Question
To save for a down payment on a home, suppose you decide to invest in an annuity that pays 7.0% annual interest,
compounded annually. If you contribute $8,000 every year for 5 years, how much interest would you earn during the
5 years? Enter your answer, rounded to the nearest cent, without the dollar sign or comma ($21,678.1235 should be
entered as 21678.12.)

Answers

Answer 1

If you contribute $8,000 every year for 5 years, the interest would you would earn during the 5 years is:6005.91

What is future value of annuity?

The future value of the annuity means the future worth of 5 annual contributions  of $8000 every year, based on the fact that the deposits would earn 7.0% interest rate every year, in short, the worth of the savings in 5 years can be determined using the future value of an ordinary annuity as shown below:

FV=PMT*(1+r)^N-1/r

FV=accumulate balance after 5 years=unknown

PMT=annual savings=$8,000

r=interest rate per year=7.0%

N=number of annual payments over 5 years=5

FV=$8000*(1+7.0%)^5-1/7.0%

FV=$46,005.91

Total deposits in 5 years=$8000*5=$40,000

Interest =FV-total deposits

interest=$46,005.91-$40,000

interest=$6,005.91

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Related Questions

Point W (-2,4) from square WXYZ is translated 4 units right. What are the coordinates for W’ ?

Answers

Answer:

W' (2, 4 )

Step-by-step explanation:

a translation of 4 units right means add 4 to the x- coordinate, that is

W (- 2, 4 ) → W' (- 2 + 4, 4 ) → W' (2, 4 )

Teresa has a total of 13 coins.

None of them are pennies, and she has at least three each of quarters, dimes, and nickels.

What is the least amount of money she can have?

Answers

Answer: $0.65

Step-by-step explanation:

She can have all nickels since at least 3 nickels means that there is a possibility that all 13 of her coins are nickels.

100 cents=1 dollar

Nickel=5 cents

5 cents * 1 dollar/100 cents=

5*1/100=0.05 dollars

Hence, the least total amount of money she could have is:

13*0.05=$0.65

Answer:  $1.40

This is equivalent to 140 cents.

==========================================================

Explanation:

"she has at least three each of quarters, dimes, and nickels"

Let's say she has exactly 3 of each for now

3 quarters = 3*25 = 75 cents3 dimes = 3*10 = 30 cents3 nickels = 3*5 = 15 cents

So far she has 75+30+15 = 120 cents (aka $1.20) with the 3*3 = 9 coins mentioned. There are 13-9 = 4 coins remaining

To achieve the least money possible, those missing four coins must be the smallest denomination allowed, i.e. the nickel. We can't go for penny since it states "none of them are pennies". So we add 4*5 = 20 more cents onto 120 to get 120+20 = 140 cents aka $1.40

Solve for h.
V=1/3bh

Answers

Answer:

h = 3V /b

Step-by-step explanation:

V=1/3bh

Solve for h

Multiply each side by 3

3V = 3*1/3bh

3V = bh

Divide each side by b

3V/b = bh/b

3V /b = h

h = 3V /b

Answer:

[tex]3v = bh \\ bh = 3v \\ h = \frac{3v}{b} [/tex]

The Earth’s total land area is 57,308,738 square miles. The land area of North America is about 16.5% of this total. Estimate the land area of North America. Describe your strategy.

Answers

The land area of North America is 9,455,941.77 square miles.

What is the land area of North America?

Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %.

In order to determine the land area of North America, multiply the total land area of the Earth by the percentage of the land area of North America.

Land area of North America = percentage of the land area of North America x total land area

16.5% x  57,308,738

0.165 x 57,308,738 = 9,455,941.77 square miles

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Two points have the same y-coordinate but opposite x-coordinates. Which is a possible graph of these points?

Answers

The possible graph for two points have the same y-coordinate but opposite x-coordinates is shown below.

In a general point (x,y) , the value x represents the distance from origin to point along x - axis,

and

the value y represents the distance from origin to point along y axis.

It is given in the question that

There are two points in which the y coordinate of both the points is same

the x coordinate is of opposite signs.

Let us take an Example  

let the points be A(a,b) and B(c,d)

According to the question

b = d and -a = c

So the points will become (a,b) and (-a,b)

For Example ;

let a=2, b=3

the two points will become (2,3) and (-2,3).

Therefore , the possible graph of these points is shown below .

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mario se fue de compras con 90 soles los cuales gasto de la siguiente manera en chompas gasto el doble que en camisas y en pantalones gasto el triple que en camisas¿ caunto gasto en pantalones?

