Mathematics College

Suppose you invest $7500 at an annual interest rate of 4.2% compounded continuously. How much will you have in the account after 2 years? Round the solution to the nearest dollar.

$17,373

$8158

$8157

$17,372

Answers

Answer 1

Answer:

$ 8157

Step-by-step explanation:

7500 e^.042(2)   =  8157.22  ~ 8157

Related Questions

When are two angles complementary?

Answers

Answer:

90 degree's

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

When are two angles complementary?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Two angles are complementary when they add up to [tex]\tt{90\textdegree}[/tex].

For example:-

Angles whose measures are 60º and 30º are complementary because they add up to 90º.

Now, supplementary angles add up to [tex]\tt{180\textdegree}[/tex].

For example, angles whose measures are 140º and 40º are supplementary because they add up to 180º.

Good luck.

   

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

What is the algebraic rule?? And how do you find out what algebraic rule on a graph is (x,y)to (x,y+10)??? I know how to find basic rules according to the degree rotation but I don’t understand what does + 10 mean how am I supposed to find that on a graph based on rotation degrees???

The teacher never taught me please help me

Thank you!

Answers

Answer:

  (x, y) ⇒ (-x, y)

Step-by-step explanation:

When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.

Here, vertices VWX are in clockwise order. The corresponding vertices V'W'X' are in counterclockwise order. For that to happen, there must be a reflection involved.

The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.

The algebraic rule for these two figures is ...

  (x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes

__

Additional comment

No rotation is involved here.

The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This is the algebraic rule.

)) What is 2.1 x 3.2?​

Answers

the answer is 6.72.

2.1 x 3.2 = 6.72

Answer:

6.72 is the answer

A class of 30 swim team members took a life saving test 18 of the members had an average of 92 points the remaining members had an average score of 84 points what was the average for the entire swim team

Answers

Answer:

88.8

Step-by-step explanation:

A _____ has to be paid in full on the due date.

Answers

A credit card has to be paid in full on the due date. The correct option among all the options that are given in the question is the first option. The other choices are incorrect and can be easily neglected. The amount of money that the credit card company bills for a month has to be paid in full within the due date or additional fine would be added to the next bill.

What is the volume of the figure composed of two congruent triangular prisms if a = 5 units, b = 3 units, and c = 6 units?
A.
60 cubic units
B.
45 cubic units
C.
90 cubic units
D.
180 cubic units

Answers

you multiply 5x6 =30x2 =60 so the correct answer would be A

Please solve with explanation (high points)

Answers

The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°

What is a regular polygon?

A regular polygon is one that is two-dimensional and can be created at least three lines together.

Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.

Learn more about polygons are
https://brainly.com/question/1592456
#SPJ1

PLEASE HELP ME!!! Fist person to answer gets brainly

Answers

Step-by-step explanation:

I only know the answer for the second task

1st Image:-

Answer:

a) No
b) No
c) Yes
d) No

Step-by-Step Explanation:

We can use the Pythagoras Theorem to check whether it is a right triangle.

Hypotenuse^2 = 1st Side^2 + 2nd Side^2

a) 7, 12, 14

Therefore,
=> 14^2 = 7^2 + 12^2
=> 196 = 193
RHS is not equal to LHS.

Therefore, its not a Right Triangle.

b) 6, 14, 19

Therefore,
=> 19^2 = 6^2 + 14^2
=> 361 = 232
RHS is not equal to LHS.

Therefore, its not a Right Triangle.

c) 12, 35, 37

Therefore,
=> 37^2 = 12^2 + 35^2
=> 1369 = 1369
RHS is equal to LHS.

Therefore, it is a Right Triangle.

d) 4, 8, 9

Therefore,
=> 9^2 = 4^2 + 8^2
=> 81 = 80
RHS is not equal to LHS.

Therefore, its not a Right Triangle.

2nd Image:-

Answer: 352 ft^3

Step-by-Step Explanation:

r = 4 ft
h = 7 ft

Volume = πr^2h

Therefore,
= πr^2h
= π * r^2 * h
= 3.14 * 4^2 * 7
= 3.14 * 16 * 7
= 351.68

Volume = 351.68 ft^3
Rounded off = 352 ft^3

If you appreciate the effort that I put into making this answer, please mark it as Brainliest. Thank you.

