Using the calculator below, substitute the values to calculate the interest amount on a the loan using the compound interest formula. Principal: $4,000 time: 10 years rate: 7% number of compounding periods: 4 What is the amount of the compound interest? (interest only)

a. 2,800
b. 4,757
c. 4,006
d. 59,897​

Answers

Answer 1
answer : c) 4,006




A = $8,006.39
A = P + I where
P (principal) = $4,000.00
I (interest) = $4,006.39

explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 7/100
r = 0.07 rate per year,

Then solve the equation for A
A = P(1 + r/n)nt
A = 4,000.00(1 + 0.07/4)(4)(10)
A = 4,000.00(1 + 0.0175)(40)
A = $8,006.39

Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $4,000.00 at a rate of 7% per year compounded 4 times per year over 10 years is $8,006.39.

Related Questions

A bag of fertilizer covers 3000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 290 feet by 170 feet. To cover the lawn bags of fertilizer are required​

Answers

Answer:  The correct answer is 17 bags of fertilizer to cover the lawn

Step-by-step explanation:

1 bag of fertilizer covers 3000 SF of lawn

How many bags are needed for an area of 290 feet x 170 feet

Calculate the Square Feet:

290 x 170 = 49,300 SF

Divide space (SF) by bag coverage (SF):

49,300 / 3,000 = 16.43 bags of fertilizer

Round up answer to 17 bags of fertilizer

Hank rents 9 cases of plates.He has 250 guests attending the banquet. There are 30 plates in each case. Did Hank rent enough plates? Explain

Answers

Answer:

yup

Step-by-step explanation:

so to find the amount of plates he has we :

30*9 = 270

How many guests :

250

Hank has 20 extra plates,

hope this helps :)


Examine the worked examples. Then, answer the questions.
Alessa's car uses 2 gallons of gas to drive 45 miles.How many miles can
Alessa's car drive using 15 gallons of

Answers

Answer:

Alessa's car would be able to drive 337.5 miles with 15 gallons of gas.

Pixel A is located 80 km from the Jacksonville radar. How many seconds did it take for the radar pulse to travel to the target at Pixel A and return to the radar? (It will be a very small answer!)
C= 3 × 10^8 m s−1
R= 80,000
R= CT/2

Answers

[tex]C=3\times 10^8~\frac{m}{s}\hspace{5em}R=80000\implies R=8\times 10^4 \\\\[-0.35em] ~\dotfill\\\\ R=\cfrac{CT}{2}\implies 2R=CT\implies \cfrac{2R}{C}=T\implies \cfrac{2(8\times 10^4)}{3\times 10^8}=T \\\\\\ \cfrac{16\times 10^4}{3\times 10^8}=T \implies \cfrac{16}{3}\times\cfrac{10^4}{10^8}=T\implies \cfrac{16}{3}\times\cfrac{1}{10^8\cdot 10^{-4}}=T \\\\\\ \cfrac{16}{3}\times\cfrac{1}{10^{8-4}}=T \implies \cfrac{16}{3\times 10^4}=T\implies \cfrac{16}{30000}=T\implies \cfrac{1}{1875}=T[/tex]

Tina has 5345 beads . She has 3687 fewer beads than her sister . How many beads does her sister have ?​

Answers

Answer:

Her sister has 9032 beads

Step-by-step explanation:

All you have to do is Tina's beads plus the extra number of beads that her sister has

5345 + 3687 = 9032

manuel wishes to purchase 25cent and 30 cent stamps. he decides to buy 10 fewer 30 cent stamps. How many of each can he buy for no more than $19.00

Answers

Using the simplification, Manuel buy 15 stamps of 25 cents and 5 stamps of 30 cent.

In the given question,

Manuel wishes to purchase 25 cent and 30 cent stamps.

He decides to buy 10 fewer 30 cent stamps.

We have to find how many of each can he buy for no more than $19.00.

Let he buy x stamps of 25 cent.

He want to buy 10 fewer 30 cent stamps.

So he buy x−10 stamps of 30 cent.

