Find the present value that will grow to $1000 if the annual interest rate is 5.5% compounded quarterly for 10 years

Answers

Answer 1

Answer:

1708.14 rounded

Step-by-step explanation:

Y= a•b^x

5.5% = 0.055

1+0.055=1.055

Y= 1000•1.055^10

Y= 1708.14


Related Questions

There are 52 cards in a standard deck of cards, with four of each type of card: Ace ,2,3,4,5,6,7,8,9,10,Jack ,Queen ,King . Let event A be choosing a 7 out of a deck of cards. Identify the numbers of each of the following. Enter the probability as a fraction:

Answers

Answer:

The probabilitiy of pulling a seven is 1/13 or 7.69%

Step-by-step explanation:

Im not sure if you wanted just the probability of pulling a seven or if you wanted others as well but to find out the probability  you take the total amount of cards, 52, then you take the total amount of 7's in the deck which is 4, one for each card type.

Therefore you get 4/52 or simplified to 1/13 by dividing by 4 on the numerator and the denominator.

The probability is defined as the ratio of favorable outcome to the total number of outcomes. The probability of getting a 7 out of deck of cards is 1 / 13.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

Given that,

The total number of cards = 52

The types of card present in a the deck = 4.

Suppose A be the event of selecting one 7 out of a deck of cards,

Then, the probability of event A can be given as,

P (A) =  Number of 7's in the deck ÷ Total number of cards in the deck.

Since, there are four types of cards, the number of 7's in the card is 4.

Thus, P(A) = 4 / 52

    => P(A) = 1 / 13

Hence, the probability selecting one 7 out of a deck of cards is P(A) = 1 / 13.

To know more about probability click on,

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help pls !! what is the value of K ?

Answers

The values of K is 10
Hope this helps:)

–3t — 6t =

syplified ​

Answers

Answer:

-9t

Step-by-step explanation:

-3t -6t

using multiplication of signs

-×-=+

so add the numbers because they have the same

coefficient

-3-6= -9

so

-3t-6t=9t

As I was sitting on a dock, I noticed that the wavelength of the waves were about 6 m long. The crest
of each wave would pass the front of the dock every 8 seconds. Find the frequency of the wave.

Answers

Answer:

IT IS C I BET YOU 6 AND 8

Step-by-step explanation:

The frequency of the wave is equal to: C. 0.125 Hertz

Given the following data:

Wavelength = 6 mTime period = 8 seconds

To determine the frequency of the wave:

A wave can be defined as a disturbance in a medium that progressively transports energy from a source location to another location without the transportation of matter.

Some of the characteristics associated with a wave are:

Speed.Amplitude.Wavelength.Time period.Frequency.

Mathematically, the frequency of a wave is given by the formula:

[tex]Frequency = \frac{1}{Time\;period}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Frequency = \frac{1}{8}[/tex]

Frequency = 0.125 Hertz

Read more: https://brainly.com/question/14708169

How many five-symbol computer passwords can be formed using the letters A to J and the digits 3 to 6

Answers

Answer:

3354 ???

Step-by-step explanation:

i think thats right, have a good day! :)

plz give me brainliest if u can

Find the solution of this system of equations
2x - 2y = -20
-2x + 4y = 14

Answers

The (x, y) would be (-13, -3)

Please help it would help alot

Answers

First space is 6
Second one is 5

Hope this helps

Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value.
(f - g)(-3)

Answers

Answer:

(f - g)(3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 2

g(x) = x + 1

Step 2: Find

Find (f - g)(x)

Substitute:                         (f - g)(x) = 4x - 2 - (x + 1)Distribute -1:                      (f - g)(x) = 4x - 2 - x - 1Combine like terms:         (f - g)(x) = 3x - 3

Find (f - g)(3)

Substitute:                         (f - g)(3) = 3(3) - 3Multiply:                             (f - g)(3) = 9 - 3Subtract:                            (f - g)(3) = 6

Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1

Answers

Answer:

Step-by-step explanation:

x = 0

x+3 = 0

x = -3

The answer is x could be 0 or -3

Answer:

c on edge

Step-by-step explanation:

A grocery store recently changed their apple supplying vendor. The vendor told the store manager that the mean weight for each apple is bell-shaped with # mean of 7.5 ounces and a standard deviation of 1.33 ounce (a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples? (b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces? (c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b? Explain it.

Answers

Answer:

b) 0.0042495

c) 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

Step-by-step explanation:

mean of 7.5 ounces and a standard deviation of 1.33 ounce

When random number of samples are given, we solve using z score with the formula

= z = (x-μ)/σ/√n, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?

(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√25

z = (8.2 - 7.5)/1.33/5

z = 2.63158

Probability value from Z-Table:

P(x<8.2) = 0.99575

P(x>8.2) = 1 - P(x<8.2) = 0.0042495

(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?