Write down two different expressions that are equivalent to 5x + 2 – 4y.

Answers

Answer:

2 + 5x - 4y

OR

-4y + 5x + 2

Step-by-step explanation:

The order of arrangement doesn't matter, what matters are the signs

what is the reference angle for a 240 degree angle?

Answers

The reference angle for 240° is 60° because 240 is in quadrant III. If you were to subtract 240 from 180 you’d get 60.

PLEASE HELP

Log,3 7=x is equivalent to which of the following (choose all correct answers)

Answers

Answer:

should be 3^X = 7 and X = log7/log3

Step-by-step explanation:

Answer:

[tex]3^x = 7\\x = \frac{log7}{log3}[/tex]

In the figure, A ABC is similar to ADEF.
What is mZ1?
B
77
F1
O 103
E
62
O 118°
D
O 139°
O 167

Answers

Answer:

need pictures of questions

Step-by-step explanation:

please

Solve equation by using the quadratic formula.
2x² - 5x = 7

Answers

Answer:

c

Step-by-step explanation:

trust

NEED ANSWERS TO 25 APSPSLANDEBEB PLEASE

Answers

Answer:
New point location is (2,0)

Explanation:
I’ve attached my work
Hope it helps, let me know if you have any questions !

Tracey bought a diamond ring appraised at $1200 at an antique store. If diamonds have appreciated in value at an annual rate of 12%, what was the value of the ring 10 years ago? (Round your answer to the nearest dollar.)

Answers

Answer:

1600 / 1.1^10 = $616.87

Step-by-step explanation:

Im not so sure, but here

the value of the diamond ring 10 years ago was approximately $419.47

To find the value of the diamond ring 10 years ago, we need to calculate its original value before the annual appreciation.

Let's assume the original value of the ring 10 years ago was "x" dollars.

After 10 years, with an annual appreciation rate of 12%, the value of the ring became $1200.

The formula to calculate the future value (FV) of an investment with compound interest is:

FV = PV * (1 + r)ⁿ

where:

FV = future value

PV = present value (original value)

r = annual interest rate (as a decimal)

n = number of years

In this case, we have:

FV = $1200 (present value after 10 years)

r = 12% (0.12 as a decimal)

n = 10 years

Now, we can rearrange the formula to find the original value (PV):

PV = FV / (1 + r)ⁿ

PV = $1200 / (1 + 0.12)¹⁰

PV = $1200 / 2.85610019

PV ≈ $419.47

So, the value of the diamond ring 10 years ago was approximately $419 (rounded to the nearest dollar).

Learn more about compound interest here

https://brainly.com/question/33985232

#SPJ2

How do I find the perimeter of a regular triangular pyramid?

Answers

Answer:Triangular Pyramid Solved Examples Example 1: Find the surface area of a triangular pyramid with the base area is 28cm.sq., the perimeter is 20cm, slant length is 5cm. Solution: Surface area = [Base area] + ½ × Perimeter × [Slant length] = 28 + ½ × 20 × 5 = 28 + 50 = 78 cm.sq.

Step-by-step explanation:

Before a renovation, a movie theater had 120 seats. After the renovation, the theater has 162 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.​

Answers

Answer:

35%

Step-by-step explanation:

Percent increase is (new number - old number) / old number

(162 - 120) / 120 = 42 / 120 = 0.35 = 35%

find the product of smallest natural number and the smallest whole number​

Answers

the smallest natural number is 1 and the smallest whole number is 0 so
1x0=0
i hope that’s right

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 15 more than the second.

Answers

Answer:

Angle #1 is 45 degrees

Angle #2 is 60 degrees

Angle #3 is 75 degrees

Step-by-step explanation:

x- angle #1

y- angle #2

(180-x-y)- angle #3

3x=180-x

4x=180

x=45

180-x-y=y+15

y=60

180-60-45=

180-105= 75

What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of −1? (6 points) a f(x) = −1 cos πx + 2 b f(x) = −1 cos (x − π) + 2 c f(x) = 2 cos (x − π) − 1 d f(x) = 2 cos πx − 1

Answers

Answer:

  c.  f(x) = 2 cos(x − π) − 1

Step-by-step explanation:

The amplitude is the multiplier of the cosine function. The vertical shift is a constant added to the cosine function. The horizontal shift is a value subtracted from x in the argument of the cosine function.