But he have to buy total stamps of $19.

So the equation is

x+x−10 = 19

Simplifying

2x−10=19

Add 10 on both side

2x−10+10=19+10

2x=29

Divide by 2 on both side

2/2 x =29/2

x=14.5

x≈15

Hence, he buy 15 stamps of 25 cent.

Now finding the number of 30 cent.

he buy x−10 stamps of 30 cent.

So 15−10=5.

So he buy 5 stamps of 30 cent.

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Amount Desired at End of Period

$17,600.00

Length of Time

7

1. Period Used

2. Rate Used

23. PV factor used

3 4. PV of amount desired at end of period

Rate

2%

Compounded

Quarterly

Required:

Complete the following using the information above and the present value Table 12.3

or the present value table in the Business Math Handbook or the present value

formula to answer the following:

Note: Use cells A2 to D3 from the given information to complete this question.

Answers

A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%" and PV factor used is 0.62026 .

Hence,

The amount desired at end of a period is $9400.

The length of time is 4 years .

The rate is 2%.

Compounded is monthly.

The period used is 48.

The rate used is 1%.

The PV factor used is 0.62026 .

The PV of the amount desired at the end of the period is $5830.45

What is the percentage?

A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%".

Here from the question,

PV factor = (1 + i) ----(1)

where, i = 12/12 % , i =1

and

n = 4(12)

n = 48

Substituting the values in the equation , we get

PV factor = (1 + 0.01)^ -48

PV factor = 0.62026

Hence,

the amount desired at end of a period is $9400.

The length of time is 4 years.

The rate is %.

Compounded is monthly.

The period used is 48 .

The rate used is 1%.

The PV factor used is 0.62026.

The PV of the amount desired at the end of the period is $5830.45

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Hayley's fuel bills for her house increased from £76 a month in 2021
to £89 a month in 2022. Calculate the percentage increase in Hayley's
fuel bills from 2021 to 2022.
Give your answer correct to three significant figures.

Answers

The percentage increase in Hayley's fuel bills from 2021 to 2022 is equal to 17.105%.

What is a Percentage Increase?

The phrase "percentage increase" (or "percentage change" in general) refers to the difference between the final and starting values of a quantity, expressed as a percentage of that number's original value.

Steps to Calculate Percentage Increase?

The formula to calculate Increase (I) is given by, [tex]I=Y-X[/tex], where [tex]X[/tex] is the original value and [tex]Y[/tex] is the new value.The percentage increase formula is given by, [tex]\%I=\frac{I}{X} \times 100[/tex]

Here, in the question, it is given that,

The original amount (X) or the fuel bill in 2021 is £76.

The new amount (Y) or the fuel bill in 2022 is £89.

So, the Increase (I) in the fuel bills from 2021 and 2022 is calculated as,

[tex]I=Y-X\\\implies I=89-76\\\implies I=13[/tex]

Now, we can calculate the percentage increase in fuel bills from 2021 to 2022 as,

[tex]\%I=\frac{I}{X} \times 100\\\implies \%I=\frac{13}{76} \times 100\\\implies \%I=17.105\%[/tex]

Therefore, the percentage increase in Hayley's fuel bills from 2021 to 2022 is 17.105%.

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I need help with this Question.

Answers

The number of quarts in 12 L is 12.684 qt.

Given that, 12 L to qt.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Here,

There are 1.057 quarts in a liter, and there are 0.946 liters in a quart.

Now, 12 L=12×1.057

= 12.684 qt

Therefore, the number of quarts in 12 L is 12.684 qt.

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Which equation represents this statement?
3 times the sum of 4 and a number is 18.
O 3 +4n = 18
O 3n+ 4 = 18
O 3.4+ n = 18
O 3 (n+4)= 18

Answers

The equation represents the statement "3 times the sum of 4 and a number is 18 " is option (D) 3(n+4) = 18

The statement is

3 times the sum of 4 and a number is 18

The equation is the the mathematical statement the represents the relationship between two expression or variables with an equal sign.

