10000$ is invested at annual compound interest after 4 years the investment has become $11,608.86 what annual rate of compound interest was used ?

10000$ Is Invested At Annual Compound Interest After 4 Years The Investment Has Become $11,608.86 What

Answers

Answer 1

$10,000 is invested at annual compound interest. After 4 years, the investment has become $11,608.86. What annual rate of compound interest was used?

Answer: 3.8%

Answer 2

The annual rate of the compound interest is given as 3.8%.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Amount = principal[1 + r/n]ⁿᵃ

Principal = P rate= r Time =a  , n = compounding frequency

Here,
Amount = principal[1 + r/n]ⁿᵃ
11608.86 = 10000[1 + r/1]⁴
1.160886 = [1 + r]⁴
1 + r = 1.038
r = 1.038 - 1
r = 0.038
r% = 0.038 ×100%
r% = 3.8%

Thus, the annual rate of the compound interest is given as 3.8%.

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Related Questions

The island has 600 bikes and 900 people. What is the bike to person ratio?

Answers

2:3 = bike to person ratio

What is the solution for x 10x-3x+8=-3+7x+11

Answers

Answer:

there is not a solution to this equation

Step-by-step explanation:

10x - 3x + 8 = -3 + 7x + 11

simplify

7x + 8 = 8 + 7x

there is not a solution to this equation

Answer:

x=2

Step-by-step explanation:

add the x's on one side and then subtract it by 7x. (10x- 7x)

then -3 + 11=8

8-8=0

transfer  2 to the other side x=2

If f(x) = 4x - 5 and g(x) = x +6, find g(f(-4)

Answers

Answer:

-15

Step-by-step explanation:

g(f(-4))=g(4(-4)-5)=g(-21)

g(-21)=-21+6=-15



Tarah collected 254 cans of food for the food drive. Ana collected 421 cans of food for the food drive. The
1
girls decided to combine their cans of food and donate to the local food bank. They donated 60% of the
remaining cans of food to the homeless shelter. How many cans of food do they have left over to
donate?

Answers

Answer:

270 is the awnser

Write a real-world situation that can be modeled by the equation 1/3x+10=3/5x

Answers

Answer:

One-third of Leah's weekly paycheck plus $10 = three-fifths of her check.

What is her weekly pay? or 1/3 of a handyman’s fee plus an extra fee of 10 dollars for showing up, which is equal to 3/5 o his fee altogether. What is his fee in all with the extra fee

The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x 5y 15. What is the equation of the parallel northbound track that runs through the point (4, -2)?

Answers

Answer:

2x+5y=-15

Step-by-step explanation:

2x+5y=d

2(4)+5(-2)=d

8-10=d

-2=d

Which graph shows the function f(x) = x with an input of f(x – 3)? A coordinate plane with a line graphed passing through (negative 4, negative 1), (negative 3, 0), and (0, 3). A coordinate plane with a line graphed passing through (negative 1, negative 4), (0, negative 3), and (3, 0). A coordinate plane with a line graphed passing through (negative 1, negative 3), (0, 0), and (1, 3). A coordinate plane with a line graphed passing through (negative 3, negative 1), (0, 0), and (3, 1).

Answers

The given function, f(x) = x, and the function with an input of f(x - 3), which is a transformation of the function f(x), moving it three places to the right, gives the points on the graph of the function as the option;

(negative 1, negative 4), (0, negative 3), (3, 0)

What is the transformation of a function?

The transformation of a function involves moving the curve or line that represents the function either left, right, down, or up, reflect the graph or compress or expand the curve of the graph of the function.

