The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.

Principle $ 20,000 Rate 5.5% Compounded Daily Time 16 years

Required:
a. Find how much money there will be in the account after the given number of years.​ (Assume 360 days in a​ year.)
b. Find the interest earned.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Principal = $20000

Interest rate = 5.5% = 0.055 compounded daily

Time = 16years =(360 * 16) = 5760

n = number of times interest is applied per period

Amount of money in account after 16 years :

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

A = total amount

A = 20000(1 + 0.055/360)^(360*16)

A = 20000(1 + 0.0001527)^5760

A = 20000(1.0001527)^5760

A = 48193.1611

Interest on principal :

$48193.1611 - $20000

= $28193.1611


Related Questions

Patrick wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 125 parents whether or not they use cloth diapers. What is the statistic?

Answers

Answer:  The percentage of parents who use cloth diapers in the sample is the statistic.

Step-by-step explanation:

A statistic is the measure of a particular characteristic in the sample which is nothing but a subset of population.

Here, the concern is to estimate the percentage of parents who use cloth diapers.

He took a sample of 125 parents to enquiry whether or not they use cloth diapers.

So, the percentage of parents who use cloth diapers 9in the sampl is the statistic.

Answer: The percentage of parents who use cloth diapers in the sample is the statistic.

The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys

Answers

Answer:

120, if I did it right

Step-by-step explanation:

In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.


6th grade math I mark as brainliest

Answers

Answer:

D: A rhombus is always a parallelogram

Step-by-step explanation:

A rhombus is a quadrilateral, and it is also a parallelogram. However, a parallelogram is not always a rhombus.

Answer:

A rhombus is always a parallelogram

Step-by-step explanation:

it's lines parallel to the other side

Pleas help I am brainliesting and show the steps

Answers

Answer:

2 and 1/3 ---->>> 2 1/3

Step-by-step explanation:

At 4, its 4 cm

Within 3 hours it has gained 7 cm

7/3=2.33333

2 1/3 would be the mixed number

can i get brainliest please?

The LCM of two numbers in 2310 and their HCF.
is 30 . If one number is 210, find the other number.​

Answers

Answer:

The other number is 330

Step-by-step explanation:

The computation of the other number is shown below:

As we know that

HCF × LCM = Product of Two Numbers

So,

30 × 2310 = 210 × other number

Now

The other number is

= (30 ×  2310) ÷ 210

= 330

hence, the other number is 330 and the same is to be considered

We simply applied the above formula so that the correct answer could come

Answer:

why

Step-by-step explanation:

Kari is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an inequality to find the possible width of her garden bed.

Answers

Answer:

ahe using 12 feet of boards and threre 8 ft of board left so i guess the with will be 4.

Step-by-step explanation:

6+6 =12 for the lenghth

4+4=8= for the with

How do I write Domain and Range in inequality notation?

Answers

Answer:

Step-by-step explanation:To combine two intervals using inequality notation or set-builder notation, we use the word “or.” As we saw in earlier examples, we use the union symbol, \displaystyle \cup∪, to combine two unconnected intervals. For example, the union of the sets \displaystyle \left\{2,3,5\right\}{2,3,5} and \displaystyle \left\{4,6\right\}{4,6} is the set \displaystyle \left\{2,3,4,5,6\right\}{2,3,4,5,6}. It is the set of all elements that belong to one or the other (or both) of the original two sets. For sets with a finite number of elements like these, the elements do not have to be listed in ascending order of numerical value. If the original two sets have some elements in common, those elements should be listed only once in the union set. For sets of real numbers on intervals, another example of a union is

Read 3 integer numbers from the user; these numbers represent the lengths of 3 straight lines. From the 3 lengths, determine whether a triangle can be formed with the corresponding lines. If it is possible to form a triangle, determine whether the triangle is a right triangle or not. The rules to be used are: 1. To form a triangle where all lines’ ends meet (form vertices), the sum of the lengths of two sides must be greater than the length of the third side. This short video illustrates this concept: How to determine if the three sides make up a triangle. 2. Per the Pythagorean theorem: in a straight triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. 3. The user can enter the lengths of each line in any order, i.e.: you may not assume that the first length is the longest or the smallest or the middle value.

