If $5000 is invested at an annual interest rate of 6. 25% per year, compounded quarterly, find the value of the investment (to the nearest dollar) after 12 years

Answers

Answer 1

To the nearest dollar, the value of the investment after 12 years will be approximately $9,962.

To find the value of a $5000 investment at an annual interest rate of 6.25% compounded quarterly after 12 years.

To find the value, we will use the compound interest formula:

A =\(P(1 + r/n)^(nt)\)

Where:

A = the future value of the investment

P = the principal amount ($5000)

r = the annual interest rate (0.0625)

n = the number of times interest is compounded per year (4 for quarterly)

t = the number of years (12)

Now, let's plug the values into the formula:

A =\(5000(1 + 0.0625/4)^(4*12)\)

A =\(5000(1 + 0.015625)^(48)\)

A = \(5000(1.015625)^(48)\)

A ≈ 9962.14

To the nearest dollar, the value of the investment after 12 years will be approximately $9,962.

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Related Questions

should the researcher use the rows or the columns of the field as blocks? justify your answer.

Answers

Yes, the researcher use the rows or the columns of the field as blocks.

When conducting research, it is important to think about which structure to use as the basis for your work.

In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.

Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.

However, it can be challenging to discover similarities between data points within the same row.

Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.

Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.

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I will give you a Brainliest

I will give you a Brainliest

Answers

Answer:

B isa the answer for me it might be wrong for you or switch them

Step-by-step explanation:

A circular running track is 1/2 mile long. Elena runs on this track completing each lap in 6 minutes how long will it take Elena to run 3 miles?

Answers

Answer:

36 mins

Step-by-step explanation:

0.5 miles/6 mins = 3 miles/x mins

In order to convert the ratio from 0.5 miles to 3 miles, 0.5 was multiplied by 6. Therefore, to keep the ratio the same, 6 minutes must also be multiplied by 6 to find x. This means the answer is:

3 miles/36 mins

5. Which number is the square of 5√2-1? A. 23 - 5√2 B. 15√2-2 C. 51 - 10/2 D. 20√2-5 E. 100 + 4√2​

Answers

Answer:

  C.  51 -10√2

Step-by-step explanation:

You want the square of 5√2 -1.

Square

The square of 5√2 -1 can be found using the distributive property.

  \((5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}\)

Melvin gave the cashier $20 to pay for 3 T-shirts. The cashier gave him $5.03 in change. Each T-shirt cost the same amount. What is the cost in dollars and cents for each T-shirt?

Answers

Answer:

$4.99

Step-by-step explanation:

20 - 5.03 = 14.97

14.97 ÷ 3 = 4.99

PLEASE HELP!!
Sunita creates a scale model of an Aeroplan. The scale of the model is 5cm to 9cm. Sunita's model has a wingspan of 36cm. What is the wingspan of the rea Aeroplan.

Answers

Step-by-step explanation:

Given

Model to Actual = 5:9

5cm in Model = 9cm actual

1cm in model = (9/5)cm = 1.8cm

36cm in model = 1.8cm x 36 = 64.8cm

5!, called 5 _______ is the product of all positive integers from _______ down through _______. by definition, 0!_______.

Answers

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

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Please help me and fill out the blanks

Please help me and fill out the blanks

Answers

What are the options?

Use Euler's Method with a step size of h = 0.1 to find approximate values of the solution at t = 0.1,0.2, 0.3, 0.4, and 0.5. +2y=2-ey (0) = 1 Euler method for formula Yn=Yn-1+ hF (Xn-1-Yn-1)

Answers

Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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Move the numbers to the blanks to order them from least to greatest value.
1-0.81 7/6 -5 -2/3 -0.26

Answers

Answer:

-5,-0.81,-0.25,-2/3, 1, 7/6

Step-by-step explanation:

I Inc coverted them into decimals then I order them

pls help!!! i will give brainliest!!

pls help!!! i will give brainliest!!

Answers

Answer:

About 84 liters

Step-by-step explanation:

Length*width*fill

24*19*0.75

111.51 liters*0.7=83.62=83.6 or 84 (estimated)

All in liters

Hope this helped :)

Answer:

It is about 84 litres to be exact 83.62

Step-by-step explanation:

Hope this helped have an amazing day!

