Suppose you invest $2000 at an annual interest rate of 8.2% compounded continuously. How much will you have in the account after 10 years

Answers

Answer 1

Answer:

$3,640

Step-by-step explanation:

8.2% as a decimal is 0.082. multiply 2000 by 0.082, and you get your interest rate/the interest you pay each year, which would be 162. multiply 162 by ten to get your interest for all ten years, since 162 was simply the rate, and you get 1,640. add the original 2000 onto that, and you get 3,640.


Related Questions

will u simplify -164​

Answers

Answer:

No, I will not simplify -164

Step-by-step explanation:

You can not Simplify -164

so the answer will be you can not simplify it

Square root of 16b power four

Answers

Answer: 256b

Step-by-step explanation: So, first we need to find the square root of 16b.

That'd be 4b, because a square root is when a number can be divided by a number, such as 4 can go into 16 4 times, and like 5 can go into 25 5 times. So, we got 4b

So, 4 to the power of 4 (ignore the b right now) is the same as 4 x 4 x 4 x 4.

So simplified, that'd be 16 x 4 (64). So, 64 x 4 = 256.

So, I'd be 256b

Help please, I need to check my answer

Answers

[tex]\cfrac{45p^5q^4-60p^3q^2 - 15p^2q^3}{15p^2 q^3}\implies \cfrac{45p^5q^4}{15p^2 q^3}-\cfrac{60p^3q^2}{15p^2 q^3}-\cfrac{15p^2q^3}{15p^2 q^3}\implies 3p^3q-\cfrac{4p}{q}-1[/tex]

Write the explicit formula for the sequence below:

Answers

The explicit formula for the sequence -28, -31, -34, -37, ..., is aₙ= -28 -3d.

What is an arithmetic sequence?

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

-28, -31, -34, -37, ...

The general formula of an arithmetic sequence:

aₙ= a₁ + (n)d,

where a₁ is the first term and d is the common difference.

First, we will find the common difference between consecutive terms.

Here,

a₁ = -28

To find the common difference:

a₂ - a₁ = -31 + 28 = -3

a₃ - a₂ = -34 + 31 = 3

a₄ - a₃ = -37 + 34 = 3

Hence, d = -3.

Substitute the values to the formula,

aₙ= a₁ + (n)d,

aₙ= -28 + (-3)d,

aₙ= -28 -3d

Therefore, aₙ= -28 -3d is the required sequence.

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What will be the mirror image of − 3 − 4 in y-axis?

Answers

c sea see cee ion , hol, D, B

A magazine rack contains 5 sports magazines, 7 news magazines, and 10 fashion magazines. After a magazine is chosen, it is not replaced. Find the probability of randomly choosing two fashion magazines.

Answers

2/22 to simplify 1/11 not sure though but I think that’s the answer u can double check though

Find the lengths of the diagonals of rectangle WXYZ.
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.

Answers

The length of each diagonal is √(196x^2 + 816x + 324) units.

What is the formula for diagonal length?

The diagonal of a rectangle can be estimated using the hypotenuse formula, such as using the Pythagorean theorem calculator.

WX^2 = WY^2 + XZ^2

Given that WY = 14x + 10 and XZ = 11x + 22, we can substitute those values in the equation:

WX^2 = (14x + 10)^2 + (11x + 22)^2

WX^2 = 196x^2 + 816x + 324

WX = √(196x^2 + 816x + 324)

The same goes for the other diagonal, WZ.

WZ = √(196x^2 + 816x + 324)

So, the length of each diagonal is √(196x^2 + 816x + 324) units.

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Abdul made $162 for 9 hours of work.
At the same rate, how much would he make for 12 hours of work?

Answers

Answer:218

explanation: 162 divided by 9 = 18 and 18 multiplied by 12 =218

Tierra is making steps for a doll house. She has cut a piece of wood that measures 1. 5 centimeters wide and 30 centimeters long. Each step will measure 15 millimeters by 4 millimeters. She will make 21 steps for her doll house. Which are the dimensions of the wood that remains after Tierra finishes making the 21 steps?​

Answers

The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape.