For amplitude 2, vertical shift -1, and horizontal shift π, the function will look like ...

  f(x) = 2·cos(x -π) -1

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x + 10 and y = 4x – 10?
Select two options.
y=x2 + 5x + 10
y + 5x = x2 + 10 + 4x - 10
0 = x2-9x 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.​

Answers

y=x2 + 5x + 10

y + 5x = x2 + 10 + 4x - 10

0 = x2-9x 0 = x2 - 9x + 20

A cable television company has 8000 subscribers in a suburban community. The company offers two premium​ channels, A and B. If 2350 subscribers receive channel​ A, 1860 receive channel​ B, and 5220 do not receive any premium​ channel, how many subscribers receive both channel A and channel​ B?

Answers

Answer:

The answer is 4,530

Step-by-step explanation:

2550 + 1980 = 4,530

50 POINTS WILL MARK BRAINLIEST

Answers

Answer: A and B.
The scale factors can be found by writing the corresponding bases of the two rectangles as a ratio, which gives either 2:10 or 10:2. Ratios can also be written as fractions, so the scale factors then become either 1/5 or 5. The answers are A and B.

Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack

Answers

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :

[tex]17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14[/tex]

Let he has n pencils

So

[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}+5=17[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}=12[/tex]

[tex]\\ \rm\hookrightarrow 6n=84[/tex]

[tex]\\ \rm\hookrightarrow n=14[/tex]

A raffle at a local fair has tickets for purchase for $10 each. There are 100 total tickets in the raffle. The tickets are shuffled, then 3 are selected to win a $100 prize. Use the table below to help you calculate the expected value of this raffle.

Answers

If the probability of success is 0.03. Then the expected value of the raffle will be 3.

What is binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

The expected value X will be given below.

E(X) = np

A raffle at a local fair has tickets for purchase for $10 each.

There are 100 total tickets in the raffle.

The tickets are shuffled, then 3 are selected to win a $100 prize.

Then the probability of success will be

p = 3/100

p = 0.03

Then the expected value of the raffle will be

n = 100

Then we have

E(X) = np

E(X) = 100 x 0.03

E(X) = 3

Learn more about binomial distribution here:

https://brainly.com/question/13609688

#SPJ1

f (x) = 7x + 2. Find the inverse of f(x).
O A. f-1(2)= 4
O B. f-1(r)=Tx-2
O c. f-(t) =%á
O D. f (x) = 2- 7x

Answers

Answer:

[tex] \frac{x - 2}{7} [/tex]

Step-by-step explanation:

[tex]f(x) = 7x + 2[/tex]

[tex]let \: \: f(x) = y[/tex]

[tex]7x + 2 = y[/tex]

[tex]7x = y - 2[/tex]

[tex]x = \frac{y - 2}{7} [/tex]

[tex] {f}^{ - 1} (x) = \frac{x - 2}{7} [/tex]

Answer ↓

[tex]\large\text{view\:explanation\:for\:more\:details}[/tex]

Calculations ↓

Remember , inverse functions do the opposite things in the opposite order.

Here's what happened to x here :

First , it's been multiplied by 7 .Then , 2 has been added to it .

We can easily find the inverse of any function by following these steps :

Set the function equal to y as follows :

f(x)=7x+2

y=7x+2

        2. Now , switch y and x places :

x=7y+2

            3. Solve for y .

First , subtract 2 on both sides :

x-2=7y

Divide by 7 on both sides :

[tex]\text{y=$\displaystyle\frac{x-2}{7}$}}[/tex]

We've found the inverse function of f(x)=7x+2.

[tex]\tiny\text{hope\:helpful}[/tex]

Find the area.
2 in
9 in
2 in
11 in
WHOEVER GIVES RIGHT ANSWER I GIVE BRAINLIEST

Answers

36 square inches……………….

