How much money would you have if you invested $2500 at 5.75% annual interest, compounded quarterly for 5 years

Answers

Answer 1

Answer:

[tex]A\simeq3325.91[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

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

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2500

[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]

t = 5

n = 4 (quarterly in a year)

Then,

[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]


Related Questions

Karen's garden measures 4.8 feet wide and 19.32 feet long. What is the area of her garden in square feet?​

Answers

Answer:

92.736

Step-by-step explanation:

A = L* W

A = 4.8 * 19.32

A = 92.736

Find the indicated measure. Assume that lines which appear to be diameters are diameters.

Answers

Answer:

The measure of the angle is 120 degrees

Step-by-step explanation:

Here, we want to find the measure of the angle

Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees

We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle

Thus, we have this as;

360 - (150 + 90)

= 360-240

= 120

What is the solution to the following system of equations
5x + 4y = 40 6x + 4y =44

Answers

Answer:

X=4, y=5

Step-by-step explanation:

5x + 4y =40 equation 1

6x + 4y =44 equation 2

-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y

-5x - 4y=-40 modif equation 1

6x + 4y= 44  equation 2

         x=4.     Add above 2 equations

solve for y:

5x + 4y =40

5(4)+4y=40

20+4y =40

4y=20

y=5

check solution ;

6x+4y=44

6(4) + 4(5)=44

24 + 20=44

44=44

enter the coordinates of the point on the unit circle at the given angle 180 degrees

Answers

the coordinates of the point on the unit circle at the given angle 180 degrees is (-1,0)

The coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).

What is a unit circle?

A unit circle is just a circle that has a radius with a length of 1. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.

The given drawing is the graph of the unit circle on the X – Y Coordinate Axis.

It can be seen from the graph, that the unit circle is defined as having a Radius ( r ) = 1.

Going from Quadrant I to Quadrant IV, counter clockwise, the Coordinate points on the axis of the unit circle are:

(1, 0), (0, 1), (-1, 0), and (0, -1)

This is important to remember when we define the X and Y Coordinates around the unit circle. The Unit Circle has 360°. In the given graph, the Unit Circle is divided into 4 Quadrants that split the unit circle into 4 equal pieces. Each piece is exactly 90°.

From the diagram we can clearly say that the coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).

Find out more information about unit circle here

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please help me!!!! i’m so bad a mathhhh

Answers

Answer:

22x^2+21x+10

brainliest?

Step-by-step explanation:

Answer:

The 4the bubble

Step-by-step explanation:

It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?

Answers

Given:

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).

To find:

The y-coordinate of the midpoint of line segment YZ.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:

[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]

[tex]Midpoint=\left(2,-1\right)[/tex]

Therefore, the y-coordinate of the midpoint of line segment YZ is -1.

A ball and a bat cost £90 in total. Three balls and two bats cost £210 in total. How much
does a bat cost?
Submit Answer

Answers

Answer: 60

Step-by-step explanation:

ball =x

bat = y

x + y = 90

and

equation II is

3 x + 2 y =210

By multiplying by 3 to equation I both sides

we get equation III as

3( x + y) = 3 ( 90 )

3x + 3y =270 III

subtract II and III

we get 3x+3y=270

- 3x+2y=210

--------------------------

0+y= 60

y =60

cost of bat is y ie = 60

and cost of ball ,is

let put value of y in equation I

x+60=90

x=90-60

x=30

cost of ball is 30

Find the range of this data set:225, 342, 288,552, 263.


Answers

Answer:

327

Step-by-step explanation:

552-225

A rectangle has a perimeter of 6 feet.
Choose all the possible dimensions of the rectangle.
A. 1 foot by 2 feet
B. 1 foot by 5 feet
C. 2 feet by 1 foot
D. 2 feet by 4 foot
E. 3 feet by 3 feet
F. 4 feet by 2 feet
G. 5 feet by 1 foot

Answers

A and C

Explanation:
Those are the only one that equal to the perimeter 6 feet once you follow this formula:
2 (length + width)

Have a nice day

Option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.

What is a rectangle?

"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".

For the above situation,

The length of the rectangle be 'l'

The breadth of the rectangle be 'b'

Perimeter of the rectangle, P = 2(l+b)

Option A : 1 foot by 2 feet

Here, l = 1 feet and b = 2 feet

⇒ [tex]P=2(l+b)[/tex]

⇒ [tex]P=2(1+2)\\[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.

Option B : 1 foot by 5 feet

Here, l = 1 and b = 5 feet

⇒ [tex]P=2(1+5)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.

Option C :  2 feet by 1 foot

Here, l = 2 and b = 1 feet

[tex]P=2(2+1)[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.

Option D : 2 feet by 4 foot

Here, l = 2 and b = 4 feet

[tex]P=2(2+4)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.

Option E :  3 feet by 3 feet

Here, l = 3 and b = 3 feet

⇒ [tex]P=2(3+3)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.

Option F : 4 feet by 2 feet

Here, l = 4 and b = 2 feet

⇒ [tex]P=2(4+2)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.

Option G : 5 feet by 1 foot

Here, l = 5 and b = 1 feet

⇒ [tex]P=2(5+1)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.

Hence we can conclude that option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.

Learn more about the rectangle here

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Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months? A 3,204 miles B 3,284 miles 3,604 miles D 3.704 miles​

Answers

Answer:

D 3,704

Step-by-step explanation:

Answer:

the answer is 3,704

Step-by-step explanation:

wouldn't you just multiply 483 by so the answer is 3,704

I would really like some help with this. If anyone is able to help me.

