You would like to have $41,000 in 5 years for the down payment on a new house
following college graduation by making deposits at the end of every three months in
an annuity that pays 4.25% compounded quarterly. How much should you deposit at
the end of every three months? How much of the $41,000 comes from deposits and
how much comes from interest?

Answers

Answer 1

Answer:

a. You are looking for an annuity that will give $41,000 in 5 years with a quarterly compounding rate of 4.25%.

Convert periods and interest to quarterly rate.

Period = 5 * 4 = 20 quarters

Interest = 4.25 / 4 = 1.0625‬%

41,000 = Annuity * ( [ 1  +  i ] ^n - 1 )/i

41,000 = Annuity * ( [ 1 + 1.0625%]²⁰ - 1) / 1.0625%

41,000 = Annuity * 22.1534596596

Annuity = 41,000 / 22.1534596596

= $1,851

b. There were 20 payments of $1,851 made which totals:

= 1,851 * 20

Cash from deposits = $‭37,020‬

Cash from interest = 41,000 - ‭37,020‬ = $3,980


Related Questions

Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

Answers

Answer:

a. 0.4

b. 0.6

c. 0.6493

Step-by-step explanation:

p(checking work email) = p(A) = 0.40

p(staying connected with cell phone) = p(B) = 0.30

p(having laptop) = p(c) = 0.35

p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16

p(neither A,B or C) = p(AuBuC)

= 1-42.8%

= 0.572

p(A|C) = 88% = 0.88

p(C|B) = 70% = 0.7

a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?

p(B|A) = p(AnB)/p(A)

= 0.16/0.4

= 0.4

b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?

p(B|C) = P(C|B)p(B)/p(C)

= 0.7x0.3/0.35

= 0.6

c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

p(A|BnC)

= P(BnAnC)/p(AnC)

= p(AnC) = p(A|C).p(C)

= 0.88x0.35

= 0.308

p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)

p(BnC) = 0.7x0.3

= 0.21

p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21

= 0.2

p(A|BnC) = 0.2/0.308

= 0.6493

Answer:

which ever one you want its an opinion answer.

Step-by-step explanation:

Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?

Answers

Answer:

(2.5,3.5)

Step-by-step explanation:

Omni calculator

Answer:

(2.5, 3.5)

Step-by-step explanation:

The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?​

Answers

There were about ...
100-20=80
Then take 80/2=40
So you add 20+40=60
At the end you have 60 democrats and 40 republicans. And to be sure you can add 60+40=100.

Yep me out please where can I found the value of x in the triangle at the right?

Answers

A, its a small angle,

Which linear inequality represents the graph below?
(0,4)
(2,4)

Answers

Answer:

c

Step-by-step explanation:

slope of red line=(-4-4)/(2-0)=-8/2=-4

eq. of red line is y-4=-4(x-0)

y=-4x+4

put x=0,y=0

0=0+4

which is true if 0<4

so y<-4x+4

The linear inequality represents the graph fr the coordinates (0,4), (2,-4) is y < -4x + 4.

What is linear inequality?

Expressions with linear inequalities compare any two values using inequality symbols like "<",  ">" , "≤" or "≥" These values could be either numerical, algebraic, or both.

Calculation for linear inequality shown by graph:

The coordinates of the straight line are  (0,4), (2,-4).

Substitute the value in equation shown in option C.

y < -4x + 4

For points (0,4), put x = 0 and find y.

y < -4×0 + 4

y = 4 , which is satisfied.

Now consider points (2, -4)

Put x = 2 in the same equation and find y.

y < -4×2 + 4

y = -4 ( which again satisfies the given value for y)

Therefore, the equation y < -4x + 4 satisfies the points given for straight line.

To know, how to find equation of line for any point?, here

https://brainly.com/question/18831322

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Need help!!! Wil mary brainlyest!

Answers

Answer:

-17/5/11/10

=-17/5*10/11=-34/11=

[tex]3 \: \div1 \div 11[/tex]

Hope it helps

Answer:

Easy.  The answer is -3 1/11

Step-by-step explanation:

-17/5/11/10

-170/55

-3 1/11

What is the value of x?​

Answers

Answer:

x=2

Step-by-step explanation:

so u have 7 as the whole length.

and 5 of the 7 is filled

so u do this 7-5=2

True or False: If you are tossing three dice, ={2,3,4,5,6}
is an event in that sample space.

false

true

Answers

I think is true

Please let me know if it right

Cynthia walk 9/100 Miles to school and 3/10 Miles friends house how many miles does Cynthia walk total

Answers

Answer:

12 Miles

Step-by-step explanation:

Expand. Your answer should be a polynomial in standard form. (d^2+3)(d^2+2d+1)=(d 2 +3)(d 2 +2d+1)=left parenthesis, d, squared, plus, 3, right parenthesis, left parenthesis, d, squared, plus, 2, d, plus, 1, right parenthesis, equals

Answers

Answer:

A= d^4-d^2-6

Step-by-step explanation:

I have khan academy and the other answer is wrong

PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH

Answers

Answer:

Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.