Consider the unknown number = n

Sum of 4 and the number = n + 4

3 times the sum of 4 and the number = 3(n + 4)

3 times the sum of 4 and a number is 18

3(n + 4) = 18

Hence, the equation represents the statement "3 times the sum of 4 and a number is 18 " is option (D) 3(n+4) = 18

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-4x=76 x equals _-____________________________________________________________________________________________________________________________________________________________--

Answers

The value of x in the equation -4x = 76 is 19.

What is equation?

The equals sign is used in equations to indicate the equality of two expressions in a formula.

Given:

-4x = 76,

-x = 76 / 4,

x = -19

Therefore, the value of x in the equation -4x = 76 is 19.

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A company that most adults would erase all of their personal data online if they could. In order to test this claim, a GFI Software Survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could.
A. State the null and alternative hypotheses (in symbols).
B. Explain what a Type 1 and a Type 2 error would be in this case.
C. State the conclusion if the null hypothesis is rejected.
D. State the conclusion if the null hypothesis is not rejected.

Answers

a) The null and alternative hypothesis are given as follows:

Null: [tex]H_0: p \leq 0.5[/tex]Alternative: [tex]H_1: p > 0.5[/tex]

b) The errors are given as follows:

Type I: A sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.Type II: A sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.

c) The conclusion of a rejected null hypothesis is: There is enough evidence that most adults would erase their data if they could.

d) The conclusion of a not rejected null hypothesis is: There is not enough evidence that most adults would erase their data if they could.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is not enough evidence that most adults would erase all of their personal data online if they could, that is, if the proportion is not greater than 50%, hence:

[tex]H_0: p \leq 0.5[/tex]


At the alternative hypothesis, it is tested if there is enough evidence that they would erase the information, that is, if the proportion is greater than 50%, hence:

[tex]H_1: p > 0.5[/tex]

A rejected null hypothesis means that the alternative hypothesis is accepted, that is, there is enough evidence that most adults would erase their data if they could.

A not rejected null hypothesis, conversely, means that there is not enough evidence that most adults would erase their data if they could.

What are type I and type II errors?

Type I errors are when a true null hypothesis is rejected. Hence, the context of this problem, it would mean a sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.

Type II errors are when a false null hypothesis is not rejected. Hence, the context of this problem, it would mean a sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.

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Neema bought appliances costing $3725 at a store charging 5% add-on interest. She made a $700 down payment and agreed to monthly payments over four years. Find the total cost, for the appliances plus
interest.
The total cost for the appliances plus interest is $
(Type an integer or decimal.)

Answers

The total cost for the appliances plus interest is 4330.

What is an interest rate?

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR.

Here, we

Cost of the appliance = $3725

Neema paid $700 so amount financed = $3725 - $700 = $3025

Interest rate on the loan = 3025*0.05*4 = $605

Total cost of the appliance = $3725 + 605 = $4330

Hence, the total cost for the appliances plus interest is 4330.

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What is the mean of these numbers? 53 29 47 36 65

Answers

53+29+47+36+65=230/5= 46

Seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary. Find the measures of these three angles.

Answers

The measures of the remaining three angles of the decagon are 40, 50 and 130 degrees.

How to find angles of a decagon?

A decagon simony means a polygon with 10 sides. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.

Complementary angles sum up to 90 degrees while supplementary angles sum up to 180 degrees.

Therefore,

1440 - 1220 = 220

Let the angles be a, b and c.

Therefore,

a + b + c  =220

a + b = 90

b + c = 180

Hence,

a = 220 - 180

a = 40°

b = 90 - 40

b = 50°

c = 180 - 50

c = 130°

The angles are 40°, 50° and 130°.

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help me 10 pnts thanks so much

Answers

The expression 3.2^2 - 1 and 10 - 0.33 * 2 should be joined by less than to form an inequality

What is inequality?

Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.

