How much should be invested now at an interest rate of 6% per year, compounded continuously, to have $2500 in five years?

Answers

Answer 1

Answer:

$1,923.08.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

P = 2500 / ( 1 + (0.06 × 5)) = 1923.0769230769

P = $1,923.08

The principal investment required to get a total amount, principal plus interest, of $2,500.00 from simple interest at a rate of 6% per year for 5 years is $1,923.08.


Related Questions

Yahaya, a Tailor started sewing an agabada dress at 9:45am. he completed the dress at 12:30pm. How long did he take to sew the dress​

Answers

The tailor took 3hours 15mins long to sew the dress

pls help i need a good grade pls

Answers

Answer:

[tex]4*\frac{1}{6}[/tex]

Step-by-step explanation:

The number lines end points are 0 and 1 so the whole number line has a value of 1.

The number line is also broken up into 6 sections.

Then we have the pink rectangles that cover up each section. There are 4 of them and each cover 1/6 of the number line

So the expression that would represent the model would be 4 x 1/6

Answer:

4 * 1/6

Step-by-step explanation:

So to begin, I would find out what all the answers are equal to.

4 * 1/8 = 4/8 = 1/2

4 * 1/4 = 4/4 = 1

4 * 1/6 = 4/6 = 2/3

4 * 1/3 = 4/3

Next I would rule out all the answers bigger or equal to one, so 4 * 1/4 and 4 * 1/3.

Last, this fraction splits one into six parts, and 4 parts are highlighted. 4/6 is equal to 4/6. Your answer is 4 * 1/6

A circle with a radius of 9 millimeters.

Answers

Answer:

You didnt give us a question to answer, just a statement.

Step-by-step explanation:

the circumference of a circle is 110 cm . find its area​

Answers

Answer:

It's about 962.89 cm^2

Answer:

962.89cm^2

Step-by-step explanation:

So, in this question, you have to find the radius of the circle because the area of a circle = πr^2. So first, you find r^2, and to do that, you divide 110 by π and you get 35.0140874802, now divide that by two and you get 17.5070437401 and that is your radius. Now, you do 17.5070437401 to the power of 2 (17.5070437401^2) and you get 306.496580518. Now multiply that by π and you get 962.89.

brainliest p l z

Find the volume and surface area of the trapezoidal prism.

Answers

Answer:

sa =45

vol = 6000.

I hope it helps. and if you can, give me the brainlist

The area of a rectangle is 99 ft2, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle.
Length: ft
5 ?
Width:

Answers

Answer:

[tex]Width = 11/2ft, Length = 18ft[/tex]

Step-by-step explanation:

I'm not sure this might be right, hope this is helpful!

Can someone please help me with 4, 5, 6, 7, 8

Answers

4)1,-1
5) 2,1
6)2,1
7) 3,10
8)-3,8
4) x=1, y= -1

5) x=2, y=1

6) x=2, y=1

7) x=3,y=10

8) x= -3, y= 8

Which of the following functions has an inverse that is not a function?

Answers

Answer:

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

Step-by-step explanation:

The inverse of a quadratic function is not a function.

The sum of two times a number and seven is five times the difference of a number and six. Solve for the variable then Round your answer to the nearest hundredths.

Answers

Answer:

4.33

Step-by-step explanation:

2N + 7 = 5N - 63N = 13N = 13/3N = 4.33

The Venn diagram shows the number of employers who ranked skills important for careers in their field.

C represents communication, T represents technical skills, and M represents the ability to handle money.

Circles C, T, and M overlap. Circle C contains 9, circle T contains 7, and circle M contains 19. The overlap of C and M contains 22, the overlap of M and T contains 21, and the overlap of T and C contains 18. The overlap of all 3 circles contains 25.

How many employers ask that employees be skilled in communication and handling money?

47
50
67
86

Answers

Answer:  47 (choice A)

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

Explanation:

C = set of people skilled at communication

M = set of people skilled at handling money

Refer to the Venn Diagram shown below.

The blue region refers to the set of employees that are in circle C and in circle M.

Add up the numbers in the blue region to get 22+25 = 47

First round 0.676 to the nearest tenth.