Answers

Answer:

Written in Python

print("Enter three sides of a triangle: ")

length = []

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

length.sort()

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

    print("Triangle")

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

else:

    print("Not Triangle")

Step-by-step explanation:

This line prompts user for sides of triangle

print("Enter three sides of a triangle: ")

This line declares an empty list

length = []

The following iteration gets user input

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

This line sorts user input

length.sort()

The following if condition checks if user input is triangle

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

The following is executed is the if condition is true

    print("Triangle")

The following if condition checks if user input forms a right angled triangle

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

This is executed if user input is not a triangle

else:

    print("Not Triangle")

Which ordered pair is a solution of the equation y = –54x – 2?

A. (−8, 8)
B. (8, −8)
C. (−8, −12)
D. (1, −154)

Answers

Answer:

A

Step-by-step explanation:

(-8,8) is the solution of the equation y=-5/4x-2.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y=-5/4x-2,

To find solution for the given equation, solve with the help of options,

(A) (-8,8)

8=-5/4(-8)-2

8 = 10-2

8 = 8

(-8,8) is the solution of the equation

(B) (8,-8)

-8=-5/4(8)-2

-8 = -10-2

-8 = -12

(8,-8) can not be the solution of the equation.

(C) (-8,-12)

-12 = -5/4(-8)-2

-12 = 8

(-8,-12) can not be the solution of the equation.

(D) (1, −15/4)

-15/4 = -5/4(1)-2

-15/4 = -13/4

(1,--15/4) can not be the solution of the equation.

(-8,8) is the solution of the equation.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2

find the value of x.
I Need to show the equations please, and show my work

Answers

Answer:

15

Step-by-step explanation:

since both equations are set with a right angle, the equation must be equal to 90 degrees. So you set the equation as

13+x+4x+2=90

add the x variables together and the constants separately

15+5x=90

then subtract 15 from both sides.

15+5x=90

-15      -15

5x=75

then divide 5 from both sides.

75/5= 15

so x is 15 :).

Answer:

It shows a 90° angle split into 2 separate angles so,

[tex]13 + x + 4x + 2 = 90\\\\5x + 15 = 90\\\\5x = 75\\\\x = 15[/tex]

Basically, the total angle measure of the given angles [90°, (13 + x)°, and (4x + 2°) equals 180°. Take away 90 from 180 and you get 90, then solve for x using what's left: 13 + x + 4x + 2 = 90. You get x = 15.

What is the value of sin-1(1)?

Answers

The value of sin^(-1) 1 is; π/2

We want to find the value of sin^(-1) 1

Now, when using trigonometric functions, we know that; If sin θ = x Then; θ = sin^(-1) x

Now, we want to find the angle.

We know that in radians the value of θ at which sin θ = 1 is; π/2 radians

Thus; sin^(-1) 1 = π/2

Read more about trigonometric angles at; https://brainly.com/question/22591162

Interest earned on 5000 with a rate of 6.4% for 4 years

Answers

Answer:

1280

Step-by-step explanation:

I = p x r x t

I = 5000 x 6.4/ 100 x 4

I = 5000 x 0.064 x 4

I =1280

An analysis of several polls suggests that 60% of all Florida voters plan to vote for Anderson. A poll of 250 randomly selected Florida voters shows that 144 plan to vote for Anderson.

Required:
a. What is the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct?
b. Does your result from part I indicate that the number of voters who plan to vote for Anderson has decreased? In other words, is this outcome unusual?

Answers

Complete Question

An analysis of several polls suggests that 60% of all Florida voters plan to vote for Anderson. A poll of 250 randomly selected Florida voters shows that 144 plan to vote for Anderson.

