Calculate the future value of $51,123.21

Calculate The Future Value Of $51,123.21

Answers

Answer 1

Answer:

Option a) $ 82,531.59

Step-by-step explanation:

The Formula for Future value =

Present value (1 + r/n)^nt

From the question

Present value = $51,123.21

Interest rate (r) = 2 3/8 % = 2.375% = 0.02375

n = compounding frequency = compounded daily = using the traditional bankers rule of 30 days = 30 × 12 months = 360

T = Time duration in years = 20 years and 2 months = 20.1667

Future value = $ 51,123.21(1 + 0.02375/260)^20.1667 × 360

Future value = $ 82,531.59


Related Questions

Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 27.5 B) 5.5 w - 3.25 = 27.5 C) 5.5 w = 27.5 D) 5.5 - 3.25 w = 27.5

Answers

Answer:

C. 5.5 = 27.5

Step-by-step explanation:

The customer did not provide any supplies which means that the number 3.25 should not even be apart of the answer choice because it is not being deducted.

5.50 multiplied by how many widows (w) are washed should equal 27.50

Therefore C. 5.5 = 27.5 is the answer

Answer:

C) 5.5 w = 27.5

A man flips a coin repeatedly until he obtains a heads. This probability setting describes _______ events. answer quick pls

Answers

Answer: I'm sure it describes experimental events? Is that an option? Because he's experimenting by flipping the coin. If not, just contact me! :)

Here and happy to help.

The value of 2^3 + 4^2 = ___.

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

24

▹ Step-by-Step Explanation

2³ + 4²

= 2 * 2 * 2 → 8

= 4 * 4 → 16

8 + 16 = 24

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

24

Step-by-step explanation:

2³ + 4²

Solve for exponents first.

2³ = 2 × 2 × 2 = 8

4² = 4 × 4 = 16

8 + 16

Addition.

= 24

Which category BEST fits the words on List 2? championship, challenge, tournament, rivalry, sports, performance, pageant, match. CHOICES: prizes, competitions, games, celebrities. I nEeD aNsWeR iN 24 hOuRs PlZ!!!!!!!!

Answers

the answer is competitions!!!!

Answer:

competitions

Step-by-step explanation:

I got it right.

*PLEASE ANSWER* If we decrease a dimension on a figure, how is the figure’s area affected? a.) The area decreases. b.) The area becomes 0. c.) The area increases. d.) The area remains the same.

Answers

Answer: A) area decreases

Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.

The area of the figure decreases when the dimension is decreased

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the figure be represented as ABCD

where ABCD is a rectangle

Now , the measures of the sides of the rectangle be

The length of the rectangle = L

The width of the rectangle = W

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle = LW

when the dimension of one of the unit is decreased , we get

when L = L/2

Area of rectangle = ( LW) / 2

So , the area of the figure is decreased bu ( 1/2 )

Hence , the area of the figure decreases

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ3

Write 5 3/7 as an improper fraction.

Answers

Answer:

The answer is option A

Step-by-step explanation:

[tex]5 \frac{3}{7} [/tex]

Can be written as

[tex] \frac{38}{7} [/tex]

Hope this helps you

Answer:

38/7

Step-by-step explanation:

question: 5*3/7

      we should first cross multiply 5 with 7 and add the 3 to the product.

      the formula for solving any question like this is :-

               ( whole no. multiplied with denominator ) + numerator

                                                 denominator

           here:   (5*7)+3

                           7

The sum of two numbers is 20 more than one of the numbers and 18 more than the other number. What are the two numbers?

Answers

Answer:

18 , 20

Step-by-step explanation:

Let the numbers be x and y

Sum = x + y

Sum = one number + 20

[tex]x + y = x + 20[/tex]

Cancel equal terms on both sides of the equation.

[tex]y = 20[/tex]

Again,

Finding another number

Sum = other number + 18

[tex]x + y = y + 18[/tex]

Cancel equal terms on both sides of the equation

[tex]x = 18[/tex]

Hence, The two numbers are 18 and 20.

Hope this helps..

Best regards!

Please Answer ASAP: As storm clouds gathered, the temperature fell 4 degrees in 3/4 of an hour. At what rate was the temperature falling? Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer:

[tex]5 \frac{1}{3}[/tex] degrees per hour.

Step-by-step explanation:

If we know that the temperature fell 4 degrees in [tex]\frac{3}{4}[/tex] of an hour, we can set up a proportion to see how much fell in an hour.

[tex]\frac{4}{0.75} = \frac{x}{1}[/tex]

[tex]4 \cdot 1 = 4\\4 \div 0.75 = 5.\overline{33}[/tex]

[tex]5.\overline{33}[/tex] as a fraction is [tex]5 \frac{1}{3}[/tex].

So, the temperature fell at a rate of [tex]5 \frac{1}{3}[/tex]  degrees per hour.