Answers

Answer:

0.7

Step-by-step explanation:

Since 7 is above 5, you round 0.676 to 0.7

Answer: 0.7

Step-by-step explanation:

The nearest tenth is one decimal space after the dot. ex: 0.1234

Therefore, rounding 0.676, the 7 is ≥ 5, therefore we round the 6 up one number. This means the 0.6 becomes 0.7.


There are 12 servings in a box of cereal. Each day, Ryan eats 2 servings of cereal. What fraction of the full box of cereal has Ryan eaten after 5 days?

Answers

2 servings over 5 days = 2 x 5 = 10

10/12 = 5/6 (simplified fraction)

Find the value of x in the triangle shown below.
=
२०
14
14
50°
18

Answers

Answer:

x = 87

Step-by-step explanation:

37 + 56 = 93

triangles always equal to 180

180 - 93 = 87

fred buys a shipment of fruit that consists of only apples and oranges. for every 3 apples, there are 2 oranges. if there are 5 dozen pieces of fruit total, how many are oranges?

Answers

Answer:

24

Step-by-step explanation: 5 dozens = 60  so  3 +2=5 . 60 / 5 = 12 12 x 2 = 24

Please i really need help, i really need this i will give a brainliest to the people that answer correctly

Answers

Answer:

Graph B

Step-by-step explanation:

Replace y with x and vice versa.

y=1/2x+2 becomes x=1/2y+2

Then solve for y. Subtract 2 from both sides, then multiply by 2 which results in:

y=2x-4

Graph B is the one that has a y-intercept at -4 and a rise/run of 2.

You have a career and are given a salary of 45,000. If you have to pay 15% of your income in Federal and State taxes, how much money do you make after paying taxes? What is your monthly income?

Answers

Answer:

after taxes: $38,250monthly: $3,187.50

Step-by-step explanation:

Your after-tax income is the gross pay less the amount that is paid to taxes. The monthly income is 1/12 of the annual amount.

__

The tax is the taxed amount multiplied by the tax rate.

  taxes = $45,000 × 15% = $6,750

The after-tax income is the income less the taxes:

  after-tax income = $45,000 -6,750 = $38,250

The monthly income is 1/12 of this amount:

  monthly income = annual income/12 = $38,250/12 = $3,187.50

If f(x) =1/x and g(x) = x - 2 what is f(g(x)) when X = 1​

Answers

Answer:

f(g(x)) = -1

Step-by-step explanation:

[tex]f(x) = \frac{1}{x} \\ \\ g(x) = x - 2 \\ \\ \implies \: f(g(x)) = \frac{1}{x - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{1 - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{ - 1} \\ \\ \implies \: f(g(1)) = - 1[/tex]


Inflation is causing prices to rise at a rate of 10% per year. For an item that costs $300 today, what will be in 4 years?

Answers

Answer:

I'd say 439.3!

Step-by-step explanation:

I'm so sorry if this is wrong!

What is area of the irregular figure below? 6in 4in 12in

Answers

Composite figures can be subdivided into standard shapes. The area of the considered composite shape is 112 sq. cm

How to calculate the area of a composite figure?

Area of some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc is already derived.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

The missing image is attached below.

We can split this composite figure in two parts by extending the line CG to meed AE on the point D. It makes a square (top) and a rectangle(bottom) as shown in the right sided image.

Area of the figure = Area of the top square + Area of the bottom rectangle.

Finding area of the top figure ABCD:

Length of AE = |AE| = 16 cm

|AE| = |AD| + |DE| = 16

|DE| = |GF| = 8 cm

Thus, we get:

|AD| + 8 = 16

|AD| = 8 cm

Assuming the sides AD and BC are parallel, and so as the pair of sides AC and BD, and adjacent sides are perpendicular, its a rectangle with length = width = 8 cm, so its a square of side length 8 inches.

Area of square ABCD of side length 8 inches = [tex]\rm side^2 = 8^2 = 16 \: cm^2[/tex]

Finding area of the bottom figure DEFG:

Assuming opposite sides of DEFG are parallel to each other and adjacent ones are perpendicular, we get:

|DE| = |GF| = 8 cm

|EF| = |DG| = |DC| + |CG| = |AB| + |CG| = 8+8 = 16 inches

Thus, its a rectagle with dimensions of 8 cm by 16 cm.