What is the answer to X=7-3y And 2x-4y=-6



I need it

Answers

Answer:

x = − 3 y + 7

Step-by-step explanation:

Reorder  7  and  − 3

Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!

Answers

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Please help me I am stuck

Please help me I am stuck

Answers

so the answer to one is simply 132, because all you have to do it replace t with 0.5, and then evaluate.

the answer to the first part of second question is -64/32 or -2 because all you have to do is find the vertex, which is the point of maximum height. the formula for this -b/2a.
the answer to the second part is 160 because to find the height at the vertex just plug the x coordinate of the vertex in and evaluate. this will give you the maximum height

List down three (3) equations that can be seen in the graph for each type of function and identify their
domamn and range.

constant funtion

Function,Domain,Range=

linear function

function,domain,range=

quadratic function

function,domain,range=

List down three (3) equations that can be seen in the graph for each type of function and identify theirdomamn

Answers

Three equations that can be seen in the graph for each type of function are x = -6, y = 1.5x  -2.5 and y = x² + 6x + 10

How to calculate the identities and equations of the functions

Function 1: Constant

A constant function is a mathematical function that always returns the same output value regardless of its input.

A constant function with the equation x = -6 exist on the graph with the following features: x = -6 as domain and [0, 4] as the range

Function 2: Linear

A linear function is a type of mathematical function where the output varies linearly with the input.

From the graph, we have the points

(4, 3.5) and (5, 5)

Using a graphing tool, the equation is

y = 1.5x  -2.5

And the identities are [4, 5] as the domain and [3.5, 5] as the range

Function 3: Quadratic

This is a function of the form y = a(x - h)² + k or y = ax² + bx + c

From the graph, we have

(h, k) = (-3, 1) and (x, y) = (-2, 2)

Using a graphing tool, the equation is

y = x² + 6x + 10

And the identities are [-4, -2] as the domain and [1, 2] as the range

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Make two questions based on this graph.

Make two questions based on this graph.

Answers

Which coordinates are A and D?
What is the distance between angle C and F?

Answer:

Just answering so other can get brainliest :P they already got it correct so you dont need me XD

Step-by-step explanation:

I need help with math

I need help with math

Answers

area = pi times radius squared

area = pi times 5 squared

area = pi times 25

area = 78.54

answer : 78.54 square feet

Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6.

Answers

Answer:

4x-7=5

Step-by-step explanation: If you take 4(3) you get 12 -7 =5

8x + 4 = 6x + 6
Help Help Help Help Help

Answers

Answer:

12x

Step-by-step explanation:

6x +6+ 12x 8x +4 +12x

Answer:

x = 1

Step-by-step explanation:

8x + 4 = 6x + 6                    Subtract 4 from both sides

8x +4-4 = 6x +6-4               Combine

8x = 6x + 2                          Subtract 6x from both sides

8x-6x = 6x-6x + 2               Combine

2x = 2                                  Divide by 2

2x/2 = 2/2

x = 1

Is it the same as the mle if a random sample of 20 mechanics results in 15 correct diagnoses? explain.

Answers

The observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

The Maximum Likelihood Estimation (MLE) and the observed proportion of correct diagnoses in a random sample of mechanics are related concepts but not the same.

The MLE is a statistical method used to estimate the parameters of a probability distribution based on observed data. It seeks to find the parameter values that maximize the likelihood of observing the given data. In the case of a binomial distribution, which could be used to model the number of correct diagnoses, the parameter of interest is the probability of success (correct diagnosis) for each trial (mechanic).

In this context, if we have a random sample of 20 mechanics and observe that 15 of them made correct diagnoses, we can calculate the observed proportion of correct diagnoses as 15/20 = 0.75.

While the observed proportion can be considered an estimate of the underlying probability of success, it is not necessarily the same as the MLE. The MLE would involve maximizing the likelihood function, taking into account the specific assumptions and model chosen to represent the data. The MLE estimate may or may not coincide with the observed proportion, depending on the distributional assumptions and the specific form of the likelihood function.