Hope this helped!

Answer:

5 1/3

Step-by-step explanation:

A train traveling at 100 km an hour takes 3 seconds to enter a tunnel and an additional thirty seconds to pass completely through it. Find the length, in kilometers, of the train. Express your answer as a common fraction

Answers

110/32 or 3.44 kilometers

State the domain of the glven relation.

Answers

Answer:

x ≤ -1

Step-by-step explanation:

The domain is the x-values.  Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:

x ≤ -1

I think the answer is x< 1

If tanx = 1, and 0< x < 90 degrees, find cos(x/2)? a. [tex]-\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] b. [tex]\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] c. [tex]\frac{\sqrt{2-\sqrt{2} } }{2}[/tex] d. [tex]-\frac{\sqrt{2}-\sqrt{2} }{2}[/tex]

Answers

Answer:

B is the correct answer.

Step-by-step explanation: If tanx=1, then cosx=√2/2. Use your half angle formulas to plug cosx in, and you should get B as your answer.

Which is the factorization of x3 + 8? (x + 2)(x2 – 2x + 4) (x – 2)(x2 + 2x + 4) (x + 2)(x2 – 2x + 8) (x – 2)(x2 + 2x + 8)

Answers

Answer:

here the answer is down below

Step-by-step explanation:

Answer:

A (x+2)(x^2-2x+4)

Step-by-step explanation:

just took test

Which expression can be used to find the surface area of the following square pyramid?

Answers

Answer:

Step-by-step explanation:

expression for surface area = a² + a √(a²/4+h²)

=4² + 2(4) √(4²/4+5²)

=16 + 8  √(16/29)

= 24 √0.55

= 20.65

A normal distribution has a mean of 60 and a standard deviation of 2. Determine the z-
score for the data value of 22.

Answers

Answer: z score is -19

Work Shown:

x = 22 is the raw score

mu = 60 is the mean

sigma = 2 is the standard deviation

z = (x-mu)/sigma = formula to find z scores

z = (22 - 60)/2

z = -38/2

z = -19

The z score of -19 means we are 19 standard deviations below the mean. Anything beyond 3 standard deviations is often considered unusual/rare as most of the data in the normal distribution is within 3 standard deviations (approximately 99.7% of the distribution)

Find the angle between the given vectors to the nearest tenth of a
degree.
U = 13i - 8j V = 2i + 9j

Answers

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

Which of the following exponential functions is represented by the graph? Question 15 options: A) ƒ(x) = (1∕2)x B) ƒ(x) = 2x C) ƒ(x) = −2x D) ƒ(x) = (1∕2)−x

Answers

Answer:

Option (A)

Step-by-step explanation:

Let the equation of the exponential function is f(x) = a(b)ˣ

Two points (-2, 4) and (-1, 2) lie on the graph,

For (-2, 4),

By substituting the values in the given function,

[tex]4=a(b)^{(-2)}[/tex]

[tex]4=\frac{a}{b^{2} }[/tex] ------(1)

For second point (-1, 2),

[tex]2=a(b)^{-1}[/tex]

[tex]2=\frac{a}{b}[/tex] -----(2)

Dividing equation (1) by equation (2),

[tex]\frac{4}{2}=\frac{\frac{a}{b^2}}{\frac{a}{b} }[/tex]

[tex]2=\frac{a}{b^{2}}\times \frac{b}{a}[/tex]

[tex]2=\frac{1}{b}[/tex]

b = [tex]\frac{1}{2}[/tex]

From equation (1),

[tex]4=\frac{a}{(\frac{1}{2} )^2}[/tex]

4 = 4a

a = 1

Therefore, equation of the exponential function will be,

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

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

Option (A) will be the answer.

Answer:Answer:

Option (A)

Step-by-step explanation:

Let the equation of the exponential function is f(x) = a(b)ˣ

Two points (-2, 4) and (-1, 2) lie on the graph,

For (-2, 4),

By substituting the values in the given function,

------(1)

For second point (-1, 2),

-----(2)

Dividing equation (1) by equation (2),

b =

From equation (1),

4 = 4a

a = 1

Therefore, equation of the exponential function will be,

f(x) =

Option (A) will be the answer.

Step-by-step explanation:

Which is a factor of x2 + 5x − 24?

Answers

Answer:

(x−3)(x+8)

Step-by-step explanation:

The middle number is 5 and the last number is -24.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 5

Multiply together to get -24

Can you think of the two numbers?

Try -3 and 8:

-3+8 = 5

-3*8 = -24

Fill in the blanks in

(x+_)(x+_)

with -3 and 8 to get...