Required:

a. What is the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct?

b. Does your result from part I indicate that the number of voters who plan to vote for Anderson has decreased? In other words, is this outcome unusual?(Recall that an unusual  event has a probability of 0.05 or less of occurring )

Answer:

a

[tex]P(p  <  \^p) =   0.2206[/tex]

b

It is not an unusual event

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.60

   The sample size is  n =  250

    The number that plans to vote for Anderson is  k =  144

Generally the mean of the sampling distribution is  

        [tex]\mu _{x} =  p =  0.60[/tex]

Generally the standard deviation is  

      [tex]\sigma  =  \sqrt{ \frac{p(1 - p )}{n} }[/tex]

=>    [tex]\sigma  =  \sqrt{ \frac{0.60(1 - 0.60 )}{250} }[/tex]

=>    [tex]\sigma  =   0.0310[/tex]

Generally the sample proportion is mathematically represented as  

         [tex]\^{p} =  \frac{k}{n}[/tex]

=>       [tex]\^{p} =  \frac{144}{250}[/tex]

=>     [tex]\^{p} = 0.576 [/tex]

Gnerally the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct is mathematically represented as

  [tex]P(p  <  \^p) =  P(\frac{ p - \mu_{x}}{ \sigma }  <  \frac{ \^ p - \mu_{x}}{ \sigma } )[/tex]

=>     [tex]P(p  <  \^p) =  P(Z <  \frac{ 0.576 - 0,60}{ 0.0310} )[/tex]

=>      [tex]P(p  <  \^p) =  P(Z <  -0.77 )[/tex]

From the z-table  the probability of (Z <  -0.77)  is  

     [tex]P(Z <  -0.77 )  =  0.2206[/tex]

So

    [tex]P(p  <  \^p) =   0.2206[/tex]

Since

  [tex]0.2206 > 0.05[/tex] it implies that it is not an unusual  event

The temperature of air samples take. simultaneously over a large city are shown below. 22.5, 23.8, 20.2, 22.4, 23.1, 24.7, 23.7, 21.7, 21.1 Determine whether the data are qualitative or quantitative and identify the data set’s level of measurement.

Answers

Answer:

The given data is quantitative.

These are interval level of measurement.

Step-by-step explanation:

Data : 22.5, 23.8, 20.2, 22.4, 23.1, 24.7, 23.7, 21.7, 21.1

Qualitative data : It is descriptive information about characteristics that are difficult to define or measure or cannot be expressed numerically.

Quantitative data : It is numerical information that can be measured or counted.

So, The given data is numeric

So, the given data is quantitative.

These are interval level of measurement.

Interval : It is as follows-Interval scales are numeric scales in which we know not only the order, but also the exact differences between the values

there are 5,280 feet in 1 mile if Riley ran 26,400 feet how many miles did she run ​

Answers

the correct answer is Riley ran 5 miles .

What is the most efficient first step to isolate the variable term on one side of this equation?
-9x = -4x + 5

Answers

Answer:

add 4x to both sides

Step-by-step explanation:

because -9x is the only thing on the left you want to move all the x's to the left

x=-1 is the answer.....

Please need help thank you

Answers

Answer:

31825 is your answer. Hope that helps.

Answer:

Lydia´s address is 8 Cypress street.

Step-by-step explanation:

5 digit.

6 less than 7.

3 and 1 are the product.

Simplify them.

6 - 7 + 3 + 1 = 5

Simplify.

6 - 7 = -1.

Then Simplify.

-1 + 3 = 2.

Simplify.

2 + 1 = 3.

3 + 5 = 8.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

I don't know how to solve these. please help. show work please.​

Answers

Answer:

11. B 12. C 13. B

Step-by-step explanation:

11. Since segment MR bisects segment QO, side QP and side PO are equal. In the problem it states that angle MQP is congruent to angle ROP. The the angles QPM and OPR are vertical, so they are equal. That is enough evidence to conclude the answer.

12. ADC is bisected by BD, so that bisects AC too, which makes both sides equal. BD is perpendicular to AC, making right angles on both sides. The curves at angle A and angle C show that they are congruent. That should be enough evidence to show that it is congruent by ASA.

13. Triangle cannot be congruent by having the same angles, only similar since the lengths can be different. Congruent triangle means that the sides and angles are the same.

Good luck...hope this helped ;)

BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?

Answers

Answer:

24 cups of sliced apples

Step-by-step explanation:

6 multiplied by 4=24

hope this helps

A river with large, smooth rocks on the bottom, small and medium sized sediment is moving downstream. Which conditions resulted in the erosion of larger rocks, like the one circled in the image? Check all that apply. low gradient, low velocity low gradient, high velocity low gradient, high volume high gradient, low velocity high gradient, high velocity

Answers

Answer:

low gradient, high volume

high gradient, low velocity

high gradient, high velocity

Step-by-step explanation:

Answer:

low gradient, high volumehigh gradient, low velocityhigh gradient, high velocity

Step-by-step explanation:


y< 4x – 1
y>-8x + 5

Answers

Answer:

m=4

m: 8

Step-by-step explanation:

The area of the base of an 8-inch-tall cylinder is 36 inches2. What is the volume of this cylinder?