Answer:

Function 2

Step-by-step explanation:

What is the solution to the equation below? Round your answer to two
decimal places.
-
24x = 127

Answers

Answer:

x = 5.29

Step-by-step explanation:

24x = 127

Divide both sides by 24.

x = 127/24

x = 5.29

What is the angle of elevation of the sun when a 42​-ft mast casts 16 ft​ shadow?
thanks

Answers

Answer:

Heres how you do it

Step-by-step explanation:

10+2 =12 which means 72

Jada has read 7/10 of a book. The book has 80 pages. How many more pages does she need to read before she is done with the book?

Answers

Answer:

24 More Pages

Step-by-step explanation:

7/10=0.7=70%

70% of 80 = 56

80 - 56 = 24

24 More Pages

Answer: 24 pages

Step-by-step explanation:

7       x

10    80

560=10x

÷10   ÷10

56=x

56 pages already read

80-56=24

24 pages left

Which pair of triangles can be proven congruent by SAS?
AA

Answers

The second one. There is a side, an angle, and another side.

Find the value of y when
2x. + 6y = 1
Fast please!!!???

Answers

Subtract 2x for each side
6y = -2x+1
Divide all the number with 6
Y = -1/3 + 1/6 or 1.7

Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars. If she knows she has sold no more than $720 worth
of tickets, what are the possible combinations?

Answers

Answer:

Adult tickets cost $80, children ticket cost $40

Step-by-step explanation:

Given data

let the number of adults be x

and the number of children be y

so

x+y= 40-------------1

The adult tickets

cost 14 dollars and the children’s tickets cost 12 dollars.

14x+ 12y=  720-------2

solve 1 and 2

x+y= 40

14x+ 12y=  720

from 1

x= 40-y

put this in 2 in place of x

14(40-y)+12y= 720

560-14y+12y= 720

collect like terms

-2y= 720-560

-2y= 160

y= -160/2

y= -80

put y= 80 in 1

x+80= 40

x= 40-80

x= -40

Hence Adult tickets cost $80, children ticket cost $40

PLEASE HELP

If x = 3x + 4 - 1 , then what does -x equal?

Answers

Answer:

-4/5 = x

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

x = 3x + 4 - 1

we can subtract 1 from 4

x = 3x + 3

subtract 3x from both sides

-2x = 3

divide both sides by -2

x = -3/2

so -x would equal -(-3/2) = 3/2


What is the coefficient for x in the equation below?
7x + x = 14
a 7
b 1
c 2
d 10

Answers

The answer a
Because that’s what I said
A is the answer because a coefficient is the number in front of a variable.

Maria is x old her sister is twice her age write an expression in simplest form that represents the sum of the ages of the two sisters

Answers

Answer:

x*2=y+x= both

Step-by-step explanation:

y would be her sister age, you would have to multiply Marias age by 2 to get her sisters age since her sister is twice her age then you have to add them together to get the sum of both their ages.

Example: maria is 16

               16*2=32+16=48

           so the sum of both of their ages is 48 (JUST AN EXAMPLE)

help me with this fast and explain it for brainiest :)

Answers

So i think it would be 1/2 (OR .5), or possibly 2 depending on what its asking.

Every number in X can be multiplied by 2 to receive y, or the numbers in y.

The linear equation would be x*2=y, making the linear function 2, UNLESS you want to take Y and DIVIDE it by 2, making it 1/2, linear equasion would be y*.5=x, or y/.5=2 OR y*1/2=x.

Hope this helps, I'm so sorry if its wrong, I'm not too good at linear functions, I'm pretty sure its 1/2.

What does (a+b+c)²=?