The given graph is for the function is f(x) = x, the required graph is the graph of the function, f(x - 3), which is evaluated as follows;

Given f(x) = x, we have, f(x - 3) = x - 3

The table of values for both functions is presented as follows:

x;             -4,  -3, -2,  -1,   0,  [tex]{}[/tex]1,   2,   3,   4,   5

f(x)       [tex]{}[/tex]    -4,  -3, -2,  -1,   0,  1,   2,   3,   4,   5

f(x - 3)[tex]{}[/tex]      -7,  -6, -5, -4,  -3, -2, -1,    0,    1,   2

From the above table of values, the points on the function, f(x - 3) are; (-1, -4), (0, -3), (3, 0)

The option which gives the points on the graph that shows the function f(x) with an output of f(x - 3) is therefore;

(negative 1, negative 4), (0, negative 3), and (3, 0)

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Answer: b

Step-by-step explanation:

got it right on edge

3 3/4 divided by 3/20

Answers

Answer:

25

Step-by-step explanation:

f(x)=4x^5-8x^4-5x^3+10x^2+x-2
Use the rational zero test to find all possible rational zeros of f, separate with commas if needed. I already tried (2x+1)(2x-1)(x+1)(x-1)(x-2) and WebAssign says it’s incorrect.

Answers

Answer:

-1; -1/2; 1/2; 1; 2          or    factors of -2 are -1, 2, 1, -2

factors of 4 are 1, 4, 2, -1, -4, -2

possible zeros are -1, 1, 1/2, -1/2

try 1

Step-by-step explanation:

For which value of x is the function 2x^2 + 3x + 1/x - 1 g(x) undefined? ​

Answers

Answer:

See below

Step-by-step explanation:

We have

[tex]g(x)=2x^2 + 3x + \dfrac{2}{x} - 1[/tex]

The function is true [tex]\forall x \in\mathbb{R}[/tex] except 0, because division by zero is undefined.

Therefore, the domain of the function can be written as

[tex]Dom(g) = \mathbb{R}-\{0\} \text{ or } (-\infty, 0)\cup (0, \infty)[/tex]

Write the slope-intercept form of the equation of each line.

11x + 8y = -45

Answers

Answer:

y= -11x/8  - 45/8

Step-by-step explanation:

Write this equation in slope intercept form:

y= mx + b

11x + 8y = -45

8y= -11-45

y= -11x/8  - 45/8

Hope this helps :)

The sum of three consecutive numbers is 519. What are the three numbers?

Answers

Answer:

El primer número llamaremos = x

El segundo número llamaremos = x + 1

El tercer número llamaremos = x + 2

Calculamos

x + (x + 1) + (x + 2) = 519

x + x + 1 + x + 2 = 519

x + x + x + 1 + 2 = 519

3x + 3 = 519

3x = 519 - 3

3x = 516

x = 516/3

x = 172

El valor de "x" lo reemplazamos en: (x + 1 y x + 2)

x + 1 = 172 + 1 = 173

x + 2 = 172 + 2 = 174

Respuesta.

Los números son: 172, 173 y 174

172 + 173 + 174 = 519

*I WILL MARK BRAINLIEST* PLS HELP ASAP

Answers

What?

joshuasalazar697 avatar

A because u should have gotten a 3x after adding them together since u do what is inside the () before anything

fionaferlich1 avatar

3+x does not equal 3x

joshuasalazar697 avatar

y not

fionaferlich1 avatar

because 3x equals x times x times x not 3+x

joshuasalazar697 avatar

but why is it d

joshuasalazar697 avatar

they did it right u have to divide it from the right to the left

fionaferlich1 avatar

a rule of inequalities is when you divide by a negative the sign switches. so because u had to divide the entire thing by -6 it should be x is greater than -1

joshuasalazar697 avatar

no u have to divide it by positive 6 cause u are taking it the 6 from the right and moving it under the 6 from the left wich u would divide

fionaferlich1 avatar

u always divide by the coefficient of x and that's -6

joshuasalazar697 avatar

no cause since u moved all the letters to the right and all the lone numbers to the left u have to take that last one and divide it from the one with the x

fionaferlich1 avatar

the one with the x is the coefficient of x which is -6

joshuasalazar697 avatar

yeah i know that ut u don't divide the 6 from the -6x like u gonna divide -6x by 6

joshuasalazar697 avatar

also if i am wrong what happened to the 3 and why did it turn to an 18

fionaferlich1 avatar

so say that's what you're supposed to do (which it is ) but then u would get -x>1 and x must be positive

joshuasalazar697 avatar

i should have paid attention in algebra no wonder I don't get geometry but geometry is way easier

joshuasalazar697 avatar

i see what u are getting to now

joshuasalazar697 avatar

still don't see how 3 turned into 18

joshuasalazar697 avatar

i just say this hole thing is written wrong from the start and made it all wrong

there is ur explanation

Answer:

d

Step-by-step explanation:

since when u divide by a negative it switches signs

Answer the question in the photo

Answers

Decimal = 0.54 and 0.38
Hope this help.
Please leave a Thank.