In summary, the observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

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Calculate the divergence of a vector field D given by following equation: D=xyi+yzj+xz2k (A) xy+yz+xz2 (B) y+z+2xz (C) x+z+2x

Answers

The divergence of the vector field D = xyi + yzj + xz²k is given by ∇ · D = y + z + 2xz (Option C).

The divergence of a vector field is a scalar quantity that represents the net outward flux of the vector field from an infinitesimal volume element. Mathematically, the divergence of a vector field F = Fi + Fj + F k is defined as the sum of the partial derivatives of its components with respect to their respective variables.

In this case, we have D = xyi + yzj + xz²k. Taking the partial derivatives, we find:

∂/∂x (xy) = y

∂/∂y (yz) = z

∂/∂z (xz²) = 2xz

Adding these partial derivatives together, we get y + z + 2xz. Therefore, the divergence of the vector field D is y + z + 2xz (Option C).

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A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level. The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 46.7 feet below sea level. What is the maximum rate, r, that the scuba diver may descend?
r ≤ 24 19/25
r ≥ 24 19/25
r ≤ 12.6
r ≥ 12.6​

Answers

The maximum rate, r, that the scuba diver may descend is r ≤ 12.6

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let r represent the rate. Since the initial depth is 15.2 feet below sea level, hence b = -15.2. Also, it reaches a depth no more than 46.7 feet below sea level within 2 1/2 (2.5 minutes). therefore:

2.5r - 15.2 ≤ -46.7

2.5r ≤ -31.5

r ≤ -12.6

r ≤ 12.6 (descending)

The maximum rate, r, that the scuba diver may descend is r ≤ 12.6

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Answer:

K12 Answer

Step-by-step explanation:

A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level.

1. (5x² - 6x +2)+(9x + 10x - 7) -
what is the answer?

Answers

Answer:

Step-by-step explanation:

the way it is written, the answer is

5x^2 - 6x + 2 + 19x - 7

5x^2 + 13x - 5    is the answer.

However I suspect you mean

5x^2 - 6x + 2 + 9x^2 + 10x - 7

14x^2 + 3x - 5    is the answer if the revision I've made is correct.

Which of the following is the Maclaurin series for the function f defined by f (x) = 1 + x2 + cos x ? A 2 + + + B 2+ 3.c + + с 1 1+2 +22-8 + D 2+x + 3x2 + + ...

Answers

The Maclaurin series for the function f(x) = 1 + x^2 + cos(x) is D. 2 + x + 3x^2 + ...

The Maclaurin series is a special case of the Taylor series, where the expansion is centered at x = 0. To find the Maclaurin series of the function f(x) = 1 + x^2 + cos(x), we need to compute the derivatives of the function and evaluate them at x = 0.

The first derivative of f(x) is f'(x) = 0 + 2x - sin(x), and evaluating it at x = 0 gives f'(0) = 0. The second derivative is f''(x) = 2 - cos(x), and f''(0) = 2. The third derivative is f'''(x) = sin(x), and f'''(0) = 0.

By plugging these values into the formula for the Maclaurin series, we get the series 2 + x + 3x^2 + ..., where each term represents the coefficient of the corresponding power of x.

Therefore, the Maclaurin series for the function f(x) = 1 + x^2 + cos(x) is D. 2 + x + 3x^2 + ..., as provided in the options.

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PLSSSSSSSSSS URGENT I NEED HELP!!!
The diagram shows the graph of y = ax + b. Find the values of a and b *

PLSSSSSSSSSS URGENT I NEED HELP!!!The diagram shows the graph of y = ax + b. Find the values of a and

Answers

Answer:

The values of a and b are:

a = 2b = 2

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = ax+b

where

a is the slopeb is the y-intercept

From the diagram of the line graph, we can fetch the two points

(0, 2)(-1, 0)

Determining the slope between (0, 2) and (-1, 0)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)\)

\(a=\frac{0-2}{-1-0}\)

\(a=2\)

Thus, the value of a = 2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting a = 2 and b = 2 in the slope-intercept form of the line equation

y = ax+b

y = 2x + 2         ∵ a = 2 , b = 2

Thus, the line of equation is:

y = 2x+2

now comparing with y = ax+b

Here:

a = 2

b = 2

Therefore, the values of a and b are:

a = 2b = 2

The question "How many servers will be needed to reduce the waiting time of restaurant customers to less than 9 minutes?" is a type of

Answers

The question posed in the task content is a goal seeking analysis type of question.