Answer:

See the photo above

Step-by-step explanation:

Hope this helps and have a nice day

Bonus: The probability that our administrators are athletic is .79. The probability that they are
intelligent is .89. The probability that they are both athletic and intelligent is.83. What is the
probability that if we choose an administrator, randomly, that he/she is not athletic?

Answers

Answer:

79

Step-by-step explanation:

The graph of the Function F(x) is shown below. What is the value of f^-1(1)

Answers

Answer: [tex]f^-1(1)=-1[/tex]

Step-by-step explanation:

From the graph given we can derive the function  [tex]f(x)[/tex]

[tex]f(x) = .5x + 1.5[/tex]

To solve  [tex]f^-1(1)[/tex] we need to find the inverse function of [tex]f(x)[/tex].

Inverse functions are functions that essentially "reverse" the mapping of the domain ([tex]x[/tex]) and range ([tex]y[/tex]) of the parent function.

To find the inverse function  [tex]f(x)[/tex] we need to solve for x in terms of y.

[tex]y = .5x + 1.5[/tex]

[tex]y - 1.5 = .5x[/tex]

[tex]\frac{y - 1.5}{.5} = \frac{.5x}{.5}[/tex]

[tex]x=2y-3[/tex]

from this, we can derive that

[tex]f(y)^-1=2y-3[/tex]

this can also be written as a function of x

[tex]f(x)^-1 = 2x-3[/tex]

both functions are identical.

take one of these functions and you can find that

[tex]f^-1(1) = 2(1) - 3[/tex]

[tex]f^-1(1) = -1[/tex]

What is the common denominator for 4 3/8 + 5 7/8?

Answers

Answer:

The common denominator is 8

Step-by-step explanation:

It depends on what you mean. The denominator is 8 in both of the fractions that is being added together