(x-3)(x+8)

the factor is x-3 x+8 at

Community Theater Owner A community theater currently sells 200 season tickets at $50 each. In order to increase its season-ticket revenue, the theater surveys its season ticket holders to see if they would be willing to pay more. The survey finds that for every $5 increase in the price of a season ticket, the theater would lose 10 season-ticket holders. What action, if any, should the theater owner take to increase revenue? a. Let n be the number of $5 price increases in the cost of a season ticket. Write an expression for the cost of a season ticket after n price increases, and an expression for the number of season-ticket holders after n price increases. b. Use the expressions from part a to create a revenue function, R (n) , from the survey information. c. Graph the revenue function. Be sure to label the axes with the quantities they represent and indicate the axis scales by showing numbers for some grid lines.

Answers

Answer:

the owner should increase prices to increase revenue (up to n=5)a) c(n) = 50+5n; q(n) = 200-10nb) R(n) =50(10+n)(20-n)c) see below for a graph

Step-by-step explanation:

a. The cost of a ticket after n price increases of $5 each will be ...

  c(n) = 50 +5n

The number of season-ticket holders (q) after n price increases will be ...

  q(n) = 200 -10n

__

b. The revenue after n price increases will be ...

  R(n) = c(n)·q(n) = (50 +5n)(200 -10n)

  R(n) = 50(10 +n)(20 -n)

__

c. See the attachment for a graph

__

d. The theater owner should raise the price of a season ticket to increase revenue. The number of $5 price increases should not exceed 5 if revenue is to increase. Above that number, revenue will decrease.

Copying figures 6b
Can anyone help me with this? If so can you better explain it to me on paper. I’m really confused.

Answers

Answer:  see Steps 1 - 5 (attached)

Step-by-step explanation:

I completed #1 for you. Each image shows one of the steps.

Follow the exact same steps to complete #2 - #5

#6 asks for a double angle.  

Add an extra item to step 3: Draw an arc from vertex through the line  

--> then draw another arc from B' to the other side of your line (away from the dot) and label that intersection as B''.  Use the measure of the vertex to B'' for the remaining steps.

If you need step-by-step images, you will need to post #6 separately as I can only upload 5 images per question.

What is the equation of the line that is parallel to y = negative two-thirds x + 4 and that passes through (–2,–2)? On a coordinate plane, a line goes through (3, 2), and (6, 0). A point is at (negative 2, negative 2). y = negative two-thirds x minus four-thirds y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction y = negative two-thirds x minus two-thirds y = negative two-thirds x minus StartFraction 17 Over 4 EndFraction

Answers

Answer:

Option B.

Step-by-step explanation:

If equation of a line is y=mx+c, then m is the slope of line.

The given equation is

[tex]y=-\dfrac{2}{3}x+4[/tex]

Here, slope of line is [tex]m=-\dfrac{2}{3}[/tex].

We need to find the equation of line that is parallel to given equation and passes through (–2,–2).

We know that, slope of parallel lines are same. So, slope of required line is [tex]m=-\dfrac{2}{3}[/tex]. So, equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=-\dfrac{2}{3}(x-(-2))[/tex]

[tex]3(y+2)=-2(x+2)[/tex]

[tex]3y+6=-2x-4[/tex]

[tex]3y=-2x-4-6[/tex]

[tex]3y=-2x-10[/tex]

Divide both sides by 3.

[tex]y=\dfrac{-2x-10}{3}[/tex]

[tex]y=-\dfrac{2}{3}x-\dfrac{10}{3}[/tex]

Therefore, the correct option is B.

Answer:

B.) y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction

Step-by-step explanation:

We can calculate E the amount of euros that has the same value as D u.s dollars using the equation E=17/20D. How many euros have the same value as 1 US dollar? How many US dollars have the same value as 1 euro?

Answers

Answer:

You can try substituting the 1's for different variables (E, D) in the formula , to get answers for each.

suppose y varies inversely with x, and y = 6 when x = 3. Find x when y = 12.

Answers

Answer:

1.5

Step-by-step explanation:

[tex]y \: \alpha \: \frac{1}{x} [/tex]

y = k ÷ x

yx = k

y = 6 , x = 3

6 • 3 = k

18 = k

when y = 12 , x = ?

yx = k

12x = 18

x = 18÷12

x = 3/2

x = 1.5

Please help
simplify the expression
a²b⁴-b²a⁴/ab(a+b)​

Answers

Answer:

ab² - a²b

Step-by-step explanation:

a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.


1) Assume that Mike can walk 3 km per hour. If he had been walking for 5 hours away from the trail, create a table
of values to express how far he walked and graph his progress.​

Answers

Answer:

  see below for a table; see second attachment for a graph

Step-by-step explanation:

Each of the distance values in km in the table will be 3 times the time value in hours.

The slope of the line on the graph is 3. The practical domain of the distance function is 0 to 5 hours.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2.