The signs used in inequality are of 4 types namely

less thangreater thanless than or equal togreater than or equal to

The given expression is solved as follows

3.2^2 - 1

= 10.24 - 1

= 9.24

10 - 0.33 * 2

= 10 - 0.66

= 9.34

The two expressions can be joined as below

9.24 < 9.34

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Find the quotient.
2.4)7.68

Answers

Answer:0.3125

Step-by-step explanation:

none sry

The answer to this question is 10

What line is perpendicular to the line y= -1/2x + 8

Answers

Answer: y=2x+8

Step-by-step explanation:

you take the reverse of the slope being 2 including the negative.

Current Year Previous Year
Occupied Rooms 1,512 1,458
Total Rooms 1,800 1,800

Answers

The proportions of the total rooms that were occupied each year are:

The current year is 84%.The previous year is 81%.

What is the proportion?

Proportion is the fractional value of a variable when compared to the whole.

Proportions show the ratio or relative relationship between two or more values set as equal.

Like ratios, proportions are depicted in fractions, decimals, or percentages to show how two values compare.

                                          Current Year        Previous Year

Occupied Rooms                       1,512                    1,458

Total Rooms                              1,800                   1,800

Proportion of occupied rooms = 84%                    81%

                               (1,512/1,800 x 100)         (1,458/1,800 x 100)

Thus, on average, room occupancy for the two years is 82.5%, and proportionately for each year, it is 84% for the current year, while the previous year recorded 81%.

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Question Completion:

What proportion of the total rooms were occupied each year?

3x ≥5 or -3/5x-3>7 solve the compound inequality

Answers

By using the concept of linear inequation, the required solution is

[tex]x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here the given linear inequation is

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7[/tex]

Now

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5} x > 7 + 3\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5}x > 10\\\\x > \frac{5}{3} \ or \ x < \frac{10 \times 5}{-3}\\\\x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

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Fill in the blank, rounding the result to exactly three significant digits when necessary

81 m = ___ ft

Answers

There is 3.28084 feet to a meter, so multiply 81 by 3.281 gives you 265.761ft

what the area and pelase explain give brainly points

Answers

Answer: 10 squares

Step-by-step explanation:

The answer for the area is 10 squares but I’m not sure that’s what they’re asking for.

Essay for operation of sets

Answers

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

In a set theory, there are three major types of operations performed on sets, such as: Union of sets (∪) Intersection of sets (∩) Difference of sets (–)

Set Operations include Set Union, Set Intersection, Set Difference, Complement of Set, and Cartesian Product of Set

Set Union

The union of sets A and B (denoted by A ∪ B) is the set of elements that are in A, in B, or in both A and B. Hence, A ∪ B = { x | x ∈ A OR x ∈ B }.

n(A∪B) = n(A) + n(B) − n(A∩B)

Set Intersection

The intersection of sets A and B (denoted by A ∩ B) is the set of elements which are in both A and B. Hence, A ∩ B = { x | x ∈ A AND x ∈ B }.

n(A∩B) = n(A)+n(B)−n(A∪B)

Set Difference

The set difference of sets A and B (denoted by A - B) is the set of elements that are only in A but not in B. Hence, A - B = { x | x ∈ A AND x ∉ B }.

Complement of a Set

The complement of a set A (denoted by A’) is the set of elements which are not in set A. Hence, A' = { x | x ∉ A }. More specifically, A'= (U - A) where U is a universal set that contains all objects.

The complement of a universal set is an empty set U′ = ϕ. The complement of an empty set is a universal set ϕ′ = U.

Cartesian Product / Cross Product

The Cartesian product of n number of sets A1, A2, ... An denoted as

A1 × A2 ... × An can be defined as all possible ordered pairs

De-Morgan's Law - The De Morgan's law states that for any two sets A and B, we have (A ∪ B)' = A' ∩ B' and (A ∩ B)' = A' ∪ B'

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Select the values that make the inequality

Answers

The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

Given,

In the question:

To see the figure:

To select the values that makes the inequality  s ≤ 4 true.

Number table are given in figure.

To see the figure and analysis.

Now, According to the question;

To make the inequality s ≤ 4 true.