Thus, its area is: [tex]\rm Length \times width = 8 \times 12 = 96 \: \rm cm^2[/tex]

Thus, area of the composite figure = 16 + 96 = 112 sq. cm.

Learn more about area of a composite figure here:

https://brainly.com/question/10254615

#SPJ1

a ball is kicked 26 m ​

Answers

ball starts at 26m


1st bounce = 13 m

2nd bounce = 6.5 m

3rd bounce = 3.25 m

4th bounce = 1.625 m

5th bounce = 0.8125 m

6th bounce = 0.40625 m

7th bounce = 0.203125 m


answer: 0.203125 meters

In a class of 25 students, 13 have a brother and 9 have a sister. There are 7 students who do not have any siblings. What is the probability that a student chosen randomly from the class has a brother and a sister?

Answers

Answer:

Step-by-step explanation:

Discussion

9 with a sister

13 with a brother

7 with neither.

The total is 29 so you are  counting some siblings twice. There are 29 - 25 students that have both, so 4 students have both.

P(brother and sister) = 4/25

P(brother and sister) = 0.16

Answer

P = 0.16

2x-y=-2 & x-2y=-16

It's due in an hour and I'm almost done :)

Answers

Answer: x = 4, y = 10

Step-by-Step Explanation:

We can solve it by Substitution Method,
=> 2x - y = -2 (Eq. 1)
=> x - 2y = - 16 (Eq. 2)

Therefore, from Eq. 2 :-
=> x = -16 + 2y (Eq. 3)

Substitute value of ‘x’ in Eq. 1 :-
=> 2x - y = -2
= 2(-16 + 2y) - y = -2
= -32 + 4y - y = -2
= -32 + 3y = -2
= 3y = -2 + 32 = 30
= 3y = 30
=> y = 30/3 = 10

Therefore, y = 10

Substitute value of ‘y’ in Eq. 3 :-
=> x = -16 + 2y
= x = -16 + 2(10)
=> x = -16 + 20 = 4

Therefore, x = 4 and y = 10

select the option for ? 3, 5, 12, 55, 648, ?

Answers

Answer:

What option are you talking about for, is it for your quiz or for your classwork

I need some help solving this problem as soon as possible please!

Choose the correct ordered pairs represented in the table. The following table gives per unit costs for furniture and
shows selling prices. The numbers represent hundreds of dollars.

Answers

Step-by-step explanation:

an ordered pair is always the combination of an input value and the corresponding output value.

so, it is all already written in the table :

(1, 1)

(2, 4)

(3, 9)

(4, 16)

(5, 25)

Answers:

The ordered pairs are:

(1,1)(2,4)(3,9)(4,16)(5,25)

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

Explanation:

The top row represents the inputs, while the bottom row is the outputs.

Each ordered pair is of the form (input, output)

Each column represents a different ordered pair.

For example, the last column has the input 5 and output 25 to give the ordered pair (5,25)

Extra Notes:

Usually x is the input and y is the output. In this case, we have c as the input and f(c) as the outputThe function rule in this case is f(c) = c^2

hi! how do i do this?

Answers

Answer:

  p = 2

Step-by-step explanation:

A rational function has a vertical asymptote where the denominator is zero.

__

Your function will have a denominator that is zero when ...

  x -p = 0   ⇒   x = p

We are told there is a vertical asymptote at x = 2. That means ...

  p = 2

If x=5 and y=7, evaluate the following expression:
20−(3y−4x)

Answers

Answer:

[tex]\huge\boxed{\bf\:19}[/tex]

Step-by-step explanation:

Given,

x = 5y = 7

Now, the expression is: [tex]20 - (3y - 4x)[/tex].