A square has sides of equal dimensions.

A rectangle has length and width as its dimensions that define the area of a rectangle.

Also, dimension is used widely to term the figure as one-dimensional, two-dimensional or three-dimensional.

Wood = 1.5 cm by 30 cm

Each cut = .15 mm by 4 mm

Steps = 21

The remaining dimension is calculated as:

Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm

Express mm as cm

Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm

Evaluate the difference

Remaining = 1.185 cm by 21.6 cm

Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

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Please help I’ll give you Brainlyest

Find m
120
123
126
116

Answers

Aaaa i don’t think you picture matches the equation!

Ella bought a book whose original price was $19.89. She used a coupon
to get a 30% discount. Which of the following is a reasonable estimate of
the selling price of the book?

Answers

Answer:

the answer is 6.63

Negative Vectors: Mastery Test


2


Type the correct answer in each box. Round your answers to two decimal places.


Subtract vector va <2,-3> from vector u <5,2>


The magnitude of the resulting vector, u - v, is approximately


and its angle of direction is approximately


Reset


Next

Answers

https://brainly.com/question/11495883

A+school+is+going+on+a+trip.+There+will+be+3+buses+to+take+students.+On+each+bus,+there+are+80+seats.+Teachers+will+sit+in+3+of+the+seats+on+each+bus.+How+many+seats+are+available+for+students+on+the+buses? A. 240 B. 231 C. 83 D. 77

Answers

The solution is Option B.

Number of seats for the students is given by the equation A = 231 seats

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of seats for the students be A

Now , the equation will be

The total number of buses = 3 buses

The total number of seats on each buses = 80 seats

So , the total number of seats = number of buses x number of seats on each buses

Substituting the values in the equation , we get

The total number of seats = 80 x 3

The total number of seats = 240 seats

Now , the teachers has 3 seats each on 3 buses

So , the number of seats for teachers = 3 x 3 = 9 seats

And , the remaining number of seats = total number of seats of students

The total number of seats for students A = total number of seats - number of seats for teachers

Substituting the values in the equation , we get

The total number of seats for students A = 240 - 9

The total number of seats for students A = 231 seats

Therefore , the value of A is 231 seats

Hence , the number of seats for students is 231 seats

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5. The population of Haleyville, Alabama was 4,403 in 2010. Haleyville has been experiencing a population decline of 0.6% per year since 2000. What will be the projected population of Haleyville in 2020?

Answers

The projected population of Haleyville in 2020 is 4139.

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Population in 2010 = 4403

The decline in population per year = 0.06%

Now,

The population in 2020.

There are 10 years between 2010 and 2020.

The function used to find the population after x years.

= 4403 x [tex]0.994^x[/tex]

Now,

x = 10

= 4403 x [tex]0.994^{10}[/tex]

= 4403 x 0.94

= 4139

Thus,

The population in 2020 is 4139.

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9. There were 60 questions on the math
test. Janet got 25% of them wrong. How
many did she miss?

Answers

Answer:

She missed 15 questions.

Step-by-step explanation:

25% of 60 = 15

(25/100) * 60 = 15

Therefore, she missed 15 questions.

Mark me brainliest and thenksss :))

She missed 15 questions.

PLEASE HELP ASAP I WILL GIVE BRAINLIEST!!!

Answers

Answer:

try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Answer:try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Which is closest to 8?

√9

√17

√65

√72

Answers

It’s probably 9 I’m not that sure
9 hope this helps :)

20 Basketball players form teams of 5 players each player can play any position how many teams of 5 players can be formed?

Answers

Answer:

4

Step-by-step explanation:

:)

If you have 20 balls (10 black, 10 white) and two urns, how could you place the balls into the urns so as to maximize your chance of drawing a black ball

Answers

To fill one urn with one white ball and the second urn with the remaining nine white and ten black balls.

Explain about the probability?

Probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. A coin flip is the most basic illustration. There are only two outcomes that can occur when you flip a coin: either heads or tails.