Other Questions
Students set up a controlled experiment by growing the same type of seedlings in two different locations. After a period of time, the students observed the seedlings and recorded their observations in the table shown. What caused the shoots of the seedlings on the windowsill to bend toward the window? Hormones produced in response to a light stimulus. Hormones produced in response to a light stimulus. Sugars produced in response to a gravity stimulus. Sugars produced in response to a gravity stimulus. Carbon dioxide produced in response to a water stimulus. Carbon dioxide produced in response to a water stimulus. Water produced in response to a nitrogen stimulus. Water produced in response to a nitrogen stimulus. A calculator displays 2.2E-5. How do you write 2.2E-5 in standard form? Accenture has signed a multi-year agreement to help a mobile telecom provider migrate its applications to the cloud over a period of several years, as it seeks to implement a leaner operating model. which activity should accenture execute first to provide the client with an optimal cloud solution/landscape? Which is the length of side AD?A.1 unitB.4 unitsC.5 unitsD.6 units-4-224B-2-4D I what goes first y axis or x axis Drag the appropriate words or word parts where they belong in the following sentences. Choices may be used once or not at all.Every day, Hannah played piano more skillfull than she had the day before. Just like her brother ran fast the more he practiced and had even become the fast on the track team, Hannah knew her piano skills would become advanced than even her teacher someday.Your opinion is ly, er, more, most, est, Find the measure of angle 2, 5 and 6. And explain your answer please :)Thank you 3. Name three things you want your future house to have if money is no problem? what is the radius of 3 inches in a circle what is the radius? Which sentence provides the best example of poetic language?A I questioned the bristling city streets for days.B I roamed around the city for a very long time.C I walked for hours through the busy city streets.D I explored the crowded city streets all day.(Language arts) Which word means the OPPOSITE of near?Zak walks to school because it is near his home.closearoundfarby Activity 1Direction: Change the following sentences from direct to indirect speech.1.Lando said to me, "I will not see Mr. Arcon until Tuesday."2. Pepe told him," shall probably refuse his offer."3.Zen claims, "They have done nothing wrong."4.Caloy continued, "I'll tell you more about it later."5.Bobbie says, "I do not know the right answer."6.Shy said, "I'd like to see you."7. Chad said, "I'll do my best to help you."8.Lina commented, "You decide what you want to do."9."I am satisfied," Eddie says.10."That's not true," Fei remarked. When the expression x-4x-32 is factored to (x-8)(x+h), where h is a constant, what is the value of h? (will give 50 points+brainliest) When you take action independent of direct instruction, you are showing _____. power power insubordination insubordination courage courage initiative initiative One of the groups that opposed the king during the English Civil War was:the Roundheads.Parliament.the Puritans.All of the choices are correct.The Glorious Revolution was caused by:concerns about Catholic succession.British taxation of the American colonies.the application of reason to questions of politics.a growing intellectual curiosity and knowledge from Muslim scholars.The Scientific Revolution was a period during which intellectuals:seized power in the Church.developed electric-powered tools that changed the world.used careful observation to form and test theories about the world.took up arms and revolted against the hereditary monarchs of Europe.Edward Jenner, Isaac Newton, Tycho Brahe, and Johannes Kepler are all associated with the:Enlightenment.American Revolution.Scientific Revolution.colonization of the Americas.Which of the following ideas was common to most philosophers of the Enlightenment?People are basically selfish.Ideas can be proven by reason.Kings are responsible only to God.The wealthy class should govern society.Which of the following choices best matches the philosopher with an idea for which he is well-known?Montesquieu: separation of powersRousseau: society improves manHobbes: man is basically goodLocke: people must obey their rulersMost enlightened despots:were tried and executed.censored the ideas of the philosophers.showed interest in the ideas of the philosophers.successfully implemented most of the ideas of the philosophers.The existence of the African civilizations of Ghana, Mali, and Songhai shows that:African societies did not interact with one another.the African Continent was united prior to contact with Europeans.advanced civilizations developed in Africa prior to contact with Europeans.All of the choices are correct.The Pre-Columbian civilizations of the Maya, Aztec, and Inca were similar in that they:lacked a strong central government.showed little evidence of urbanization.developed complex mathematical and calendar systems.used more deadly and effective military technology than the Europeans.Prior to the late 1400s, Europeans did not eat potatoes or corn because these vegetables:were believed to be poisonous.were too expensive to import from China.had not yet been introduced from the New World.were too labor-intensive to grow without slave labor.The British issued the Proclamation of 1763 and the Sugar and Stamp Acts primarily to:end the slave trade.push the Dutch out of the New World.pay the costs of the French and Indian War.give the colonists a chance to govern themselves.The First Amendment in the Bill of Rights establishes the right to:free speech.freedom of the press.free practice of religion.All of the choices are correct.The U.S. Constitution may be considered revolutionary because it:freed the slaves.prohibited taxation.gave the right to all adults to vote.used the idea of justice as the foundation for government.According to the Declaration of Independence, the power to rule comes from:inheritance.divine right.military power.the consent of the governed."Rulers should be opposed when they grow extreme in the use of their power and use it for the destruction of the people. Whosoever uses force without right, puts himself into a state of war with those against who he uses that power...all former ties are cancelled and everyone has the right to defend himself to resist the aggressor."Use the above excerpt to answer the next two questions.According to the writer of this document, when a ruler uses "force without right":he grows stronger.he still must be obeyed.his people have a right to petition but not rebel.his people have a right to defend themselves against his aggression.The author of this document is most likely:John Locke.Thomas Hobbes.Catherine the Great.Christopher Columbus. Please I really need this answer doing cumulative exam!!!Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number of 557 pages, which is Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book. Which system of equations can be used to determine the total number of pages in the shorter book, x, and the total number of pages in the longer book, y?x + y = 557 and Three-fifths x + five-sixths y = 407x + y = 407 and Three-fifths x + five-sixths y = 557x + y = 557 and Five-sixths x + three-fifths y = 407x + y = 118 and StartFraction 4 Over 9 EndFraction x + two-thirds y = 118 Sort the images based on whether theres a force of attraction or repulsion between the magnets show. select the expression equivalent to (4x+3)+(-2x+4)-2x+12-8x+126x+72x+7please help me What is the definition of a narrator?A. The person who reads the storyB. The person who says all the dialogueC. The person who writes the storyD. The person who tells the story The occupational safety & health administration requires that organizations follow which guidelines for electrical safety?.