Ben sold his small online business for $100,000. The purchaser will pay him $20,000 today, then $20,000 every year for the next four years. Assume that Ben could invest a lump-sum payment today in an account yielding an interest rate of 4% annually. Find the total present value of all five payments.

A.
$87,096
B.
$88,384
C.
$92,598
D.
$93,964

Answers

Answer 1

Answer:

c.92,598

Step-by-step explanation:

20000 + 20000/1.04 + 20000/(1.04^2) + 20000/(1.04^3) + 20000/(1.04^4)

= 20000 + 19230.77 + 18491.12 + 17779.73 + 17096.08

= 92597.7

= 92,598


Related Questions

What is the value of 21 - 4 × ❒ = 5 ? in the equation below? (Show your work)

Answers

Answer:

4

Step-by-step explanation:

21 - 4 × ❒ = 5

-4x = 5 - 21

-4x = 16 (divide both sides)

x = 4

Question 22
Find the volume.

Answers

Answer:

D

Step-by-step explanation:

area times height dived by 3

note that the radius is 8

Answer:

D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9 m³

Step-by-step explanation:

Formula = πr²* h/3

Volume = π * 64 * 8/3

Volume = π * 512/3 = 535.89 ≈ 535.9

Answer = D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9m³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find cot 0, sec 0, and cos 0, where is the angle shown in the figure. Give exact values, not decimals approximations.

Answers

Answer:

Cot 0 = undefined

Sec0 = cos0 = 1

Step-by-step explanation:

According to trig identity

Cot theta = 1/sin theta

Sec theta = 1/cos theta

Hence

Cot 0 = 1/tan0

Cot 0 = 1/0

Since a/0 is undefined, hence cot 0 will be undefined

Sec 0 = 1/cos 0

Sec0 = 1/1 = 1

Cos 0 = 1

Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.

Answers

Just count out the square from each part if u do that correctly then u add all of them so the answer will be the third one


Yvonne ran up 1/4 of the total flights of staris in an office building and walked up the rest of she
walked up 9 flights of stairs, how many flights did she run up?
3
9
12
27
36

Answers

Yvonne ran up 12 flights of stairs.

Explanation:
Understand the situation:

Yvonne ran up 1/4 of the total stairs. Afterwards, she walked the REST of the stairs, which is said to be 9 STAIRS. HOW MANY flights of stairs IN TOTAL did she run up?

When she ran the REST of the stairs, it meant she ran the other 3/4 of stairs because:
1 - 1/4 = 3/4

To add someting, that means that the 9 stairs is 3/4 of the total stairs, so lets fins the total stairs using this information:
9 ÷ 3/4 = 12

LETS CHECK IF 9 IS REALLY 3/4 of 12:
12 x 3/4 = 9

HOPE THIS HELPS
-SpaceMarsh

Please help it's for my test.

The area of a parallelogram is 108 square inches. What is the length of the parallelogram if the height is 6 inches?

Answers

Answer:

18 inches

Step-by-step explanation:

just FYI this is using base and height this is not trigonometry or diagonals but whenever you want to find the area of a parallelogram you have the base times the height and so you have the formula A= B * H but here you want to find the base so we divide the area by the height since those are your givens

A/H=B

108/6=18

Can you solve this equation???

Answers

Answer:

-6

Step-by-step explanation:

Move the variable to the left hand side and change its sign.

5 - 2x + 4x = -7

Collect like terms.

- 2x + 4x = - 7 - 5

2x = - 7 - 5

Calculate the difference.

2x = -12

Divide both sides.

x = -6

If x-12y=-210and x-6y=90 then x =

Answers

Answer:

90

Step-by-step explanation:

x

12

y

=

210

=

=

210

x

6

y

=

90

=

=

90

x

=

=

90

A.)55
B.)38
C.)70
D.)20

Answers

Answer:

D) 20

Step-by-step explanation:

4x - 10  and x together equal 90

Set your formula up as

90 = 4x - 10 + x

90 + 10 = 4x + x

100 = 5x

100 / 5 = x

20 = x

Look at the angle shown below.
Estimate the measure of the angle.

Answers

Answer:

A

Step-by-step explanation:

It's only slightly bigger than 90 degrees, so 110 is the only plausible conclusion

Answer:

110

Step-by-step explanation:

Calculate half yearly payment required for each five year intervals

Answers

Answer:

bro im not going to download that pdf

Step-by-step explanation:

What is the equation of the circle?


Answers

Answer:

( x - (-1) )^2 + ( y - (-1) )^2 = 3^2

Step-by-step explanation:

The equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, r is the radius.

(h,k) is the coordinates for the center point.

In this image, it appears K is 3 units away from any point on the circle, making 3 the radius.

Our equation is now ( x - h )^2 + ( y - k )^2 = 3^2

Now, we need to find the coordinate of K; the center point.

K's x is -1 and K's y is also -1.

Our equation is now:

( x - (-1) )^2 + ( y - (-1) )^2 = 3^2

Can someone please help me:(​

Answers

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

[tex]\huge\bf{\color{Green}{Question:}}[/tex]

Find the volume of each solid. Round to the nearest tenth.

[tex]\huge\bf{\color{orange}{Solution:}}[/tex]

Volume of the solid given = Volume of the small cone + Volume of the large cone.

[tex]\sf{V(solid)=V(small)+V(large)}[/tex]

[tex]\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3}π(5)²7+\frac{1}{3}π(5)²11}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(7+11)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(18)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=150π}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:≈{\color{magenta}{471.2 in³}}}[/tex]

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

#Hope it helps you, mate!