For n= 10

x > 8.2 ounces

= z = (x - μ)/σ/√n

z = (8.2 - 7.5)/1.33/√10

z = 1.66436

Probability value from Z-Table:

P(x<8.2) = 0.95198

P(x>8.2) = 1 - P(x<8.2) = 0.048021

Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c

At the end of a snow storm, Mia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. Let SS represent the depth of snow on Mia's lawn, in inches, tt hours after the snow stopped falling. The table below has select values showing the linear relationship between tt and S.S. Determine the rate at which the snow is melting per hour.

Answers

Answer:

the snow per hour is

Step-by-step explanation:

um wait what chart theres no info to awnser this sorry you may delete this awnser :( but im letting ya know

Answer:

1.5 is the answer.

Step-by-step explanation:

A carpenter is building a rectangular shed with a fixed perimeter of 68 ft. What are the dimensions of the largest shed that can be built? What is its area?
The dimensions of the largest shed are _____ by _____.
The area of the largest shed is _____.

Answers

Answer:

The dimensions of the largest shed are 17 ft by 17 ft.

The area of the largest shed is 289 sq ft.

Step-by-step explanation:

Given that:

Fixed perimeter of the rectangular shed = 68 ft

To find:

The dimensions of the largest shed that can be built = ?

And

Area of the largest shed that can be built = ?

Solution:

First of all, let us have a look at the formula for perimeter of a rectangular shape shed:

Perimeter of a rectangle = 2 [tex]\times[/tex] (Length + Width)

68 = 2 [tex]\times[/tex] (Length + Width)

Length + Width = 34

The largest possible values are only in the case when the rectangle is a square.

i.e. Length = Width

Therefore values of length and width are:

Length = Width = [tex]\frac{34}{2} = 17\ ft[/tex]

Area of a square is given by the formula:

[tex]A = Side \times Side[/tex]

[tex]A[/tex] = 17 [tex]\times[/tex] 17  = 289 sq ft

The answer is:

The dimensions of the largest shed are 17 ft by 17 ft.

The area of the largest shed is 289 sq ft.

Anna is x years old and her sister, Jane is y years younger
What was the sum of their ages two years ago?
What will be the sum of their ages in 3 years?
How old was anna when Jane was born?

Answers

Answer:

Age of Anna = x years

Age of Jane i.e. Anna's sister = (x-y) years

a, What was the sum of their ages two years ago?

Solution,

Age of Anna two years ago = (x-2) years

Age of Jane two years ago = (x-y-2) years

Sum of their ages = x - 2 + x-y-2 = 2x - y -4

b. What will be the sum of their ages in 3 years?

Solution,

We have,

Present age of Anna = x years

Present age of Jane = (x-y) years

So,

Age of Anna after 3 years = (x+3) years

Age of Jane after 3 years = (x-y+3) years

Therefore,

Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6

c. How old was Anna when Jane was born?

Solution,

Here,

According to question,

Jane is y years younger than Anna

So, Anna was y years when Jane was born.

[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]

Andre performs a 90-degree counterclockwise rotation of Polygon P and gets Polygon P', but he does not say what the center of the rotation is. Can you find the center? Explain how you know.

Answers

Answer:

eefhhdfbhvfhfajfdhjk,nm?sorry dont knwo

Step-by-step explanation:

P÷7 when p=42..................

Answers

If p is equal to 42 then you replace the p in the equation. Now it is 42/7. 42/7=6

The answer is 6. Have a nice day/night!!!

Parallel to the line y=-3x + 5 passes through (-4,5)

Answers

Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Step-by-step explanation:

Given equation of line is:

[tex]y = -3x+5[/tex]

General form of slope-intercept equation of line is:

[tex]y=mx+b[/tex]

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form

[tex]y = -3x+b[/tex]

Putting (-4,5) in equation

[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]

Putting in the general form, we get

[tex]y = -3x-7[/tex]

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

A patient has been ordered Oxycodone 10mg Q6H PO for 5 days. How many 10mg tablets should be dispensed?

Answers

Answer:20 tablets

Step-by-step explanation:

Asked my MD father.

Answer: 20 tablets
I did the equation I’m my head

Kaylie and Juan are in a Dance-a-thon. Contestants rest for the same amount of time every hour. Kaylie rests for 22 minutes in 4 hours. How long did they rest in 28 hours? Find the unit rate.

Answers

Answer:

154 mins or 2 hour and 34 mins

Step-by-step explanation:

Step 1:

22 : 4          Ratio

Step 2:

22 : 4 = x : 28          Equation

Step 3:

4x = 616       Multiply

Step 4:

x = 616 ÷ 4        Divide

Answer:

x = 154

Hope This Helps :)

find the slope of (6,3) and (5, -1)​

Answers

Answer:

the slope is 4

Step-by-step explanation:

the slope is found by subtracting  the y values for the numerator and then subtracting the x values for the denominator

y values -1-3=-4

x values 5-6=-1

slope=-4  

slope=4

           -1

Answer:

4

Step-by-step explanation:

Formula for solving for the slope of two points-

(y2-y1)/(x2-x1)

(-1-3)/(5-6)=

-4/-1=

4/1=

4

Order the following numbers from least to greatest

-14/3

-5.1

-4

Answers

Answer:

-14/3 -5.1 -4

Step-by-step explanation:

-14/3 = -4.6666666

Least to greatest:

-5.1
-14/3
-4

Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.