Answers

The amount spent on pants based on the information illustrated is 45 soles.

How to calculate the value?

Let the amount spent of shirt = x

Amount spent on sweaters = 2x

Amount spent on pants = 3x

Amount spent = 90

Therefore, the value will be:

x + 2x + 3x = 90

6x = 90

Divide

x = 90/6

x = 15

Therefore, the amount spent on pants will be:

= 3x

= 3 × $15

= 45 soles.

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Calculate the finance charge for a credit card that has given the average daily balance and interest rate. (Round your answer to the nearest cent.) average daily balance: $118.18, monthly interest rate: 1.15%

Answers

The finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.

What is  finance charge?

The finance charge is the cost of credit in dollars. It is calculated on a credit card's unpaid balance. A finance charge, the cost of having the debt a longer time, is added to the outstanding credit card balance.

Given:

Average daily balance: $118.18,

monthly interest rate: 1.15%

According to given question we have

A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR) and the days in your billing cycle. The product is then divided by 365 .

i.e

[tex]\frac{118.18*1.15*30}{365} \\=11.170[/tex]

Therefore, the finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.

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what is the value of the algebraic expression if x=1/2, y -1, and z=2?

Answers

The value of the given algebraic expression 6x(y²z)  is (D) 6.

What are algebraic expressions?In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions. 2(x + 8y) is an algebraic expression, for example.

So, substitute the values of x, y, and z in the given expression:

6x(y²z)

When x = 0.5, y = -1 and z = 2

= 6(0.5)((-1)²)(2)= 3(1)(2)= 6

Therefore, the value of the given algebraic expression is (D) 6.

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The complete question is given below:
What is the value of the algebraic expression if x= 1/2 , y = -1, and z = 2? 6x(y²z)

A. -12

B. -6

C. 1

D. 6

1/3 x 3/5 = hgggbbbhbh

Answers

Answer:

14/15

Step-by-step explanation:

I need help ASAP, this is with khan academy.

Answers

Answer:

◉ No

Step-by-step explanation:

   a vertical line is not a function because it will not survive the vertical line test, VLT.

the VLT is a vertical line that touches functions, if it touches it twice or more, then it's not a function

=======================================

[tex]\textcopyright ELIZA \bullet22/09/'22[/tex]

[tex]\#CARRYONLEARNING :)[/tex]

(c)
If two marbles are selected at random without replacing between draws, what is the probability that the outcome contains green and/or blue marbles only? (Round your answer to four decimal places.)
(d)
If three marbles are selected at random without replacing between draws, what is the probability that the outcome contains only green marbles? (Round your answer to four decimal places.)
(e)
If three marbles are selected at random with replacing between draws, what is the probability that the outcome contains no green marbles? (Round your answer to four decimal places.)

Answers

The following issues have the following needed probabilities: 1.) 1 / 3 2.) 1 / 5, and 3.) 1 / 4.

Here,

Four red marbles, five yellow marbles, three green marbles, and three blue marbles make up a jar.

There are 15 marbles in all.

1) Chance that the result exclusively includes green and/or blue marbles,

= 2 / 6 = 1 / 3

2.) Chance that the result solely contains green marbles

= 3 / 15 = 1 / 5

3.) the likelihood that there won't be any green marbles in the result,

= 3 / 12 = 1 / 4

As a result, the needed probability for the following issues is given: 1.) 1 / 3. 2.) 1 / 5, and 3.) 1 / 4.

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cia
Mat
Scien
Simplify the expression 4a + b - 7+ b + a - 3.
7a + 2b - 4
5a + 2b - 4
5a + 2b - 10
за - 10

Answers

Answer:

the answer would be 5a+2b-10

over the period every year Julie‘s net worth increased which of the following could be true

Answers

(D) Julie's assets decreased by more than her liabilities: TRUE

What are assets?An asset is any resource owned or controlled by a business or economic entity in financial accounting. It is anything that has the potential to generate positive economic value. Assets are ownership values that can be converted into cash. Physical assets include machinery, property, raw materials, and inventory, as well as intangible assets such as patents, royalties, and other intellectual property.

So, assets are simply the resources that a person or company possesses, whereas liabilities are the debts that the economic agent owes to others.

Juliet's net worth will decrease because the value of her debt increased faster than the rate at which her assets increased. Julie's assets decreased more than her liabilities in this case.

Therefore, the statement "(D) Julie's assets decreased by more than her liabilities" is TRUE.