*Please make sure you show how you got the answer

Answers

Answer:

288 cubic imches

Step-by-step explanation:

[tex]V_{cylinder} = Area \: of \: base \times height \\ \\ V_{cylinder} = 36 \times 8 \\ \\ V_{cylinder} = 288 \: {inches}^{3} [/tex]

What is the equation of the line that is parallel to the line represented in the table and goes through the point (-10, -2)?

Answers

Answer:

y = -3/2x - 17

Step-by-step explanation:

First you need to find the slope, since the lines are parallel the slopes would be the same as points of the other line on the table. When finding the slope you get -3/2, when you have the slope you need to find the y-intercept or in other words in y=mx+b, the "b" in the equation. In order to find the y-intercept you have to plug in the values of the point (-10,-2) so then the equation would look like -2 = -3/2(-10) + b. Then you would solve for b. Then when you put the components together you get y = -3/2x - 17.

For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.

1) m 2) m 3) m 4) m 5) m 6) m 7) Segment AB = ___ units
8) Segment BC = ___ units
9) Segment AC = ___ units
10) Segment XY = ___ units
11) Segment YZ = ___ units
12) Segment XZ = ___ units

Answers

Answer:

Step-by-step explanation:

Since ΔABC ≅ ΔXYZ,

By the property that says that "corresponding parts of the congruent triangles are congruent"

Corresponding angles (Including right angle) will be equal.

m∠A = m∠X = 180° - (90° + 37°) = 53°

m∠B = m∠Y = 90°

m∠C = m∠Z = 37°

Corresponding sides of the triangles will be equal.

AB ≅ XY = 3 units

BC ≅ YZ = 4 units

AC ≅ XZ = 5 units

The integrity of financial statement presentations and disclosures is enhanced when
a) The financial statements are audited by a CPA.
b) The financial statements are prepared in an environment that includes a strong system of internal control.
c) The financial statement preparers have the appropriate education and experience necessary.
d) All of the above.

Answers

Answer:

All of the above

Step-by-step explanation:

In this question, we want to select which of the options can enhance the integrity of financial statements preparations and disclosure.

The correct answer is the last option which is all of the above

The last option is correct because each of the individual options above it will enhance the integrity.

A financial statement with integrity is one which is audited by the CPA, prepared in an environment with strict interval control and overall the people who are in charge of preparing it are experienced people

Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams.

Answers

Answer:

28 in grams=793.787 and 28 in kilo =0.793787

Step-by-step explanation:

pLeAse hurry i must finish right now
look at screenshot
please answer all of #2

Answers

Answer:

Sorry can't do this

Step-by-step explanation:

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhh 4

Step-by-step explanation:

From the sum of 3x +4y -3xy and 5x +3y -2xy subtract the sum of 2x +y – 3xy and 10x -9y -8xy.

Answers

Answer:

-4x + 16y + 3xy

Step-by-step explanation:

The sum of 3x + 4y - 3xy and 5x + 3y - 2xy is 8x + 7y - 5xy.

The sum of 2x + y - 3xy and 10x - 9y - 8xy is 12x - 8y - 11xy.

Subtract the sum of the second pair from the first pair by changing the sign of the subtrahend. The result is -4x + 16y + 3xy

In the diagram below, the radii of the two concentric circles are 3 centimeters and 7 centimeters, respectively.
What is the area of the shaded region?

Answers

Answer:

125.6 cm²

Step-by-step explanation:

Area of the shaded region = area of larger circle - area of the smaller circle

Area of the smaller circle = πr²

π = 3.14, r = 3 cm

Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²

Area of larger circle = πr²

π = 3.14, r = 7

Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²

Area of the shaded region = 153.86 - 28.26 = 125.6 cm²

24⋅((3⋅2)−1)



14

4

24

144

Answers

Answer:

the answer is 24 im sure of it

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