You decide to start a dog walking business and are trying to plan how much you to charge. You determine that you can only walk 5 dogs at the most at any given time. You also decide to charge in 30 minute intervals and, due to your schedule, you can only walk for 3 hours a day. Based on those conditions, what is the most amount of dogs that you can walk in a given day?

Answers

Answer:

The most amount of dogs that you can walk in a given day is 30 dogs.

Step-by-step explanation:

You decide to charge in 30 minute intervals, and due to your schedule you can only walk 3 hours a day. Then you must know how many intervals of walks you can do in those 3 hours a day that you can walk. Being 1 hour equal to 60 minutes, then 30 minutes equals 2 intervals in 1 hour. Then you can apply the following rule of three: if in 1 hour there are 2 intervals of 30 minutes, in 3 hours how many intervals of 30 minutes are there?

[tex]amounts of intervals=\frac{3hours*2 intervals}{1 hour}[/tex]

amount of intervals= 6 intervals

You determine that you can only walk a maximum of 5 dogs at a given time, that is, in each interval you can walk a maximum of 5 dogs. Then you can apply the following rule of three: if in 1 interval you walk a maximum of 5 dogs, in 6 intervals how many dogs do you walk a maximum?

[tex]amounts of dogs=\frac{5 dogs*6 intervals}{1 interval}[/tex]

amount of dogs= 30 dogs

The most amount of dogs that you can walk in a given day is 30 dogs.

Does the following make a right triangle?
A ceramic tile with sides 20 cm, 21 cm, and 29 cm


A. yes
B. no

Answers

Answer:

yes

Step-by-step explanation:

In order for it to be a right triangle, it has to be [tex]a^2+b^2=c^2[/tex].

[tex]20^2+21^2[/tex] should equal [tex]29^2[/tex]

400+441 should equal 841

So yes, the lengths make a right triange.

Harper is a sales person who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sells and she earns a commission of 1% of the dollar amount of all sells that she makes. Write an equation for P, in terms of x, representing harpers total pay on a day on which she sells x dollars worth of computers.

Answers

Answer:

P=0.01x+100

Step-by-step explanation:

what is the image (-2,-5) after a dilation by a scale factor of 2 centered at the origin ​

Answers

Answer:

Step-by-step explanation: (-4,-10)

Simplify: (4 – 5) – (13 – 18 + 2).

(a) -1,

(b) –2,

(c) 1,

(d) 2.

Answers

Answer:

1 is corr

Step-by-step explanation:

I might be wrong sorry if I am

Answer:

C. 1

Step-by-step explanation:

What is equivalent to 5x+2y=12

Answers

Answer:

A

Step-by-step explanation:

The answer would be A.

Bastian was able to map triangle ABC onto triangle A'B'C' using a reflection, rotation, and a dilation. Then Bastian concluded that he was able to map triangle ABC onto triangle A'B'C' using a sequence of rigid transformations and dilations, so the triangles are similar. What error did Bastian make in his conclusion?

Bastian used a rotation, so the triangles aren't similar.

Bastian used a combination of similarity transformations, which can produce a non-similar result.

There is no error. This is a correct conclusion.

Bastian used a dilation, which does not preserve similarity.

Answers

there is no error

hope this helped

UGENT PLZ HELP FAST​

Answers

The correct answer is A and D!

attached is my problem

Answers

Answer:

f(x) = 3x - 3

Step-by-step explanation:

First, the slope of the line has to be the same for it to be parallel, so the slope(coefficient of x) of the equation is 3.