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The complete question is given below;
Over the period of a year, Julie's net worth decreased. Which of the following could be true?

a Julie's assets and liabilities decreased by the same amount.

b. Julie's assets and liabilities increased by the same amount.

C. Julie's assets increased by more than her liabilities.

d. Julie's assets decreased by more than her liabilities.

Please select the best answer from the choices provided

3.007 as a fraction?

Decimal > Fraction

Answers

Answer:

3 7/100

Step-by-step explanation:

3007/1000 = 3 7

1000

3.007 as a fraction is equal to 3 7/1000.

The three is to the left of the decimal point so it is a whole number, which makes the fraction a mixed number.

The 7 is three places to the right of the decimal point, which when multiplying 10^3 will result in 1,000. Therefore, the denominator is 1,000.

3.007 as a fraction is 3 7/1000.

write the answer from top to bottom​

Answers

Answer:

b

Step-by-step explanation:

state 3 fractors other than $/ hours

dont mind the answer I put thank y’all!!

Answers

Answer:

your right

Step-by-step explanation:

the answer is k and l thats right pls mark brainliest

or hit the thanks button!!!!!!!

pls and thank you!

The sum of two numbers is 14 . One number is 2 less than the other. Find the numbers.

Answers

The two numbers are 6 and 8.

What are the two numbers?

The first step is to determine the simultaneous equations that would be used to determine the answer. The simultaneous equations would be derived from the information provided in the question.

x + y = 14 equation 1

x - y = 2 equation 2

Where:

x = larger number

y = smaller number

The simultaneous equations would be solved using the elimination method

Now, subtract  equation 2 from  equation 1

2y = 12

Divide both sides of the equation by 2

y = 12 / 2

y = 6

Substitute for y in  equation 2

x - 6 = 2

Add 6 to both sides of the  equation

x = 2 + 6

x = 8

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How do you solve this?

Answers

The measures of the angles are:

m<7 = 47°

m<8 = 62°

m<1 = 62°

m<2 = 71° [vertical angles theorem]

m<5 = 109°

m<3 = 109°

m<4 = 35°

m<6 = 29°

What is the Alternate Interior Angles Theorem?

The alternate interior angles theorem states that two interior angles that are formed along a transversal and lie alternate to each other on two parallel lines are congruent to each other.

Measure of angle 7 = 47° [based on the alternate interior angles theorem]

Measure of angle 8 = 180 - 47 - 71 [triangle sum theorem]

Measure of angle 8 = 62°

Measure of angle 1 = measure of angle 8 = 62° [based on the alternate interior angles theorem]

Measure of angle 1 = 62°

Measure of angle 2 = 71° [vertical angles theorem]

Measure of angle 5 = 180 - 71 [linear angle theorem]

Measure of angle 5 = 109°

Measure of angle 3 = measure of angle 5 = 109° [vertical angles theorem]

Measure of angle 4 = 180 - measure of angle 3 - 36 [linear angle theorem]

Measure of angle 4 = 180 - 109 - 36

Measure of angle 4 = 35°

Measure of angle 6 = 180 - measure of angle 5 - 42 [linear angle theorem]

Measure of angle 6 = 180 - 109 - 42

Measure of angle 6 = 29°

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What is the image of the point
(−9,7) (−9,7) after a rotation of 180∘
counterclockwise about the origin?

Answers

The image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).

What is Dilation?

Dilation is a process for creating similar figures by changing the size.

What is the rotation of a point counterclockwise about the origin?

Rotation of a point P(x, y) 180 counterclockwise about the origin produces an image at P'(-x, -y).

Here, the point counterclockwise about the origin → (-(-9), -7).

Therefore, the image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).

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Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of the y-coordinate. Complete Tomas’s work to answer the question.



Which is the coordinate of point A?

(8, –6)
(–6, 8)
(6, –8)
(–8, –6)

Answers

Answer:   Доброе утро, ответ 5+5="4

Step-by-step explanation:

Cynthia Besch wants to buy a rug for a room that is 18 ft wide and
29 ft long. She wants to leave a uniform strip of floor around the
rug. She can afford to buy 276 square feet of carpeting. What
dimensions should the rug have?

Answers

Answer:

Given,

length(l)=29ft

breadth(b)=18ft

now,

Area of rug=l×b

=29×18=522ft²

Determin whether the relation defines a function, and give the domain and range.

Answers

The relation is not a function if its domain is on the x-axis and its range is on the y-axis. However, if the relation's domain is on the y-axis and its range is on the x-axis, it is a function.