To solve this question we just need to substitute the values of x & y in the given expression. Then,

[tex]20 - (3y - 4x)\\= 20 - (3(7) - 4(5))\\= 20 - (21 - 20)\\= 20 - 1\\= \boxed{\bf\:19}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

What are the surface areas of these two prisms

Answers

35 is the answer have a good day

Chad is making trail mix for his next hiking club meeting. He mixes 2 pounds of peanuts, 2 pounds of raisins, and 1 pound of chocolate chips. His little sister asks him for a snack, so he gives her 5 ounces of the trail mix. Then, he portions out the rest for his meeting. If Chad splits the remaining trail mix evenly among 25 snack bags, how many ounces of trail mix will each bag have?

Answers

Answer:

3 ounces

Step-by-step explanation:

1 pound = 16 ounces

2(16) + 2(16) = 16 = 80 ounces of train mix - 5 from sister = 75 remaining

75 ounces of trail mix / 25 snack bags = 3 ounces of mix in each bag

does 4x^2=0 have 2 solutions

Answers

Answer:

it has only one solution x = 0

Step-by-step explanation:

4x² = 0

⇔ x² = 0   (4 > 0)

⇔ x = 0  (the formula: x² = 0 ⇔ x = 0)

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=3 inches and b=1 inch, what is c? If necessary, round to the nearest tenth.

Answers

We are given with

a = 3 inches

b = 1 inch

and c = ?

So as it is a right triangle and a and b are for legs

also c is for hypotenuse

=> We can apply Pythagoras theorem

[tex]\:\bf\boxed{Pythagoras\: Theorem\: =>\: c \:= \:\sqrt{a²\: +\:b²}}[/tex]

=> [tex]\:\mathtt{\:c \:= \:\sqrt{(3)²\: +\:(1)²}}[/tex]

=> [tex]\:\mathtt{\: c \:= \:\sqrt{9\: +\:1}}[/tex]

=> [tex]\:\mathtt{\: c \:= \:\sqrt{10}}[/tex]

=> [tex]\:\mathtt{\: c \:= \:3.16}[/tex]

Required nearest tenth number for hypotenuse = 3.2 inches

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Other Questions
A quantity y varies inversely with the square of x. If y=8 when x=3, find y when x is 4A. 3/2 B. 7/3C. 9/2D. 5/3 Choose all the answers that apply.The atmosphere:protects the earth from harmful radiationis made mostly of nitrogentraps heat from the sunO can be used to transmit radio signals Are gender traits completely a result of societal expectations? #no need of internet answer # how do illuminated manuscripts comment on early christian ascetic ideals What resort city is located on the baja california peninsula?. After the Long March and what looked like the defeat of the Communists,what happened that allowed them to win the Chinese Civil War? Explain: Donald Trump has a mass of 108 kg, calculate his height when he is at the following heights (g=9.81 N/kg): a) 20 J b) 1050 J c) 150 kJ d) 120 J e) 2000 J f) 57 J g) 1200 J h) 1 kJ i) 92 kJ help me pls! giving out brainliest (I will give brainliest and give 30 points) A cat is fed a diet designed for dogs. Which amino acid is most likely to be deficient in this cat's diet? anyone knows this?! Hi therePlease please please Provide me any biblical verse, A.S.A.PI have an assignment.Thank you Leah and Chris have 3 sushi rolls to share equally for lunch. Leah wants to know how many sushi rolls she will get. if sally has 2 sea shells to sell and she only ends up selling one how many sea shells does she have left? Solve this system of linear equations. Separatethe x- and y-values with a comma.7x = -63 - 11y Which is not included in good decision-making?A. weighing consequencesB. considering your values and beliefsC. taking an actionD. acting based on instinct First, Explain clearly your own understanding of Desdemonas character.Then, Read Act 4 Scene 3 ( lines 43-98) fromThe poor soul sat sighing by a sycamore tree to their husbands faults/If wives do fall.How does this dialogue develop your response to Desdemona? In the course of your answer:Look closely at the language, imagery and tone of the passageComment on what the passage suggests about the role of women in the play and compare/contrast Desdemona to them.Your well written response should be 3 paragraphs in length and include 2-3 quotes from the play as evidence of your claims.(The book is Othello) In a reflex arc, the effector can be A. a muscleB. a nerveC. an interneuronD. a sense Write the chemical equation for the follow- ing: "carbon plus oxygen produces carbon dioxide." Label the parts of the equation. What is the amplitude of the wave?