You deposit $10,000 in an account that pays 4.5% interest compounded quarterly. Find the future value after one year. ​

Answers

Answer 1

Answer:

11800

Step-by-step explanation:

4.5%=0.045

0.045x10,000=450

450x4(quarterly)=1800

10,000+1800= 11800

Answer 2

Answer:

After 1 year, $10,457.65

Step-by-step explanation:

P = $ 10, 000

r = 4.5% = 0.045

T = 1 year

n = 4 ( compounded quarterly )

      [tex]A = P( 1 + \frac{r}{n})^{nt}[/tex]

         [tex]= 10000( 1 + \frac{0.045}{4})^{4 \times 1}\\\\=10000 \times 1.01125^{4}\\\\= 10000 \times 1.04576508633\\\\= 10457.6508633\\\\= \$ 10, 457.65[/tex]


Related Questions

Pls I’ve been stuck on this

Answers

Area of a circle is pi x radius^2

Area = pi x 22 ^2

Area = pi x 484

Area = 1,519.8 mm^2

Answer:

1520.5mm²

Step-by-step explanation:

Area of a circle=πr²

π(22mm)²

π484mm²

1520.5308443374599mm²

to one decimal place

1520.5mm²

The playground director has a total of
24 basketballs and footballs. He has
6 more footballs than basketballs, How
many of each does he have?

Answers

Answer:

9 basketballs

15 footballs

Step-by-step explanation:

The number of basketballs will be y.

The number of basketballs will be y + 6.

y + y + 6 = 24

2y + 6 = 24

2y + 6 - 6 = 24 - 6

2y = 18

2y ÷ 2 = 18 ÷ 2

y = 9

y + 6

9 + 6 = 15

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = 3 x squared + 2 x minus 8

Answers

Answer:

Table A

Step-by-step explanation:

y  = 3x^2 +2x -8

The quadratic is in the form

y = a x^2 +bx+c

a = 3  b = 2 c = -8

Since a > 0 it opens up

The y intercept is c so the y intercept is -8

Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.)
f(x) = 8|x − 6|
f(−2) =

f(0) =

f (1/2)=

f(2) =

f(x + 1) =

f(x2 + 7) =

Answers

Step-by-step explanation:

my answer is in the image above

Find the 22nd term of the arithmetic sequence whose common difference is d =3 and whose first term is a_1=-20

Answers

1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49,52,55,58,61,64,67,70,73,76,79,82,85,88,91,94,97,100

f(n) = 1 + 3(n-1) = 1 + 3n - 3 = 3n -2

f(22) = 3(22)-2 = 66-2 = 64

Find the length of X ( IN THE PICTURE)​

Answers

Answer:

x=3

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

x           4

----- = -----------

4.5        6

Using cross products

6x = 4.5 * 4

6x =18

Divide by 6

6x/6 = 18/6

x = 3

High school students across the nation compete in a national financial capability challenge exam. students who score in the top 5 percent get recognized publically for their achievement by the Dept of Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?

Answers

Answer:

2

Step-by-step explanation:

Follow the 68-95-99.7 rule

The answer is 2 standard deviations

Find the median and mean of the data set below: 6 , 37 , 2 , 38 , 1 , 3 , 46 6,37,2,38,1,3,46

Answers

Answer:

Mean: 19

Median: 6

Step-by-step explanation:

if for a dog 1 year is 7 ears for them, how many hours in 24 hours is one day for dogs?

Answers

Answer:

168hrs in division terms of every 1 year x 7 etc...

It will always be 24hrs nothing changes set of units to same units.

However because the equivalent to a same length of life as human is 1/7 we can do the reciprocal = 7 and do 24 x 7 = 168 hrs, but as many younger and healthy dogs eat and sleep the same as humans then equivalent would be not a good way to compare a dogs life.

Longer life breeds like Labrador or mixed breed dogs if walked at least 4 times a day and away from other dogs and all day young kids can live older than 20 and have actually be more compared to 4-5 years and so the comparison would be like 96 hrs or 120 hrs, but hours stay 24 a day for all animals as units don't change same units. Day represents a day and a year represents sun rise to sun fall to sun rise again x 365.