Answers

Answer:

are not  

Step-by-step explanation:

it is clear I can explain in the comment section ... because I don not want you to lose time

Stem-and-leaf plots provide a way to graphically compare​ data, unlike histograms.​ However, they are more difficult to construct. B. ​Stem-and-leaf plots can compare quantitative data to qualitative​ data, unlike histograms.​ However, they are not very useful for large data sets. C. ​Stem-and-leaf plots are easier to make and can contain more information than histograms.​ However, they are not very useful for large data sets. D. ​Stem-and-leaf plots are more useful for large data sets and can display more information than histograms.​ However, they are more difficult to construct.

Answers

Question:

Discus the advantages and disadvantages of histograms versus stem-and-leaf plots

Answer:

C. Stem-and-leaf plots are easier to make and and can contain more information than histograms. However, they are not very useful for large data sets

Step-by-step explanation:

A stem and leaf plot is a graphical presentation of quantitative data similar to an histogram. However, a stem and leaf plot retains and present the values of the original in the data set such that individual data values can be seen and can then be used to make analysis

The stem and leaf plot consists of a stem and a leaf  arranged in the order of place value, such that the numbers having a common highest place value are arranged on a row in a stem and leaf plot and therefore a stem and leaf plot is easier to make or construct than an histogram

However, it is very rare to find stem and leaf plots having more than 50 datasets or observations.


How much change would you get from
£10 if you spent £1.43 and £1.115

Answers

Answer:

£7.455

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

You would have 7.42

Please help asap first correct answer will get the brainly crown

25x-22.5=12x+22.5+2x

Answers

25x-22.5=14x+22.5
11x=45
x=45/11 or ~4.09

Millie has an interview for a job. She is driving to the interview. There are 3 sets of traffic lights on her route. There is a fifty/fifty chance of the lights being red or green.


What are the chances of Millie getting 3 consecutive green lights?

Answers

Answer: 0.125

Step-by-step explanation:

Since there is a fifty/fifty chance of the lights being red or green, therefore, the chances of Millie getting 3 consecutive green lights will be:

= (50%)³

= 0.5³

= 0.5 × 0.5 × 0.5

= 0.125

Therefore, the probability is 0.125

Solve the system of equations below by graphing them with a pencil and
paper. Enter your answer as an ordered pair.
y=-x+1
y=-2x+ 5

Answers

The first one is

X-intercept: (1,0)
Y intercept: (0,1)

The second one is

X intercept: (5/2,0)
Y intercept: (0,5)

Explanation;

To find the x-intercept, substitute in 0 for Y and solve for X. To find the y-intercept, substitute 0 for X and solve for Y.

Hope this helps :)

HIII can some one please HELP ME !!!!

Answers

Answer:95

Step-by-step explanation:

Evaluate.
n ÷ 3 + 3 x 7 for n = 12

A. 4/21
B. 9 1/3
C. 25
D. 49​

Answers

C.25 is the answer 12/3+3x7 12/3=4 3x7=21. 21+4=25

Which inequality has the solution shown?

Answers

the answer should be d

PLEASE HELP!!!!!!!!!!!

Answers

Its the red one bc its between 1 and 12

The average marks of 10 students is 41. If the average marks of the top 6 and bottom 5 rankers are 45 and 36 respectively, how much did the
5th ranker score?

a. 41
b. 42
c. 43
d. 40
no spam please​

Answers

Answer b. The student scored 42. Because the middle ground between 45 and 36 is 40,5. 42 will bring the grade up by 0,5

Solve for q.

3/5 = q/10

q=?

Answers

Simply the equation by using cross-multiplication, you get 30=5q
Then you swap sides of the equation, you get 5q=30
Then you divide both sides of the equation by 5
Your answer is q=6

7x7x7 x 7 7 can be simplified to:
A 57
B 75
C 7x5
D 75
E 77 777​

Answers

well first of you start off by multiplying 7x7x7 which is 343 and then you multiple 343x77 which is 2,401. That’s your answer overall! Now to simplify: it can’t be E. It can’t be A. And it can’t be C. So that leaves us with B and D. And both B and D are the same exact answer so guessing i would say !

Hope that helps have a good day and please consider brainliest!!

Answer:

77777

is correct answers

an integer less than its opposite is
A. less than zero
B. zero
C. between zero and one
D. greater than one

Answers

Answer:

I think it's A

Step-by-step explanation:

Sorry if I'm wrong

Help =10 point plus Brinsley thing fast

Answers

Answer:

20x + 5

all you really need to do is multiply the 4x and the 5. you just leave the + 5 alone

PLEASE HELP


I am quite confused

Answers

Im guessing it’s letter B
I actually believe it’s A because you have the smaller number in front for both equations

Solve for the missing side. Round to the nearest tenth.
HELP MEEE PLS ):

Answers

Answer:

b² =  13.2

Step-by-step explanation:

5.8²+b²=14.4²

33.64+b²=207.36

-33.64       -33.65

b²= √173.71

b² = 13.1799089526

b² =  13.2

A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladder against the building. What is the angle of elevation for the rescue ladder?

Answers

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

We can use ratio sine here. Let the angle of elevation be theta.

In ∆ ABC :-

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

Hence the angle of elevation is sin -¹ ( 10/11).

Solve for x! Please try and show work. ANSWER ASAP SCAM ANSWERS WILL BE REPORTED. Also will award brainliest to CORRECT answer

Answers

Answer:

x = 12 degrees

Step-by-step explanation:

m < LNM = (70+136)/2

= 206 / 2

= 103 degrees

So 7x + 19 = 103

7x = 103 - 19 = 84

x = 84/7

x = 12.

A cow is tethered with a rope 20 m long. What is the maximum area the cow can graze? with a decimal

Answers

1256.64

The rope is the radius and you just use the area of circle
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