16. Three times one number is equal to two times the larger one and their difference is 1. What are the numbers?
17. Joseph has 30 coins and they are all either dimes or nickels. The total $2.15. How many dimes does he have?
18. A golfer completed 18 holes with a total of 79 strokes. On each hole he met par, which was either four or five each time. How many holes were played in four strokes?
19. There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?
20. There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?

Answers

Answer: Here are the answers. I walked you through 16 in my answer.

16. 3x=2y

    1 =y-x

x=2 and y=3  

17. $2.15=.10d+.05n

      d=30-n

There are 17 nickels and 13 dimes

18. 18=4x+5y  (since that's the total amount of holes and each par is either 4 or 5 strokes each)

     4x=79-5y  (since there are 79 total strokes and each was either 4 or 5)

No solution

Step-by-step explanation: For each problem, you have to write down the information you know, then define variables for the unknown. For 16, for example, they tell you that one number, which I have chosen to call x, is equal  to two times the larger number, which I have chosen to name y. So, you'd have an equation that equals x. It also tells you that you need three times x, and two times y, which can be rewritten as 3x and 2y. In other words, 3x=2y. That said, you can move on to the next equation. Since you know the difference is 1, in other words, y-x=1, or y=x+1 ( I isolated y by adding x to both sides), you can put that into your equation as well. From there, I used the substitution method to solve.

3x=2y                      

               so          3x=2(x+1)

y=x+1  

3x=2(x+1)                 --- orig equation

3x=2x+2                   --- distributive property (Multiplied x+1 by 2)

x=2                           ---- subtracted 2x from both sides

**Now, to find y, you can substitute x into either equation. Since I know y=x+1 where x=2, I know that y must be 3. To check this, you can graph on Desmos. The lines should intersect at (2,3).

For 18, the lines are parallel so they never intersect. There is no solution.

answer:

16. 3x = 2y, 1 = y - x → 2, 3

17. 2.15 = 0.10d + 0.05n, d = 30 - n → 13 dimes and 17 nickels

18. 18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes

19. 3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3

20. a = 3/5b, 2/5b = 4 → Pair 1: 6 and 10, Pair 2: 10 and 6

i hope this helps!! ♡

An island population of 20,000, grows by 5% each year, compounded continuously. How many inhabitants will the island have in 5 years according to the exponential growth function? Round your answer down to the nearest integer, and do not include the units in your answer.

Answers

Answer:

The answer is "25680.508"

Step-by-step explanation:

Use formula:

[tex]A=Pe^{rt}[/tex]

   [tex]=20000 \times e^{((0.05) \times (5))}\\\\=20000 \times e^{(.25)}\\\\=25680.508[/tex]

Factorise fully
15x-10

Answers

Answer:

15

x

+

10

y

Factor

5

out of

15

x

.

5

(

3

x

)

+

10

y

Factor

5

out of

10

y

.

5

(

3

x

)

+

5

(

2

y

)

Factor

5

out of

5

(

3

x

)

+

5

(

2

y

)

.

5

(

3

x

+

2

y

)

Step-by-step explanation:

Monica was baking A recipe for banana nut muffin with her mom the recipe calls for 3/4 cups of walnuts but they only have 1/4 cup measuring scoop how many 1/4 cup scores will Monica need in order to get the correct measurements of walnuts

Answers

Answer: She will need three cups scores.

Step-by-step explanation:

3/4 divided by 1/4 is three.

The answe is b and try it harder

Write a division problem that has a quotient of 12.
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 12.

Answers

12%12 that’s ur answer

4x-3=2x+7 Someone Help Please

Answers

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

subtract 2x from both sides

2x-3=7

add 3 to both sides

2x=10

divide both sides by 2

x=5

Answer:

x = 5

Step-by-step explanation:

Original Equation:

4x - 3 = 2x + 7

Add 3 to both sides

4x = 2x + 10

Subtract 2x from both sides

2x = 10

Divide both sides by 2

x = 5

Hope this helps :)

Please consider Brainliest :)

what is the value of b and c

Answers

Answer:

its 7

Step-by-step explanation:

Find the volume of the prism

Answers

Answer:

do you have an image for that?

Step-by-step explanation:

Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pints of ice cream, what is the greatest number of guests that Carly can serve?

Answers

Answer:

he can only serve 2

Step-by-step explanation: since  3.5 plus 3.5 is 7.0 if you add one more it turns to 7.0 plus 3.5  10.5 so the greatest he can serve is two people

(a) Solve 5x - 2 = x + 8
Show clear algebraic working.​

Answers

Answer:

Required Answer:-

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2=x+8 [/tex]

interchange both sides

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-x=8+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x=10 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {10}{4}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=2.5 [/tex]

747 is the correct answer
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