If a person invests $290 at 6% annual interest, find the approximate value of the investment at the end of 15 years. A. $450 B. $2030 C. $695 D. $707

Answers

Answer 1

Answer:

[tex]\large \boxed{\sf \bf \ \ C. \ \$ 695 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

At the beginning, we have $290.

After 1 year, we get 290 + 6% * 290 = 290 (1+0.06)= 290 * 1.06

After n years, we get [tex]290\cdot 1.06^n[/tex]

So after 15 years, we get.

[tex]290\cdot 1.06^{15}=695.0018...[/tex]

Thank you


Related Questions

identify the terms of each expression 7 + 5 p + 4r + 6 s ​

Answers

13+5p+4r you add 7+6=13 then you bring down the rest

This data set is ages at first job. 14, 14, 16, 16, 17, 17, 18, 20, 21, 23 Construct a boxplot. Make sure to include labels.

Answers

Answer:

Please find attached the required box and whiskers plot

Step-by-step explanation:

The numbers are given in arranged order as follows;

14, 14, 16, 16, 17, 17, 18, 20, 21, 23

The five number summary are;

The minimum value = 14

The maximum value = 23

The first quartile, Q₁, is the (n + 1)/4th term or the 2.75th term  = 14 + 0.75×(16 - 14) = 15.5

The second quartile, Q₂, (the median) is the  (n + 1)/2th term or the 5.5th term = 17

The third quartile, Q₃, is the  3(n + 1)/4th term or the 8.25th term  = 20 + 0.25×(21 - 20) = 20.25.

Find the measure of b.

Answers

Answer:

b = 80°

Step-by-step explanation:

The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.

Thus, the angle is = 80°

Therefore, b + 80° = 180° (angle on a straight line = 180°).

Thus, b = 180° - 80° = 100°.

The measure of b is 80°.

blake bought two iced coffees at dutch bros. He originally had $13.50 and now has $9 Write and solve an equation to find out how much each iced coffee cost

Answers

Equation: 13.50-2x=9 or 9=13.50-2x

Solve:
13.50-2x=9
-13.50 -13.50
—————————
-2x= -4.50
—— ———
-2. -2

X= $2.25
each coffee costs $2.25

You can check by putting 2.25 into the equation 13.50-2x=9
13.50-2(2.25)=9
13.50-5.50=9
9=9

if he had $13.50 and now he has $9 all you have to do is minus $13.50 by 9 like this 13.50-9=4.50 the ice coffee costs $4.50 simple.

If you still have a question and don't understand this please ask again thank you.

¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?

Answers

Answer:

El área del rectángulo es:

27 cm²

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura + base)

Planteamiento:

24 = 2(a+b)

b = 3a

a = longitud de la altura del rectángulo

b = longitud de la base del rectángulo

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

24 = 2(a + 3a)

24/2 = 4a

12 = 4a

a = 12/4

a = 3 cm

de la segunda ecuación del planteamiento:

b = 3a

b = 3*3

b = 9 cm

Comprobación:

de la primer ecuación del planteamiento:

24 = 2(3+9)

24 = 2*12

Respuesta:

la formula del área de un rectángulo es:

A = base * altura

A = 9cn * 3cm

A = 27cm²

The Area of rectangle is 27 unit².

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter = 24 cm

let the height of rectangle be x.

then the base= 3x

Now, Perimeter of rectangle= 2 ( l + w)

24 = 2( x+ 3x)

12 = 4x

x= 12/4

x= 3 units

So, length= 9 units and width= 3 units

Thus, Area of Rectangle= l x w

                                       = 9 x 3

                                       = 27 unit²

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The translated Question is:

What is the area of a rectangle, knowing that its perimeter measures 24 cm and that its base is three times its height?

Please Explain step-by-step

An algebra class contains 30 students. Forty
percent of the students in the class are girls. How
many boys are in the class?

Answers

Answer:

algebra es muy buena materia

So the 30 students as a percent would be 100, so when solving this problem you would put the 40 over the 100. Now you have to multiply 30 times 40 and divide by a 100, which would equal 12. 12 is how many girls there is so now you have to subtract 30 and 12 which would equal 18. Theres 18 boys in the class.

In the 2004 Olympic games Russia, China and the United States won a total of 96 gold medallions if the United States won 4 more medals than China and the medals achieved by the United States and Russia are twice those obtained by China determine the number of gold medals won by Russia

Answers

Answer:

28

Step-by-step explanation:

x = medals won by Russia

y = medals won by China

z = medals won by United States

Write a system of equations:

x + y + z = 96

z = y + 4

x + z = 2y

Substitute the second equation into the first and third:

x + y + y + 4 = 96

x + y + 4 = 2y

Simplify:

x + 2y = 92

x + 4 = y

Substitute for y:

x + 2(x + 4) = 92

x + 2x + 8 = 92

3x = 84

x = 28

Russia won 28 medals.