The basic probability formula is: Probability = Number of Favorable Outcomes / Total Number of Outcomes. or P(A) = f/N

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Order the integers from least to greatest 1,-3,-6,5,0

Answers

-3,1-6,5,0 i think that’s it
-6,-3, 0, 1, 5 right?

HELP ME PLEASE HURRYYY

Answers

Answer:

yes thats your answer

Step-by-step explanation:

Identify the range of the function shown in the graph.

Answers

the range of the function shown in the graph -1 [tex]\leq[/tex] y[tex]\leq[/tex] 1.

What is the sine and cosine graph's range?

All real numbers fall within the domain of the sine and cosine functions. Both the sine and cosine functions have a range of [1,1]. An angle's sine and cosine have the same absolute value as their respective reference angles.

What is a cosine graph's range?

An illustration of the function's range in the graphs of cos and sine

The cosine function's graph appears as follows: The range of the function y=cos(x) is 1y1, and the domain is all real numbers (cosine is defined for any angle measure).

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Solve each by elimination
-3x + 4y = 29
3x + 2y = -17

Answers

Answer:

point form is: (-7,2)

equation form is: x = -7, y = 2

Step-by-step explanation:

add the equations in order to solve for the first variable. plug this value into the other equations in order to solve for the remaining variables

pls mark as brainliest lol

What is inverse property in math?

Answers

Answer:

The inverse property definition states when added together with its additive inverse, the sum of the two numbers will be zero. When a number is multiplied by its multiplicative inverse, the product will be one

Step-by-step explanation:

Layla leans a 26-foot ladder against a wall so that it forms an angle of 61° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest tenth of a foot if necessary.

Answers

Step-by-step explanation:

Calculate the approximate value: 26 x 0.87462

Calculate: 22.74012

Round  22.74012 to the required place

Answer:22.7

   

Hope this helps

What is number 3 on the plot diagram?

Answers

Answer:

Kumain ka Ng pansit para ka Maka sagot

Step-by-step explanation:

follow pleas helpme

Mason worked at the water park over the summer. He made $425 in June and $680 in July if he made twice as much money in august as he did june. What is the ratio of money earned in august to July

Answers

The ratio of money earned in August to July is 5/4.

Now, According to the question:

Let's know

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

Mason worked at the water park over the summer. He made $425 in June and $680 in July.

And if he made twice as much money In August as he did in June.

That means, he made $850 in August.

Then, The ratio will be :

= August / June

= 850/680

= 5/4

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A line starts at (negative 2, 0), goes to (5, question mark), and then goes down to (6, 0).
What would the height need to be for this curve to be a density curve?

One-fourth
One-half
StartFraction 1 Over 8 EndFraction
StartFraction 1 Over 16 EndFraction

answer is one fourth

Answers

What the height would need  for this curve to be a density curve is; One-half

How to interpret Density Curves?

The criteria for a curve to be a density curve is as follows;

1. The curve must always be non-negative. This tells us that the y-value of the curve must be greater than or equal to 0 at every given point.

2. The area under the curve must always be equal to 1.

Now, we are told that the curve starts at (-2, 0) and then goes to (5, question mark), and then goes down to (6, 0),.

This means that the area under the curve will be a trapezoid that has a height of question mark and then bases of length 3 (from -2 to 5) and length 1 (from 5 to 6).

The area of this trapezoid will be equal to the sum of the bases times the height divided by 2, or:

Area = ((3 + 1) × question mark)/2

Since the area under the curve must be equal to 1, we can set up the equation:

1 = ((3 + 1)  ×  question mark) / 2

Solving for question mark, we will:

The question mark = 2/4

The question mark = 1/2

Therefore, we can conclude that the height of the curve is  1/2

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if a mom has 3 kids who are 18, 16, and 26 how old is the mother
and how old was she when she gave birth

30 POINTS BEST ANSWER WILL GET BRAINLIEST

Answers

Answer:

46 i think because 20+26 is 46

Please help fast.

Will mark brainliest.

Answers

Answer:

Both

Step-by-step explanation:

You can find both from the given 85

the answer is both which is C hope this helps
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