic equation are the solutions to the problem. Quadratic equations' roots are known as these solutions.

Given equation:  x² - 6x +9=11

Subtract 11 on both sides

x² - 6x +9 +(-11) =11 - 11

x² - 6x - 2 = 0

Solving using the quadratic formula,

x = [tex]\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]\frac{-b - \sqrt{b^{2}-4ac } }{2a}[/tex]

x = [tex]\frac{6 + \sqrt{-6^{2}-4(-2) } }{2}[/tex]  or  [tex]\frac{6 - \sqrt{-6^{2}-4(-2) } }{2}[/tex]

x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]

Therefore, the solutions of the quadratic equation x² - 6x +9=11 is found to be x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]. So, Option B and D are correct.

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how to divide 40 by 178
178/40

Answers

Answer: 0.224

Step-by-step explanation:

40/178= 0.224

work in the pic

 

It's one more question after this i think guys. Thank for all your help!
30 points

Answers

The solution for x in the given expression (7 = 3x/9) is: C. 21.

What is an expression?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to describe the steps that should be taken to rearrange and solve for x. Therefore, the appropriate and required steps are listed as follows:

Multiplying both sides by 9, we have:

9 × 7 = 3x/9 × 9

63 = 3x

Dividing both sides by 3, we have:

3x/3 = 63/3

x = 21.

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Tell how the Commutative and Associative Properties of Addition can help you evaluate the expression.

Answers

The value of the fraction given as - 1 3/4 - (-8 1/3) - (- 4 1/4) will be 10 5/6.

How to calculate the fraction?

It should be noted that a fraction is simply used to represent the numbers that aren't whole. The commutative property of addition states that the sum is unaffected by the order of the addends.

According to the associative property of addition, the grouping of integers does not affect the sum.

Based on the information given, the fraction is illustrated as:

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

Note that (-) × (-) = +

Therefore,

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

= - 1 3/4 + 8 1/3 + 4 1/4

The LCM of the denominator is 12

= - 1 9/12 + 8 4/12 + 4 3/12

= 12 7/12 - 1 9/12

= 10 10/12

= 10 5/6

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Nico earns $12.50 per hour as a math tutor. she that the relationship between the amount he earns and the number of hours he tutors is a proportional relationship. then write the equation for the relationship

Answers

Answer: [tex]y=12.50x[/tex]

Step-by-step explanation:

Let the number of hours be x and the total earnings in dollars be y. Since the total amount of money earned is the number of hours times the amount earned per hour, the equation is [tex]y=12.50x[/tex].

The Sydney Opera House can house no more than 5738 people. Luisa Miller always brings crowds of at least 4,000 people. What is the maximum number of empty seats that might not be filled during her performance?

Answers

Answer:

a maximum of 1,738 empty seats

Step-by-step explanation:

5,738 - 4,000 = 1,738

Write the function rule g(x) after the given transformations of the graph of f(x) = 6x.
reflection in the x-axis; vertical compression by a factor of
2
g(x) =

Answers

Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

What is transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Transformations can be divided into four categories: translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

Given Data

f(x) = 6x

The resulting function will be f(x) = -6x if the function is not reflected over the x-axis.

The final function rule will be; if the resulting function is compressed by a factor of 1/12.

g(x) = 1/12(-6x)

g(x) = -1/2x

Given the transformations of the graph of f(x)=6x, the function rule g(x) is therefore g(x) = -1/2x.

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Please help me with math lol

Answers

Answer for 1: 16.4
Answer for 2: 10.095
Answer for 3: 7.431
Answer for 4: 2.31
Answer for 5: 42.74
Answer for 6: 10.224
Answer for 7: 4.436
Answer for 8: 20.574
Answer for  9: 35.626
Answer for 10: 31.042
Answer for 11: 84.708
Answer for 12: 53.066
Answer for 13: 0.0061
Answer for 14: 7.092
Answer for 15: 1.463
Answer for 16: 92.0898

I hope this helps :)

Help please , THANKS!
:DD

Answers

Answer:

73°

Step-by-step explanation:

To find ∠QPS, just add ∠1 and∠2

∠QPS = ∠1 + ∠2

          = 44° + 29°

          = 73°

Answer:

∠QPS = 73°

Step-by-step explanation:

∠1 = 44°

∠2 = 29°

∠QPS = ∠1 + ∠2 = 44° + 29° = 73°

Suppose U={1,2,3,4,5,6,7,8} is the universal set and P={2,4,6,8}. Then what is P?
{0,1,3,5,7}
{0,1,3,5,7,9}
{1,3,5,7}
{ }

Answers

{ } pls i right,or u can help me out

(7.98 × 104) + (2.02 x 10-4)

Answers

Answer: 846.12

Step-by-step explanation:


Carpet installers often are paid by the square foot rather than by the hour. If a certain installer is paid $0.50 per square foot, how much would he earn on a day when he installed 896 sq ft of carpet?

Answers

Answer:

$44.80

Step-by-step explanation:

Multiply 0.50 by 896.

Felipe is having a party. He'll have 4 tables for every 20 guests. Complete the table below showing the number of tables and the number of guests. See the table on the bottom.
( Table: ?, 1 20,4 35,? ?,8 50,?)

Answers

Using a proportional relationship, the table relating the number of guests and number of tables is given by the image at the end of the answer.

How to represent a direct proportional relationship?

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, according to the equation below:

y = kx.

In the context of the problem, the variables are given as follows:

y: Number of tables.x: Number of guests.

He'll have 4 tables for every 20 guests, hence the constant is given as follows:

k = 4/20 = 1/5 = 0.2.

Hence the relation is:

y = 0.2x.

For 1 table, the number of guests is:

0.2x = 1 -> x = 5.

For 8 tables, the number of guests is:

0.2x = 8 -> x = 8/0.2 = 40.

For 35 guests, the number of tables is:

y = 0.2 x 35 = 7.

For 50 guests, the number of tables is:

y = 0.2 x 50 = 10.

The table with these measures is given by the image at the end of the answer.

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Find the total surface area of this cone.
Leave your answer in terms of T.
25m
8m
SA = [?]π m²
Hint: Surface Area of a Cone = Tre + B
Where = slant height, and B = area of the base
Enter

Answers

Answer:

264

Step-by-step explanation:

The area of the base is [tex]\pi(8)^2=64\pi [/tex].

So, the surface area is [tex]\pi(8)(25)+64\pi=264\pi[/tex]

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