 

Which of the following is not an example of a parent function?
y=x
y=2x^3
y=1/2
y=2^x

Answers

9514 1404 393

Answer:

  (b)  y=2x^3

Step-by-step explanation:

The function y=2x^3 is an example of the parent function y=x^3 being vertically scaled by a factor of 2. As such, it is not the parent function.

_____

Additional comment

A parent function is one that has not been translated or scaled in any way. One could argue that the parent function of the form y=constant is y=1, so that the function y=1/2 has been scaled by a factor of 1/2. In this problem, we recognize the parent function y=x^3 has clearly been scaled to get y=2x^3, so the latter is not an example of a parent function.

If this is a "check all that apply" question, then y=1/2 is another reasonable answer.

Answer:(b)  y=2x^3

Step-by-step explanation:

What is the sum of the series 18 E n=4 (n+1) ^2? 1,239 2,415 2,440 2,469

Answers

9514 1404 393

Answer:

  (c)  2440

Step-by-step explanation:

The sum of the squares of numbers 1 .. n is ...

  s(n) = n(n +1)(2n +1)/6

You want the sum of squares from 5 to 19. We can compute that from ...

  s(19) -s(4) = (19(20)(39) -4(5)(9))/6 = (14820 -180)/6 = 2440

Answer:

C. 2440

Step-by-step explanation:

hope it helps u too

Need help ASAP!! Giving brainliest!

Answers

A is the correct answer

PLEASE HELP ME WILL GIVE BRAINLIEST

Answers

Answer:

Reason 5

Step-by-step explanation:

Reason 1 and 2 are Given

Reason 3 is Reflexive

Reason 4 is Side-Side-Side congruency

Answer:

Reason 5

Step-by-step explanation:

It helps to know what CPCTC means and how it's used.

CPCTC means "corresponding parts of congruent triangles are congruent."

To use it, you must first either prove two triangles to be congruent or be given that two triangles are congruent.

Once you have the congruent triangles, then you state that two corresponding parts of those triangles are congruent, and you use CPCTC as the reason.

In step 4, the triangles are proven congruent by SSS.

Then CPCTC can be used as reason 5 for stating that the corresponding angles A and C are congruent.

A cosmetics salesman earns a basic wage of $2000 per month plus 10% commission on all sales he makes. Calculate his total wage for the month when he sold $89,000 worth of cosmetics.

Answers

bsbdhhdjdjdhdjjrjdhdndhnrjf

A group of people were asked if they had run a red light in the last year. 315 responded "yes", and 190 responded "no".

Find the probability that if a person is chosen at random, they have run a red light in the last year.



Give your answer as a fraction or decimal accurate to at least 3 decimal places

Answers

Answer:

0.624

Step-by-step explanation:

Number who have run a red light = 315

Number who haven't run a red light = 190

From the data :

The total number of people sampled = total possible outcome = (315 + 190) = 505

Selecting a person at random, probability that the selected person has run a red light :

P = required outcome / Total possible outcomes

Required outcome = Number who have run a red light = 315

P(having run a red light) = 315 / 505 = 0.624

Which is the graph of the function y = 3x?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph that includes the point (1, 3) will be the one that is a graph of ...

  y = 3^x

Darla decides to buy books and magazines with her money. Books cost $16 each and magazines cost $8 each. Write a function that shows the function of the total money that she spends.

Answers

Answer:

m=16x+8y

Step-by-step explanation:

let the amount of money she spend be 'm'

m=16x+8y

Answer:

a=16x+8y

Step-by-step explanation:

Let the amt of money she spends be a.

hope it helps!!!

what is the area of the figure below

Answers

154 +36 = 180

7 tikes 22 = 156
6 times 6 = 36

Answer:

190 in²

Step-by-step explanation:

Cut the shape into simpler ones:

A=6 x 6= 36 in²

A=7x22= 154 in²

A=36 + 154= 190 in²

Suppose you are asked to take a sample of men and women in order to measure their emotional IQ. The emotional IQ scale that you administer has a minimum of 0 and a maximum of 100, with higher scores indicating higher emotional intelligence (the range of the scale is not pertinent to the question -- I simply provide it so that you have some context in which to provide your answer). You sample 25 men and 25 women. The mean for men is 70 with a standard deviation of 10 and the mean for women is 82 with a standard deviation of 15.