Which means China won 32 medals and the US won 36 medals.

Convert to slope-intercept from: y-3=6(x-5)

Answers

Answer:

y = 6x -27

Step-by-step explanation:

y-3=6(x-5)

Distribute

y-3 = 6x-30

Add 3 to each side

y-3+3 = 6x-30+3

y = 6x -27

This is in slope intercept form  y=mx+b where m is the slope and b is the y intercept

Hey there! I'm happy to help!

Slope intercept form is y=mx+b. So, the first thing we want to do is isolate y on side of the equation.

y-3=6(x-5)

We use distributive property to undo parentheses.

y=3=6x-30

We add 3 to both sides.

y=6x-27

Now, this in slope intercept form.

Have a wonderful day! :D

A geometric sequence has a common ratio of 22 and the 12th12th term is −12,288.−12,288.

What is the explicit rule that describes this sequence?

Answers

Answer:

Tₙ = -3(2)ⁿ

Step-by-step explanation:

The explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹ where;

a is the first term of the geometric sequence

r is the common ratio

n is the number of terms

If a geometric sequence has a common ratio of 2 and the 12th term is −12,288, then;

T₁₂ = ar¹²⁻¹

T₁₂ = ar¹¹

Given T₁₂ = -12,288 and r = 2, we can calculate the first term a

-12,288 = a2¹¹

a = -12,288/2¹¹

a =  -12,288/2048

a = -6

Since the explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹, then for the sequence given, the explicit rule will be;

Tₙ = -6(2)ⁿ⁻¹

Tₙ = -6 * 2ⁿ * 2⁻¹

Tₙ = -6 * 2ⁿ * 1/2

Tₙ = -3(2)ⁿ

Hence the explicit rule that describes this sequence is Tₙ = -3(2)ⁿ

what is the solution set

Answers

Answer:

b>11/13

Step-by-step explanation:

The way they use solution set is misleading

just think of it as "the answer"

8b-8>3-5b

13b>11

b>11/13

Answer:

Which properties of systems does a robot have? Which does it not have?

Step-by-step explanation:

Chad and his family went to the beach. First, they swam in the ocean for 1 hour and 15 minutes. Then they built sand castles for 45 minutes and played volleyball for 1 hour and 30 minutes. When they finished playing volleyball, it was 3:30 P.M. What time did Chad's family get to the beach?

Answers

Answer:

12:00

Step-by-step explanation:

so if you add up all the time they were there like this 1 hour + 15 +45+1 hour +30 you will get 3 hours and 30 minutes so then you subtract the the time from the  time like this 3:30 so they went at 12:00

HELP ASAP WILL MARK BRAINLIEST!!!!!! Use the number line​ below, where ​RS=9y+2, ST = 4y+9 and RT = 115. a. What is the value of​ y? b. Find RS and ST. a. What is the value of​ y?

Answers

Answer: y = 7

Step-by-step explanation:

Identify the terms, like terms, coefficients and constants of the following expressions: a) 9 − z + 3 − 2z b) 7 − 5b + 1 terms: _____________ terms: ______________ like terms: ______ like terms: _______ coefficients: _____ coefficients: _____ constants: ______ constants: ______

Answers

Answer:

See below.

Step-by-step explanation:

a) 9 − z + 3 − 2z                             b) 7 − 5b + 1

terms: 9, -z, 3, -2z                          terms: 7, -5b, 1

like terms: 9 & 3; -z & -2z              like terms: 7 & -1

coefficients: -1, -2                           coefficients: -5

constants: 9, 3                                constants: 7, 1

 

Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 8x + 16 In which direction and by how many units should f(x) be shifted to match g(x)? Left by 4 units Right by 4 units Left by 8 units Right by 8 units

Answers

Answer:

Shift right by 4

Step-by-step explanation:

Given f(x)=x^2

g(x)= x^2-8x+16

Using

Horizontal Shift theorem dealing with the question

If the graph were to be move to to the right, we must use of graph f (x-L)

Where L= 4 and

NOTE:

POSITIVE L MAKES GRAPH SHIFT RIGHT

2) NEGATIVE MAKES GRAPH SHIFT LEFT

g(x)= x^2-8x+16

If we factorize this we have

(x-4)(x-4)

Since the two terms are the same we have (x-4)^2

Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function

Answer:

Left by 4

Step-by-step explanation:

graph x^2 and x^2 − 8x + 16 on Desmos . com

you start at f(x) and end at g(x)

the angles of traingle are in the ratio 3:7:8 find them in degrees as well as in radians​

Answers

30°, 70°, and 80°.
It is an acute-angled triangle.
Explanation:
The ratio of the measures of ∠s in Δ is 3:7:8.
So, let us suppose that the measures are, 3k, 7k, 8k.
Evidently, their sum is
180°.