15^2+ b^2=25^2

225+b^2= 625

b^2=400

b= 20 or x=20

Answer:

x = 20

Step-by-step explanation:

This is a right triangle and we know 2 of the points so we can use the Pythagorean Theorem to solve.  The formula for the Pythagoreom Theroem is a^2 + b^2 = c^2. Side a is 15 and Side b is x. Side c or the hypotenuse is 25. Let's solve for side b:

a^2 + b^2 = c^2

15^2 + b^2 = 25^2

225 + b^2 = 625

Subtract 225 from both sides to get b^2 alone.

b^2 = 625 - 225

b^2 = 400

Find the square root of both sides.

b = 20 or x =  20

Would appreciate it if you gave me brainliest answer :)

i need help i need help

Answers

Answer:

H1 H2 H3 H4 H5 H6

T1 T2 T3 T4 T5 T6

Step-by-step explanation:

When we roll a die we get 1,2,3,4,5,6

When get flip a coin get get H or T for heads or tails

The top right lists the possible outcomes, one for the heads or tails and one of the die outcomes

H1 H2 H3 H4 H5 H6

T1 T2 T3 T4 T5 T6

Answer:

H1 H2 H3 H4 H5 H6

T1 T2 T3 T4 T5 T6

Step-by-step explanation:

PLEASE HELP Draw the reflection of the figure over the line shown.

Answers

The answer is in the picture

Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,

Answers

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.

In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year.

Answers

Complete question :

In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year. calculate the first year's net income under both the cash basis and the accrual basis of accounting.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Earned revenue = $53,000

Cash received from customers = $45000

Incurred expenses = $29,500

Cash paid towards incurred expenses = $23,050

Cash which will not be expensed till next year = $8,750

Cash Accounting:

Cash received $45,000

Expenses ($23,050 + $8750) = $31,800

Net Income $(45,000 - 31,800) = $13,200

Accrual Accounting :

Revenue earned $53,000

Expenses incurred $29,500

Net income $(53,000 - 29,500) = $23500

For what values of a the following expressions are true: |a−5|=5−a

Answers

Answer:

Whenever  [tex]a\leq 5[/tex].

Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]

So 5 works. Let's try a random number like 3.

[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]

Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.

[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]

Zero works.

[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]

-3 works.

[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]

-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.

[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]

Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].

Hope this helped!

It’s 0 I think but I am not sure I might be wrong but oh well
Other Questions
The cross AB/ab X ab/ab produces the following progeny: AB/ab 391, ab/ab 401, aB/ab 406, Ab/ab 386. From these data, one can conclude that the A and B loci assort independently.A. TrueB. False Next number in this series is? 2 2 1/2 1 1/2 2 A project's incremental cash flow is the difference between the firm's cash flow if it accepts the project versus if it rejects the project. Thus, if a project has an initial cost of $1 million in Year 1 and no other costs or revenues, then the incremental cash flow in that year will be -$1 million. True or false? Choose one of the two major phases of photosynthesis. Draw a model of that phase that corrects one of the weaknesses in the students original model. Complete the sentence with the correct past tense: L't dernier ils ________ avec leurs cousins chez leurs grands-parents. 1.jouaient 2.ont jou 3.sont jou 4.vont jouer A central angle is best described as which of the following?A.It has a measure greater than 180 degrees.B.It is an angle that has its vertex on the circle.C.It is an angle that has its vertex at the center of a circle.D.It is part of the circumference of a circle. Describe how honeycomb stiffens without materially increasing its weigh A cougar can run 25 miles per hour. A cheetah can run 55 miles per hour. if they both run at 3 hours full speed, how much farther will the cheetah run Calculate the volume in liters of a M mercury(II) iodide solution that contains of mercury(II) iodide . Round your answer to significant digits. Please answer this correctly without making mistakes -easy history points -What is a treaty?A)an informal agreement between two or more nationsB)a formal agreement between two heads of stateC)an informal agreement between two heads of stateD)a formal agreement between two or more nations Thank you for helping Given: (in picture as I cannot type it like that.) Name the postulate or theorem you can use to prove: (also in the picture) A. HL Theorem B. AAS Theorem C. SAS Postulate D. ASA Postulate What is peer pressure? A)the strength of the bonds of friendship B)the influence of others to behave in a certain way C)the understanding that friendships revolve around social status D)the need to influence the decisions of others Bruhhh I need help dude !!! In the diagram, PQRT is a rhombus. STUQ andPUR are straight lines. Find the values of x and y. The price of a vase was increased by 10% to 22. What was the price before the increase? **easy history points** What are the two main categories of public policy?A foreign and socialB. foreign and economicC foreign and domesticD. foreign and defense The time it takes to travel from home to the office is normally distributed with = 25 minutes and = 5 minutes. What is the probability the trip takes more than 40 minutes? What must a speaker do with an organized audience?