Answers

Answer:

a²+b²+c²+2ab+2bc+2ca

What is the area of a circle that has a radius of 5 meters

Answers

Answer:

Step-by-step explanation:

area of circle = pi* r^2

   Area = (3.14)*(5)^2

   area= 78.5 m^2

Step-by-step answer:

The formula for the area of a circle is pi•r², so substitute 5 in for r.

pi•5²

Now, simplify the equation. Use PEMDAS.

There are no Parentheses, so we move on to Exponents.

pi•25

Now, we move to Multiplication.

P.S. If you are using 3.14 for pi, your answer is 78.5; otherwise, your answer is below.

78.53981634

Plzzzzz give me Brainliest!!!!!

PLZ answer this soon!!!!

Answers

Answer:

8 -4

Step-by-step explanation:


Help me find the volume of the composite figure

Answers

Answer:

[tex]V = 97.911in^3[/tex]

Step-by-step explanation:

Given

Shapes: Cube and Cone

Required

Determine the volume

First we calculate the volume of the cube

[tex]V_1 = l^3[/tex]

Where

l = side length = 5.1

[tex]V_1 = 5.1^3[/tex]

[tex]V_1 = 132.651[/tex]

Next, calculate the volume of the cone using:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

Where

h = 5.1

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 5.1[/tex]

[tex]r = 2.55[/tex]

So, we have:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]

[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]

[tex]V_2 = \frac{729.5805}{21}[/tex]

[tex]V_2 = 34.74[/tex]

The volume of the figure is:

[tex]V=V_1 - V_2[/tex]

[tex]V_1 = 132.651[/tex]

[tex]V = 132.651 - 34.74[/tex]

[tex]V = 97.911in^3[/tex]

Solve the equation:
8x + 6 – 9x = 2 - X + 4

Answers

8x+6-9x= 2-x+4
8x+6+-9x=2+-x+4
(8x + -9x) + (6) = (-x) + (2+4) (combine like terms)
-x+6= -x+6
-x+6+x=-x+6+x
6-6=6-6
0=0

In ΔABC , angle C is a right angle.









Which statement must be true?






A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B

Answers

Answer:  Choice A. sin(A) = cos(B)

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

Explanation:

The rule is that sin(A) = cos(B) if and only if A+B = 90.

Note how

sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/AB

Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).

In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.

The side lengths can be anything you want, as long as you're dealing with a right triangle.

What is the remainder for 1,259/6?

Answers

Answer:

209 R 5

Step-by-step explanation:

Hope this helps

Answer:  209.833333333

Step-by-step explanation:

1259 6 = 209.833333333

209.833333333 = 2098.33333333 to the nearest tenth

209.833333333 = 209.83 to the nearest hundredth

209.833333333 = 209.833 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

1259 divide by half plus 20

HWA: (1259/2) + 20 = 649.5

1259 divide by half plus 40

HWA: 1259/2) + 40 = 669.5

1259/6 divided by 2

Answer: (1259/6) ÷ 2 = 104.916666667

A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time
Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
300
T(W) =
530-W
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.

Answers

Answer:

Step-by-step explanation:

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

What is an approximation?

An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.

Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).

The value of approximation will be calculated as

T(W) = ( 300 ) / ( 530 -W).

T(110) = ( 300 ) / ( 530 - 110)

T(110) = (300 ) / ( 420)

T(110) = 0.714

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.

To know more about an approximation follow

https://brainly.com/question/2457740

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Mojave art club is selling t shirts for a fundraiser. A local company charges $35 to set up the logo and $4.25 per t shirt if x t shirts are printed by the business.

If the art club charged $10 per shirt how many shirts would need to be sold to cover their costs?

function C(x)=35+4.25x/x

Answers

Answer:

At least 7 shirts would need to be sold to cover their costs

Step-by-step explanation:

Cost of producing x t-shirts.

The cost of producing x t-shirts is a flat fee of 35 plus 4.25 per t-shirt. So

[tex]C(x) = 35 + 4.25x[/tex]

Earnings of selling x t-shirts:

Charges $10 per t-shirt, so it earns 10 for each t-shirt it sells.

[tex]E(x) = 10x[/tex]

How many shirts would need to be sold to cover their costs?

To cover the costs, we need that the earnings are equal or higher than the costs. So

[tex]E(x) \geq C(x)[/tex]

[tex]10x \geq 35 + 4.25x[/tex]

[tex]5.75x \geq 35[/tex]

[tex]x \geq \frac{35}{5.75}[/tex]

[tex]x \geq 6.09[/tex]

Since we cannot sell a decimal part of a shirt, at least 7 shirts would need to be sold to cover their costs

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