If so, what kind of function is it?

Relationships are defined by three factors:

1. domain is a set of inputs.

2. an output set referred to as range.

3 . relationships between domain and range-related items.

If and only if each element of the domain is associated to just one member of the range, is a relation a function. It must be noted that the solution may vary based on the domain and range that we assume.

The provided relation is a function if the x-axis is the range and the y-axis is the domain, as opposed to when the x-axis is the domain and the y-axis is the range.

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True or false is zero is subtracted from an integer the result is the integer

Answers

[tex] \chi - 0 = \chi \\ 2 - 0 = 2 \\ y - 0 = y\\ .....[/tex]

True

Any number take away zero, is still that number.

Which of the following numbers has an odd number of factors
A) 12
b) 24
c) 36
d) 48

Answers

C) 36
Is the right answer

Question 20 (5 points) The Torre Company has the following stockholders' equity account balances in stockholders equity on December 31. Common Stock - $5 par, 60,000 shares issued 340,000 Paid-In Capital in Excess of Par-Common Stock 650,000 Preferred Stock - $100 par, 5,000 shares issued 590,000 Paid-In Capital in Excess of Par-Preferred 120,000 Retained Earnings 240,000 Treasury Stock (cost-$10 per share) 120,000 If net income for the year was $110,000 and a preferred stock dividend of $30,000 was paid, what was the beginning value of retained earnings?​

Answers

According to the solving the beginning value of retained earnings:

= $1,60,000.

What is retained earnings?

Retained earnings are usually included in the shareholders' equity portion of a company's balance sheet. Retained earnings are computed by adding beginning-period retained earnings to net income (or loss), then deducting dividend distributions.

How do I figure up my retained earnings?

To calculate retained earnings, subtract a company's liabilities from its assets to obtain stockholder equity, then locate the common stock line item on your balance sheet and multiply the total stockholder equity by the common stock financial statement figure (if the only two items in your stockholder equity were also common stock).

According to the given data:

Retained earnings, ending = $240,000.

Net income = $110,000.

Preferred stock dividend = $30,000.

Retained earning, beginning = ?

Retained earnings, ending = Retained earning, beginning + Net income - Preferred stock dividend

$240,000 = Retained earning, beginning + 110,000 - 30,000

Retained earning, beginning = 1,60,000

According to the solving the beginning value of retained earnings:

= $1,60,000.

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A truck driver is driving on an interstate and is about 150 miles from his planned exit. He is traveling at a speed of 50 miles per hour and plans to stop for a rest within 30 miles of the exit on either side. Find the minimum and maximum numbers of hours the truck driver will drive before stoping for a rest.

Answers

The minimum and maximum numbers of hours the truck driver will drive before stoping for a rest will be 3.6 hours and 2.4 hours respectively.

How to illustrate the information?

From the information, the truck driver is driving on an interstate and is about 150 miles from his planned exit and he is traveling at a speed of 50 miles per hour and plans to stop for a rest within 30 miles of the exit on either side.

Therefore, the appropriate equation be:

50h - 150 = 30

50h = 30 + 150

50h = 180

Divide

h = 180 / 50

h = 3.6 hours.

The minimum hours will be:

50h = 150 - 30

50h = 120

h = 120/50

h = 2.4 hours.

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Evaluate the expression when n=8. n^2 - 18

Answers

Answer:

Step-by-step explanation:

n^2 - 18. n=8

Simply plug 8 in place of n. The ^ sign refers to the power of the number, so in this case we square it. Review order of operations if needed.

8^2 - 18

(8×8) - 18

64 - 18 = 46

So the answer is 46

Simplify −3(5x + 1) + completely. 8 16(x − 9)

Answers

The expression is simplified to x - 147

What are algebraic expressions?

Algebraic expressions are defined expressions made up of terms, factors, variables, constants , coefficients.

They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.

Given the expressions;

−3 (5x + 1) + 16(x − 9)

First, we have to expand the bracket

-15x -3 + 16x - 144

collect like terms, we have;

-15x + 16x - 144 - 3

Add or subtract like terms as seen in the expression

x - 147

Note that the expression is simplified to x - 147

Thus, the expression is simplified to x - 147

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Muscles Gym has a rack of hand weights. There are four hand weights that weigh 5 pounds each. What is the area of the side of the hand weight shown ?

Answers

Answer:

21 7/8 in^2

Step-by-step explanation:

explantation up top

3^4 x 10^6
What is the answer ??

Answers

81000000 is the answer
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