Suppose 2500 dollars is invested at 4% for 5 years. Find the account balance if it is
compounded daily, monthly, quarterly?
answer step by step

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; r = rate ; n = number of compounding times per period ; t = period ; P = principal

P = 2500 ; r = 4% = 0.04 ; t = 5 years

Daily compounding, n = 365

Yearly compounding, n = 1

Quarterly compounding, n = 4

Daily compounding :

A = 2500(1 + 0.04/365)^(5*365)

A = 2500(1.0001095)^1825

A = $3053.4734

Yearly :

A = 2500(1 + 0.04/1)^(5*1)

A = 2500(1.04)^5

A = $3041.6323

Quarterly:

A = 2500(1 + 0.04/4)^(5*4)

A = 2500(1.01)^20

A = $3050.4751


Related Questions

i need help asap i will give brianlist

Answers

Answer:

the answer to this is a negative association.

the answer to this is what the other person said

1. Draw what might be the next three figures
in this pattern?

Answers

the down arrow i promise

3 arrows pointing up

because its like 123454321

answer please I’m dying from math

Answers

Step-by-step explanation:

It's C

I hope it helped:)


What is the perimeter of an isosceles triangle with one side that
measures 5 ft. and two sides that measure 11 ft. each?

Answers

The perimeter is 27, to
find the perimeter you just add all sides nothing too special hope this helped!

The normal distributions for three different SAT examinations is displayed above what can you conclude about the standard deviations of the three exams?

Answers

Comparing the standard deviations of each distribution, you have blue < red < yellow.

For any normally distributed random variable X with mean µ and standard deviation σ, we have the property that

Pr[|X - µ| ≤ σ] ≈ 68%

In other words, roughly 68% of a normal distribution lies within 1 standard deviation of the mean. This means the plot of the density of a distribution with a smaller standard deviation forms a tighter peak (like the blue curve), whereas a larger standard deviation would be indicated by a more dispersed, flattened curve (like the yellow one).

Lorraine was in a hurry when she computed a confidence interval for µ. Because σ was not known, she used a Student's t distribution. However, she accidentally used degrees of freedom n instead of n − 1. Will her confidence interval be longer or shorter than one found using the correct degrees of freedom n − 1? Explain.

Answers

Answer:

The confidence interval will be shorter

Step-by-step explanation:

Required

How will the confidence interval be affected when n is used instead of n - 1

As sample size n increases, the confidence interval also increases by 1;

i.e.

[tex]df = n- 1[/tex]

However, the confidence interval gets reduced.

This implies that, the higher the degrees of freedom; the shorter the confidence interval.

Shorter. As the degrees of freedom increase, the value for tc decreases.

What is the length of EF in the right triangle below?

Answers

Step-by-step explanation:

put sides into Pythagorean theorem

do algebra

find solution

A used book store also started selling used CDs and videos. In the first week, the store sold a combination of 40 CDs and videos. They charged $4 per CD and $6 per video and the total sales were $184. Determine the total number of CDs and videos sold.​

Answers

Answer:

28 CD and 12 Video

Step-by-step explanation:

6 (x) + 4 (y) = 184

6 (28) + 4 (12) =184

168 + 48 = 184

The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number of Goals Probability 0 .05 1 .15 2 .35 3 .30 4 .15 What is the probability that in a given game the Lions will score less than 3 goals? a. .45 b. .85 c. .80 d. .55

Answers

Answer: d. 0.55

Step-by-step explanation:

The given probability distribution:

Number of Goals     0            1            2          3           4

Probability             .05           .15        .35       .30           .15

The probability that in a given game the Lions will score less than 3 goals

= probability that in a given game the Lions will score less than or equal to 2

= 0.5+0.15+0.35

= 0.55

Hence, the correct option is d. 0.55

11. Jeff is taking his family and friends to the movies. Adult tickets, a, are $8 and child
tickets, c, are $5. He bought 11 total tickets for $64. Write the system of equations
necessary to compute how many adults and students were in the group.

Answers

Answer:

there are 3 adults and 8 children

Step-by-step explanation:

8*3 (3=Adults)=$24

5*8 (8 children)=$40

24+40=$64

X + 9y = 38 3x + 7 = 14​

Answers

Answer:

x = -7,   y = 5

Step-by-step explanation:

a) x + 9y = 38,   b) 3x + 7y = 14

From a)

x = 38 - 9y ---- (Equation 1)

From b)

{3*(38 - 9y)} + 7y = 14 ----- (From equation 1)

114 - 27y + 7y -14 = 0

100 - 20y = 0

20y = 100

y = 5

From a)

x + (9*5) = 38  (substituting the value of y = 5)

x + 45 = 38

x = 38 - 45

x = -7

Hope, this will help

a triangular prism where the area of each base is about 20 square inches, the length of each side of the base is 6 inches, and the height of the prism is 2 inches

Answers

Answer:

94 square inches I don't have an explanation

How does a tree have self similarity?

Answers

Well trees are living things like humans they are very helpful like people they have arms like people and the leaves are kinda like hair

Can someone please help me with this?? I will like your comment!

Answers

Answer:

[tex]A_{\Delta ABP}=\sin \theta[/tex]

Step-by-step explanation:

Let the center of the circle be O.

Recall that the area of a triangle can be given by:

[tex]\displaystyle A=\frac{1}{2} ab\sin C[/tex]

Where C is the angle between the two sides.

ΔABP is equal to the sum of ΔAPO and ΔBOP.