3k+7k+8k=180
18k=180
k= 10

Hence, the measures are,
30°, 70°, and 80°.
As all the angles are acute, so is the triangle.

I need help please so if you could help that would be nice. Also i will make brainliest

Answers

No it is not a function. You have to be able to write y=mx+b

A trader bought a bag for 125gh cedis. he later sold it at a profit of 30%. What is his selling price

Answers

Answer:

162.5 Cedis

Step-by-step explanation:

Cost Price= 125

Profit % = 30%

Selling price=?

Selling price= Cost price+ profit

Profit = ?

[tex]profit \% = \frac{profit}{cost \: price} \times 100[/tex]

[tex]30 \% = \frac{x}{125} \times 100[/tex]

[tex]30 \% = \frac{100x}{125} \\ 30 \times 125 = 100x[/tex]

[tex]3750 = 100x \\ \frac{3750}{100} = \frac{100x}{100} \\ x = 37.5[/tex]

Profit = 37.5 gh Cedis

Selling price= 125+37.5

Selling price= 162.5 gh Cedis

The selling price of a bag is 162.5Cedis.

It is required to find the selling price.

What is profit?

The profit is defined as the amount gained by selling a product, and it should be more than the cost price of the product.

Given that :

Let the profit be x.

Cost Price= 125

Profit % = 30%

profit%=profit/cp*100

30=profit/125*100

3750=100x

x=37.5

profit=37.5

Selling price= Cost price+ profit

Selling price=125+37.5

Selling price=162.5ghcedis

So, the selling price of a bag is 162.5Cedis.

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If f(x) = 3x^2 + 2 and g(x) = x^2- 9, find (f-g)(x).
O A. 4x2 - 7
O B. 2x2 +11
O c. 2x2 - 7
O D. 4x2 +11

Answers

Answer:

[tex] \boxed{\sf B. \ 2x^{2} + 11} [/tex]

Given:

f(x) = 3x² + 2

g(x) = x² - 9

To Find:

(f - g)(x)

Step-by-step explanation:

[tex]\sf (f -g)(x) = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x^{2} + 2) - (x^{2} - 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x^{2} + 2 - x^{2} + 9 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x^{2} - x^{2} + 2 + 9 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x^{2} - x^{2}) + (2 + 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x^{2} + (2 + 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x^{2} + 11 [/tex]

In a group of 25 people, only three languages are spoken – English, Spanish and German. If there is at least one person who speaks all the three languages, how many people can interact with each other in English and German? 4 people speak two languages but do not speak Spanish One fifth of the group speaks more than one language.

Answers

Answer:

x + a=5

Step-by-step explanation:

Let

number of people who speak only English = E

the number of people who speak only German = G

the number of people who speak only Spanish = S

the number of people who speak only English & German but not Spanish = x

the number of people who speak only English & Spanish but not German = y

the number of people who speak only German & Spanish but not English = z;

the number of people who speak only German & Spanish & English = a

Find the the value of (x + a).

Statement 1: 4 people speak two languages but do not speak Spanish.

x = 4.

x+a

Value for a is unknown.

(x + a). Insufficient.

Statement 3: One-fifth of the group speaks more than one language.

x + y + z + a

= 25/5

= 5

value of (x + a) unknown

Insufficient.

Putting (1) and (2) together

x + y + z + a = 5

x = 4 and a=1,

we have only one possible solution from

x + y + z + a = 5

x + a

= 4 + 1

= 5.

Sufficient.


what is meaning of rate?

Answers

Answer:

1.a measure, quantity, or frequency, typically one measured against another quantity or measure.

Step-by-step explanation:

2.a fixed price paid or charged for something.

Answer:

a measure, quantity, or frequency typically one measured against another quantity or measure.

Assign a standard or value to (something) according to a particular scale.

The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals is normally distributed. a. Find the probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years. b. Find the mean data value that separates the top 10% from the rest of the means computed from a random sample of size 5.

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = 70 years, standard deviation (σ)= 5.5 years.

a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:

[tex]z=\frac{x-\mu}{\sigma}[/tex], for a sample size of n, the z score is: [tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.

For x = 60:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07[/tex]

For x = 80:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07[/tex]

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%

b) The z score that corresponds to top 10% is -1.28.

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\-1.28=\frac{x-70}{5.5/\sqrt{5} }\\ x-70=-3\\x=70-3\\x=67\ years[/tex]

Which equation can be used to solve the problem?
75 percent of what number is 150?
O
75 x 1
150 x 1
75
150
150 x 2 300
75x2 150
200x2 400
75 x2 150
75 x 2
100 x 2
150
200

Answers

Answer:

see below

Step-by-step explanation:

75%   of what number is 150

75          150

----- =  ---------

100       x

75*2 = 150

So multiply the left by 2/2

75*2          150

----- =  ---------

100*2       x

150

------

200

Answer:

The last question

Step-by-step explanation:

I took the test

What are three collinear points on line l?

points A, B, and F
points A, F, and G
points B, C, and D
points B, F, and G

Answers

Answer:

Points A, F, and G are three collinear points on line l.