Required:
What is the 99% confidence interval for the scores of men and women?

Answers

Answer:

The 99% confidence interval for the scores of men is (64.406,75.594).

The 99% confidence interval for the scores of women is (73.609,90.391).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797.

For men:

Standard deviation of 10.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.797\frac{10}{\sqrt{25}} = 5.594[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 70 - 5.594 = 64.406

The upper end of the interval is the sample mean added to M. So it is 70 + 5.594 = 75.594

The 99% confidence interval for the scores of men is (64.406,75.594).

For women:

Standard deviation of 15.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.797\frac{15}{\sqrt{25}} = 8.391[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 82 - 8.391 = 73.609

The upper end of the interval is the sample mean added to M. So it is 82 + 8.391 = 90.391

The 99% confidence interval for the scores of women is (73.609,90.391).

What translation maps ABC to A'B'C'?

Answers

The answer is D because if u trans it up 4 then C and B won’t be in the right place. So and rotation 90 ccw will do the job.

Environmental researchers have collected rain acidity data for several decades. They want to see if there is any evidence that attempts to reduce industrial pollution have produced a trend toward less acidic rainfall. They should display their data in a(n)... a. Bar graph b. Time plot c. Histogram d. Box plot

Answers

Answer:

Time plot

Step-by-step explanation:

The data from which a plot or graph is to be generated will have only one variable, which is the rain acidity, that is acidity level of Rainfall over a certain period. However, the data gbwre is time dependent, hence, it is a time series plot. Hence, this is a two dimensional univariate plot, with the acidity label of Rainfall on one axis and time on the other. Therefore, the graph which is best to display such information is the time series plot.

Find the difference quotient of f; that is, find f(x+h)-f(x) , h ≠ 0 for the following function

f (x)=6x+8

f(x+h)-f (x)/h =

Answers

See56.7 cause it is the correct one to the 20th

Which of the following fraction pairs are equivalent?

Answers

Answer:

8/12 and 12/18

Step-by-step explanation:

8/12 and 12/18

both equal 2/3

no spam pls
for which x is f(x)=-3
1. -7
2.-4
3. 4
4. 5

Answers

9514 1404 393

Answer:

  (a) -7

Step-by-step explanation:

You are given f(x) = -3. Look for -3 in the f(x) column. (You will find it in the first row.)

You want the corresponding value of x. It will be in the first row of the x column. The value there is -7.

The value of x for f(x) = -3 is -7.

I need help pleaseee

Answers

Answer:

7

Step-by-step explanation:

refer to solution in picture

What is the slope of the line passing through (-3, 5) and (5, -3)?

Answers

Answer:

The line has a slope of -1.

Step-by-step explanation:

To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2 }-y_{1} }{x_{2} -x_{1} }[/tex].

For finding the slope of this line with the points (-3,5) and (5,-3), start by writing down the information given from the question.

[tex]y_{2}=-3[/tex]

[tex]y_{1}= 5[/tex]

[tex]x_{2}=5[/tex]

[tex]x_{1} =-3[/tex]

Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{-3-(5)}{5-(-3)}[/tex]. Then, simplify the equation, which will look like  [tex]\frac{-8}{8}=-1[/tex]. The final answer will be -1.

Which is the graph of the parent function f(x) = x2?

Answers

Answer:

it should look like a U shape. Its called a parabola

(0,0) is the bottom center.

Step-by-step explanation:

What is the standard form polynomial that represents this product?
(-2m3+3m2-m) (4m2+m-5)

Answers

Correct answer on Edmentum

MP of an article is $1400. Find the SP of that article in cents if the shopkeeper adds 13% VAT after allowing 45% discount. (100 cents =$1)​

Answers

Answer:

87,010 cents is the SP.