How many servers will be needed to reduce the waiting time of restaurant customers to less than 9 minutes is a goal seeking analysis question.

Goal seeking analysis

A goal seeking analysis question is a type of question which helps to determine the efficient and effective measure of achieving a goal either individually or in a group.

The question will help the manager of the restaurant to determine how many servers is needed in order to reduce the waiting time of customers.

Complete question:

The question "How many servers will be needed to reduce the waiting time of restaurant customers to less than 9 minutes?" is a type of

a. goal-seeking analysis.

b. what-if analysis.

c. sensitivity analysis.

d. utility modeling.

a. goal-seeking analysis.

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What two integers would v26 fall between

Answers

Answer:

Your answer is v25 and v26.

Step-by-step explanation:

I hope this helped, have a good day! ;)

For his birthday, Torin got $25 more from his grandmother than from his cousin.
gave him $10 less than his cousin. Torin received $291 total. How much did he receive
from his cousin?

Answers

Answer:

11.69 or 256

Step-by-step explanation:

291  divided by equals 11.69

And 291 - 25 - 10 = 256

two equialent ration of 3:8​

Answers

Answer:

1/2 3/4 5/6

Step-by-step explanation:

56565476544356754345676543265432

Answer:

6/16

Step-by-step explanation:

Ten increased by the quotient a number x and nine

Answers

Answer:

x= negative 90 i think.

Step-by-step explanation:

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A population of small mammals has substantial variation in coat color. What could lead to the type of frequency-dependent selection that would maintain genetic polymorphisms? Genetic drift causes the population to revert to Hardy-Weinberg equilibrium Paler forms are more cryptic in the snow Darker forms have more difficulty with thermoregulation Females prefer males with the more common coat color Predatory birds see the more common genotypes more easily pls help with this im being timed once again Which of the three major world religions (Judaism, Christianity and Islam) is the youngest? Define resistance and resistivity and also give the relationship between them. Explain the dependence of resistance on temperature. What was one significant result of the war of 1812? Assume you are running a regression that will help explain the amount of savings that consumers will do in a year. Some save more than others. One factor of how much a consumer saves is called 'an internal discount rate'. This has to do with how much preference a consumer puts on future gratification versus immediate gratification. There is no variable to measure this. Instead, you will have to use a proxy. A proxy is like a substitute variable that is not the exact independent variable that you want, but it will come close to measuring what you want to measure. Think of 3 independent variables that you can use as a substitute for the internal rate of return and explain why you choose these. Your post must be a t least 3-4 paragraphs long, or longer. Add some material to your post which describes proxies from the chapter on proxies. oxygen is a product of photosynthesis. the primary role of this oxygen in cellular respiration is to As sending order from smallest to largest R456 875,R455 674, R455 876, R455 898 which, if any, of the following are distinctive characteristics of charcoal drawing?-expressive-works better on rougher paper-good for representing texture and mass-can't be changed once applied-requires very smooth paper-tarnishes with age - i need help guys pleas Which is NOT a partial product for 23 x 54? *20 x 503 x 420 x 320 x 4 The tax on a $30 item is $1.50.Find the tax on a $50 item. please helpYour towns public library is building a new wheelchair ramp to its entrance. By law the maximum angle of incline for the ramp is 4.76 degrees. The ramp will have a vertical rise of 2.5 ft. What is the shortest horizontal distance that the ramp can span? what role did nationalism play in motivating african independence? how do you know 2x^4 + 5x is in standard form What is Realtor Code ethics? PLEASE HELP DUE DATE IS 12!!!! FFHYTREWASER5T678UIKMJNHGTR432 I got c, just wondering was it right? Will give brainliest!!!!