The selected value must be less than 4 {Properties of Inequality}

The values are sorted from small to large:

So, The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

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what is:

s . s + 0.5s . s

if s=8.2

Answers

Answer:

100.86

Step-by-step explanation:

8.2*8.2+0.5(8.2)*8.2

How will the mode be affected if the outlier is removed from the data set below? 58, 60, 53, 54, 60, 35, 58, 60

will the mode decrease?

will the mode not change?

is there not enough information?

will the mode increase?​

Answers

The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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Pam has worked for the same employer for 5 years. Her current salary is $73,500
which is 122.5% of her starting salary. What was Pam's starting salary?

Answers

What was Pam's starting salary?

Pam's current salary for 5 years = $73.500

Her salary went up for 122.5% in 5 years.
a = her starting salary

First, we will make an equation of this problem.

Let's use a as the symbol of her starting salary

equation that we are going to use
73500 = 122.5% x a

Next, we move a to the left and we want to divide 73500 with 122.5%
a = 73500 / (122.5/100)

Next, we want to divide 73500 with 1.225 since we've done dividing 122.5 with 100
a = 73500 / 1.225
a = 60000

Finally, we got the answer of Pam's starting salary was $60.000


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Which equation below represents the Exponent Property of Logs?

Answers

The only equation given that represents the Exponent Property of Logs is; Option A: log(A^r) = r*log(A)

How to find the exponent property of logarithm?

The  exponent property of logarithm says that the log of a power is the exponent times the logarithm of the base of the power. For example;

logₐ(MN) = logₐM + logₐN

logₐ(M/N) = logₐM - logₐN

logₐ(3²) = 2logₐ3

The first example above shows the product rule of logarithms

The second example shows the quotient rule of logarithms

The third rule shows the power rule

Now, looking at the options, the only one that shows the correct pattern of exponent property of logarithm is;

Option A: log(A^r) = r*log(A)

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can anyone help with this​

Answers

Answer:

bla blablablablabla

Step-by-step explanation:

blablablablablabla

3. One batch of pancakes needs 1 1/4 cups of pancake mix. One box has 9 cups of pancake mix How many batches of pancakes can be made with one box of pancake mix?​

Answers

I don’t know the answer but all I know is you get a bunch of pancakes
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The sample contains a very high concentration of dark-colored, high-density minerals. Classify the rock by type and composition. Dad fills the car's gas tank when it is about 1/2 empty. Later, he fills the tank when it is about 3/4 empty. He bought a total of 18 1/2 gallons of gas on those two days. How many gallons does the tank hold? what would you rather have: a loose constitution that can be updated by court decisions, or a rigid constitution that relies on popular amendments to keep up with the times? explain your reasons. Classify the polynomial by its degree: 4m-9x + 10A) 0B) 1stC) 2ndD) 3rdE) 4th All year-end tax reporting forms for the preceding calendar year must be delivered to the employees by ______________. which of the following is an accurate conclusion based on a comparison of the trends in the line graph and your knowledge of presidential communication strategies? choose 1 answer: choose 1 answer: (choice a) a presidents have turned toward social media as the major means of communicating with the electorate directly (choice b) b presidents have increased the length of their state of the union messages to limit the available media time for opposition responses (choice c) c presidents have decreased the length of their state of the union messages to accommodate shrinking attention spans (choice d) d presidents have increased the length of their state of the union messages to make the most of the opportunity to influence the electorate directly 1. prior to cellular radio, mobile radio and telephone services required: a. a high-power transmitter/receiver b. multiple transmitters/receivers c. only one or two dedicated channels d. that many channels be used, which exceed the frequency capacity which production system combines a number of raw materials or parts into a finished product, or changes raw materials into completely different finished products? A telephone exchange operator assumes that 8% of the phone calls are wrong numbers. If the operator is correct, what is the probability that the proportion of wrong numbers in a sample of 494 phone calls would differ from the population proportion by more than 3%? Round your answer to four decimal places. HELP PLEASE! WILL MARK AS BRAINY! I can determine if a relation is afunction.1. Use vertical line test to determine ifthe graph is a function. Why or why not?71(72Z24