(*°∀°)=3

the ratio of the measures of the angles in quadrilateral dogs is 5:8:12:15. find the measure of the largest angle.

Answers

Answer:

135º

Step-by-step explanation:

Total parts

5 + 8 + 12 + 15 = 40

Value of each part; 360º in a quadrilateral

360 / 40 = 9

Largest angle

15 * 9 = 135º

HELP PLS!!

A circle has been divided into 4 equal angles. is each angle acute, obtuse or right?

Answers

Answer:

Right

Step-by-step explanation:

360/4 = 90

90° is a right angle

What is the relation between the variables in the equation
X^4/y=7?

a. x varies inversely as y
b. x4 varies directly as y
c. y varies directly as x4
d. y varies inversely as x4

Answers

Answer:

b. x^4 varies directly as y.

Step-by-step explanation:

x^4 = 7×y

x^4 is proportional to y.

What are the domain and range of this function?

Answers

Answer: Choice DDomain: all real numbersRange: [tex]y \ge 1[/tex]

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

Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < x < \infty[/tex]

-----------------------------------

The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, [tex]y \ge 1[/tex] is the range which converts to the interval notation [tex][1, \infty)[/tex] which is the same as saying [tex]1 \le y < \infty[/tex]

-----------------------------------

Extra info:

The equation of this absolute value function is y = |x|+1

in a rectangle how many opposite sides are equal​

Answers

Answer and Step-by-step explanation:

This is for your other question in case you don't see it.

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

Abby sells beauty products. She has a monthly salary of $1000. She also earns 1%
commission on the first $8000 of her sales for the month and 4% commission on
sales over $8000. What is Abby's gross income for the month if her sales were $12
500

Answers

Answer: $1260

Step-by-step explanation:

Based on the information given, Abby's gross income for the month if her sales were $12500 will be:

= $1000 + (1% × $8000) + [4% × ($12500 - $8000)]

= $1000 + (0.01 × $8000) + (0.04 × $4500)

= $1000 + $80 + $180

= $1260

Her gross income is $1260

These four numbers are plotted on a number line: -2/3 5/8 -3/5 -1/2 Which is the correct ordering on the number line, from left to right?​

Answers

Answer:

-2/3 -3/5 -1/2 3/8

..................……

A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?
21 cm
42 cm
оооо
72 cm
108 cm

Answers

A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?

Answer:-42 cm

Answer:42cm

Step-by-step explanation:

formula=2l+2w

2 (9)+2 (12)

18+24= 42cm

For "downhill" lines, if the rise is negative, the run must be
?

Answers

9514 1404 393

Answer:

  positive

Step-by-step explanation:

When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.

If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.

__

Additional comment

Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.

Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.

it is positive see above answer for reference

Answer for brainlest zzzz

Answers

Hope you understand it ;)

Answer:

A = 42 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 6 = 7 × 6 = 42 cm²

Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?

Answers

Jonah should shade 6 parts of 10 equal parts to show 3/5.

Hope this helps! :)

1)Light travels at the speed of 3,00,000 km in one second ,if it has
already travelled 1,05,342 km, how much more distance is left for the
ray of light to travel?

Answers

Answer:

1,94,658km

Step-by-step explanation:

If you are talking about how much distance it has to travel in 1 second then you can simply subtract 1,05,342 from 3,00,000. This process gives total of 1,94,658km remaining for it to travel.

Goodluck

Find the dicontinuities of the function.
f(x) =
x2 + 12x + 27
x2 + 4x + 3
.
There is a removable discontinuity at
(
,
).

Answers

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

[tex]f(x)=\frac{x^2+12x+27}{x^2+4x+3}[/tex] because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

[tex]f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)}[/tex] and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

The sum of six times a number and the quotient of that number and two is ten.

Answers

Yes it is why do you need help?

6x + x/2

Which algebraic expression best represents this word phrase?

The sum of six times a number and the quotient of that number and two

HELP! POTATOooooooooooooooooooooooo plz

Answers

Answer:

Step-by-step explanation:

i cant see the answer

one half plus one third










Answers

Answer:

0.83333333333

Step-by-step explanation:

One-half plus one-third equals 5/6 or 0.8333.

Given that:

Expression: 1/2 + 1/3

To add one-half (1/2) and one-third (1/3), to find a common denominator and then add the fractions together.

The least common denominator (LCD) of 2 and 3 is 6. To convert the fractions to have a common denominator of 6, multiply the numerator and denominator of 1/2 by 3, and the numerator and denominator of 1/3 by 2:

1/2 × 3/3 = 3/6

1/3 × 2/2 = 2/6

Now that the fractions have a common denominator of 6, add them:

3/6 + 2/6 = 5/6

3/6 + 2/6 = 0.8333

Therefore, one-half plus one-third equals 5/6 or 0.8333.

Learn more about Divisor here:

https://brainly.com/question/30925934

#SPJ6

Two angles are complementary ( the sum of the two angles is 90°). The sum of the first angle plus twice the second angle is 150°. Find the measures of the angles.

Answers

Answer:

30 and 60

Step-by-step explanation:

Let x represent the first angle

(x) the sum of the first angle plus twice of the second angle 2(90 - x)

x + 180 - 2x = 150

180 - 150 = 2x - x (we export like terms to the same side of the equation)

30 = x is the measure of the first angle and since the second angle is complementary to this the measure of the second angle is 90 - 30 = 60

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