Step-by-step explanation:

MP = $1400

VAT = 13%

Discount = 45%

so,

discount amount = 45% of MP

= 45% of $1400

= 45/100 * $1400

= 9/20 * $1400

= 9* $70

= $630

so,

MP - discount amount

= $1400 - $630

= $770(SP)

so,

VAT amount = 13% of SP

= 13% of $770

= 13/100 * $770

= $100.1

so,

SP + VAT

= $770 + $100.1

= $870.1

so,

$1 = 100 cents

$870.1 = 100*870.1

= 87,010 cents

Round 51,939 to the nearest thousands

Answers

Answer:

50,000

Step-by-step explanation:

in my opinion I would think this would be the answer because you are rounding to the nearest 10,000

Other Questions
The probable reason for the increase of carbon dioxide is _____.more animalsfewer plantsthe burial of plantsburning fossil fuels 39.63+0.30=24.45+0.80 substance secreted by the liver to emulsify fats Read the passage a river for everyone, then answer two questions below.1. Are there any limits on what you can change? For example, it would not be realistic toremove all of the farms. Is there anything that people cannot compromise on?2. What else would you need to know to come up with a plan of action? Where could youget that information? Help me pls its number 8, will give brainliest but quickly pls Write each number in standard form. A pile of 15 boxes is 3 metres high. What is the depth of each box?5 m0.002 km200 cm200 mmpls help What is the most basic need of a human being? A. Juices B. Wine C. Spirits D. Liquors 2. Which of the following is not belonging to Alcoholic beverages? A. Clothes B. Money C. Security D. Food 3. What type of beverages are the following? Cider, Wines, Liquor and Spirits? A. Non Alcoholic Beverages B. Favourite Beverages C. Alcoholic Beverages D. All way Beverages 4. Which is not belonging to the group of Non Alcoholic beverages? A. Wine B. Water Milk C. Water D. Tea 5. A small restaurant, serving moderately priced simple meals in a modest setting with alcohol. A. Bistro B. Cafeteria C. Vegetarian Restaurant D. Public Houses 6. This is a type of restaurant that offers a variety of vegetarian foods? A. Public Houses B. Cafeteria Vegetarian Restaurant C. Cafeteria D. Bistro 7. Is a self-service restaurant in which customers select various dishes from an open-counter display? A. Cafeteria B. Fast Foods Bistro If G(X) = 3x+1, then G-1(1) is Please help me it's urgent! If anyone can help ! Plz Juanita opens a savings account with $200. Each month, she deposits $25 into her account and does not withdraw any money from it. Write an equation in slope-intercept form of the total amount y in Juanitas account after x months please help,thank you have a good day in which quadrant or axis will the poit lie if... Put these numbers in order from greatest to least.3/10, 0.6 and 0.7 What did the Colonization Law of 1823 do for Stephen Austin?a.It gave him 640 acres of land in Texas.b.It allowed him to buy land in Texas for $1.25 per acre.c.It made him empresario over 100,000 acres of land in Texas.d.It allowed him to overthrow the governor of Texas and take his land. Read the following excerpt from "The Cask of Amontillado" and answer question.THE thousand injuries of Fortunato I had borne as I best could, but when he ventured upon insult I vowedrevenge. You, who so well know the nature of my soul, will not suppose, however, that gave utterance to athreat. At length I would be avenged; this was a point definitely, settled --but the very definitiveness withwhich it was resolved precluded the idea of risk. I must not only punish, but punish with impunity. A wrong isunredressed when retribution overtakes its redresser. It is equally unredressed when the avenger fails tomake himself felt as such to him who has done the wrong.It must be understood that neither by word nor deed had I given Fortunato cause to doubt my good will. Icontinued, as was my in to smile in his face, and he did not perceive that my smile now was at the thought ofhis immolation.In1What type of irony is evident in the excerpt above?2dramatic ironysituational IronyO verbal ironyO none of the above An angle that measures between 90 and 180 is called? Which best explains whether or not ABC = LMN? Determine the values of m and n when the following average magnetic field strength of the Earth is written in scientific notation: 0.0000451 T. Enter m and n, separated by commas. A cube with side lengths of 4 cm has a density of 3 grams/cubic centimeters. The mass of the cube is _____ grams?