Next, to make it pass through that specific point, we need to add/subtract a number to make the equation cross that point.

f(x) = 3x at x = 2 evaluates as 6, but the equation needs to pass through the point (2, 3), so we subtract 3 from the equation, leaving us with f(x) = 3x-3.

SHOW ALL WORK!!!
1.
Find the distance between (-4,-2) & (4,4)

Answers

Answer:

Step-by-step explanation:

can someone help the lesson is about ordering.​

Answers

Answer:   [tex]3 \le x \le 5[/tex]

x is any real number between 3 and 5, including both endpoints

================================================

Explanation:

If A < B, then 1/A > 1/B. Applying the reciprocal flips the inequality sign.

For example, if 2 < 3, then 1/2 > 1/3. It might help to look at the decimal representations

1/2 = 0.500

1/3 = 0.333

We see that 1/2 is larger.

-----------

The inequality [tex]x < y < z[/tex] is the same as [tex]x < y \ \text{ and } \ y < z[/tex].

We've broken the single inequality into two smaller parts.

The given inequality breaks down into [tex]\frac{1}{6} \le \frac{1}{x+1}[/tex] and [tex]\frac{1}{x+1} \le \frac{1}{4}[/tex]

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

Let's solve the first inequality for x

[tex]\frac{1}{6} \le \frac{1}{x+1}\\\\6 \ge x+1\\\\6-1 \ge x\\\\5 \ge x\\\\x \le 5[/tex]

Repeat for the other inequality as well

[tex]\frac{1}{x+1} \le \frac{1}{4}\\\\x+1 \ge 4\\\\x \ge 4-1\\\\x \ge 3\\\\[/tex]

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

We found that [tex]x \ge 3 \ \text{ and } \ x \le 5[/tex]

This is the same as [tex]3 \le x \ \text{ and } \ x \le 5[/tex] which combines to [tex]3 \le x \le 5[/tex]

answer and I’ll leave a good review

Answers

Answer:

d

Step-by-step explanation:

g

Answer:

C

Step-by-step explanation:

They are all more in the modern era

Write an equation in slope intercept form with the given information.
Slope = 4 and goes through point (1,8)
(Please help me)

Answers

Answer:

y= 4x +4

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 4, m= 4.

Substitute m= 4 into the equation:

y= 4x +c

To find the value of c, substitute a pair of coordinates.

When x= 1, y= 8,

8= 4(1) +c

8= 4 +c

c= 8 -4 (-4 on both sides)

c= 4 (simplify)

Thus, the equation is y= 4x +4.

what is the rate of change for y= -2/5x-9​

Answers

Answer:

If two quantities x and y are related by y = f(x), the derivative f'(xo) represents the rate of change of y with respect to x at the point xo. It is measured in (units of y)/(units of x). A positive rate of change is sometimes called a rate of increase.

Step-by-step explanation:

Answer:

m= -2/5

Step-by-step explanation:

Brianne is making apple pies. She has 2 1/2 pounds of apples. Brianne estimates she can make 3 pies with no apples left over. How many pounds of apples will go into each pie?

Answers

2 1/2 pounds of apples divided into 3 pies.
2 1/2 converted to improper fraction =
2 1/2 = 5/2
5/2 divided into 3 pies
(5/2) / (3/1) —> {whole number 3 converted to improper fraction 3/1}
(5/2) x (1/3) —> {to divide a fraction, multiply by the reciprocal}
(5/2) x (1/3)=5/6
Answer= 5/6 of a pound of apples goes into each pie

0.833 pound of apples go into each pie.

Given Brianne has 2 and  half pounds of apples.

she can make 3 pies with no apples left.

Now total quantity of apples she has is 2.5 pound.

Since she can make 3 apple pies with 2.5 pound of apples, so each pie has equal amount of apples.

Now each pie has [tex]\frac{2.5}{3} =0.833[/tex] pounds of apples.

Hence 0.833 pound of apples go into each pie.

For more details on Kilogram to pound conversion follow the link:

https://brainly.com/question/24447359

In a certain​ chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 760 grams of copper. How many grams of zinc does it​ contain?

Answers

Answer:

760-19

x-3

x=760*3=2280

2280/19=120g of zinc

Step-by-step explanation:

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