Let a = OP and b = OB. Since this is the unit circle and PO and BO are radii, they both equal one. C will be θ. Hence, the area of ΔBOP is:

[tex]\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta[/tex]

For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)[/tex]

However, note that sin(π - θ) = sin(θ). Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)[/tex]

Hence, the area of ΔABP is:

[tex]\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta[/tex]

Plzzzzzz I need in nowwwwwwwwwwww

Answers

Answer:     -5

Step-by-step explanation:

Answer:

b = -5

Step-by-step explanation:

therefore -5 is the answer

Help !!!!!!!!!!!!!!!

Answers

Answer: y=55  x=6

Step-by-step explanation: Because of the two equivalent lines in lines DE and FE we know that the angles D and F must be equal, therefore y is 55. And now we know that angles D and F add up to 110 and because all of the angles in a triangle add up to 180, angle E must equal 70.

Angle E-        (11x+4)=70

                            -4   -4

                       11x=66

                         divide both sides by 11

                            x=6

I think he is right

write the equation in slope intercept form for the line that passes through the point (1,2) and has a slope of -5

Answers

Answer:

y = -5 × 1 + 2

Step-by-step explanation:

y = y, m = slope, x = x point given (1), b = y point given, unless a zero (2)Formula - y = mx + bPlug it iny = -5 × 1 + 2

Find the area of a rectangle.
The perimeter is 92 meters
and the length is 6 more than
4 times the width.

Answers

Think 118 is the answe

Answer:

507.84

Step-by-step explanation:

ratio 6:4

to use this ratio divide 92 by 2 --> 46

then 6+4 = 10, so 46/10 = 4.6

4.6 x 6 = 27.6

4.6 x 4 = 18.4

27.6 x 18.4 = 507.84

i think anyway

Which product is greater than 3/4?

Answers

Answer:

4/4

Step-by-step explanation:

5/4 and so on with other numer that is higher than 3/4 lol

What are the slope and y-intercept of the line represented by the points shown in the table?



Slope:2, y-intercept:-20
Slope:2, y-intercept:10
Slope:5, y-intercept:-20
Slope:5, y-intercept:10


Answers

It is A) Slope: 2, y-intercept: -20

Which are solution of
[tex] \frac{x}{5} = \frac{1}{x + 4} [/tex]

Answers

X= 1, -5

I’m sorry if it’s not what you’re looking for

Have a good day:)

Answer:

x = 1, x = -5

[tex]x/5 = 1/x+4\\Apply Fraction and Multiply : \\\\x(x+4)=5 x 1\\Simplify :\\x(x+4) = 5\\Solve.[/tex]

I hope this is what you were looking for !

find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pie=3.14 in any formulas used

Answers

Square part of perimeter = 40.

Half circle = 25.135.

Together 65.135 is perimeter.

Area of square: 192

Are of half circle: 100.53.

Together 292.53

Rounded =292.48 I guess, its the most logical option since I don't see it and the only one that fits perimeter answer.

So its the 3rd question I believe, you may want to double check.

Hit the heart if it was helpful.

The perimeter and total area of the composite shape are; 292.53 and 65.135 .

What is the area of a square?

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

The Square part of perimeter = 40.

Half circle = 25.135.

The perimeter = 40 + 25.135 = 65.135 is perimeter.

The Area of square = 192

Are of half circle: 100.53.

Together 292.53

Rounded =292.48

Therefore, the perimeter and total area of the composite shape are; 292.53 and 65.135 .

Learn more about the area here;

https://brainly.com/question/1658516

#SPJ2

Which expression is equivalent to the expression -3(4x - 2) - 2x ?

Answers

Answer:

-14x + 6

Step-by-step explanation:

-3(4x - 2) - 2x

-12x + 6 - 2x

-14x + 6

How much? I say 80 what do you think?

Answers

Answer:

Yes, I agree

It is $80

(15) Find the value of x. *

Answers

Answer:

Step-by-step explanation:

x+35=2x(opposite angles of a parallelogram are equal)

35=2x-x

35=x

a) 2(x+3)=x-4
Could anyone help?​

Answers

If solving for x you will first need to combine like terms. Then after getting the amount of numbers and amount of x numbers you will divide the x number from both. After doing that you would get X=-10

A painter leans a 12-foot ladder against a wall. The angle of elevation of the ladder is 55.

Answers

Answer:

9.83cm

Step-by-step explanation:

Since we are not asked what to look for. We can find the height of the wall.

Let the height of the wall be H

Given

Length of the ladder l = 12fot

Angle of elevation = 55degrees

Required

Height of wall H

Using the SOH CAH TOA identity

SIn theta = opp/hyp

Sin 55 = H/12

H - 12sin55

H = 12(0.8192)

H = 9.83cm

Hence the height of the ladder is 9.83cm

_DEF and _FEG are supplementary, m_DEF=(3x+5)*, and m_FEG=(2x)". What is the measure of DEF?

Answers

Answer:

110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

    = 3*35 +5

   = 105+5

  = 110

The base of the regular triangular pyramid has sides that are 14 cm with a height of 12.1 cm. The slant height of the pyramid is 12.1 cm. What is the surface area of the pyramid?

Answers

Answer:ni

Step-by-step explanation:

help me and I’ll give you brainliest

Answers

So this is complicated, but to get a general idea simple we use common sense and say its bigger than 4, since its length is bigger than the supposed 4 length. So then we get  the options 6, 5, and 24. Now we can do some basic math and figure that the circle radius is around 4 so its probably 6 or 5. Slim change of 24.

People who did the physical math can check it with my answer.

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