Step-by-step explanation:

Answer:

Points A, F and G

Step-by-step explanation:

Answer ASAP please, Will give brainliest.

Answers

Answer:

see below

Step-by-step explanation:

The measure of a minor arc is the same as the angle that forms it.

1. Since ∠GBJ = 90°, the answer is 90°.

2. ∠HBI = 180° - 151° = 29° so the answer is 29°.

3. ∠HBJ = 180° so the answer is 180°.

4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/

5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.

6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.

In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.

Answers

So u have 5 fruits and 3 bowls

Divide 5 into 3 that would equal how many grams you would put in one bowl then measure that and then complete it by adding that amount into each bowl

Xia Paul pale dye all’s shh eke eve when’s

Help please. Thank you

Answers

Answer:

D

Step-by-step explanation:

To figure out which ones is 15% of the number, we want to divide the number on the left of ratio, by the number on the right.

4/15=26%

5/33=15.15%

3/25=12%

1.5/10=15%

Answer:

[tex]\large \boxed{\mathrm{D. \ 1.5:10}}[/tex]

Step-by-step explanation:

4 is not 15% of 15.

15% × 15 = 2.25

5 is not 15% of 33.

15% × 33 = 4.95

3 is not 15% of 25

15% × 25 = 3.75

1.5 is 15% of 10.

15% × 10 = 1.5

Let ​f(x)=x2+10x+37​ . What is the vertex form off(x)? What is the minimum value off(x)? Enter your answers in the boxes. Vertex form: f(x)= Minimum value of f(x):

Answers

Answer:

The vertex form is f(x) = (x + 5)² + 12

The minimum value of f(x) is point (-5, 12)

Step-by-step explanation:

1) The vertex form of a quadratic equation f(x) = x² + 10·x + 37,  which is the form f(x) = a·(x - h)² + k is found as follows;

For the general form of the quadratic equation, f(x) = a·x² + b·x + c

h = -b/(2·a) and k = f(h)

Therefore, for f(x) = x² + 10·x + 37,

a = 1, b = 10

∴ h = -10/2 = -5

k = f(-5) = (-5)² + 10×(-5) + 37 = 12

The vertex form is f(x) = a·(x - h)² + k gives;

f(x) = 1·(x - (-5))² + 12 = (x + 5)² + 12

The vertex form is f(x) = (x + 5)² + 12

2) The minimum value of x is found when d(f(x))/dx = 0

d(f(x))/dx = d(x² + 10·x + 37)/dx = 2·x + 10

d(f(x))/dx = 0 = 2·x + 10

x = -10/2 = -5

We check that it is the minimum by f''(x) being positive;

f''(x) = d(2·x + 10)/dx = 2 which is positive and x = -5 is the x-coordinate of the minimum value of f(x)

The x-coordinate of the minimum value of f(x) minimum value is f(-5) = (-5)² + 10×(-5) + 37 = 12

Therefore, we have;

The minimum value of f(x) = (-5, 12)

Answer:

The vertex is (-5,f(-5)=12), The minimum value of f(x) is 12.

Bethany sells roses and petunias. The expression 3r+2.5p3r+2.5p3, r, plus, 2, point, 5, p gives the cost (in dollars) of rrr roses and ppp petunias. What is the cost of 777 roses and 888 petunias? \$$dollar sign

Answers

Answer: The cost of 7 roses and 8 petunias is $41.

Step-by-step explanation:

Given, Bethany sells roses and petunias. The expression [tex]3r+2.5p[/tex], gives the cost (in dollars) of r roses and p petunias.

Now  to find the cost of 7 roses and 8 petunias , put r= 7 and p= 8 in the above expression , we get

[tex]3(7)+2.5(8)=21+20\\\\=41[/tex]

Hence, the cost of 7 roses and 8 petunias is $41.

You see Bonnie rock climbing El Capitan. On your telescope is a clinometer. The angle
of elevation is 20 degrees. You know you are standing 950 feet away from El Capitan.
How high up is Bonnie?

Answers

Answer:

≈ 345.8 ft

Step-by-step explanation:

There is a right triangle formed by Bonnie's height (h) the ground and the angle of elevation.

Using the tangent ratio in the right triangle

tan20° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{950}[/tex] ( multiply both sides by 950 )

950 × tan20° = h , thus

h ≈ 345.8 ft ( to 1 dec. place )

what is a coterminal angles

Answers

Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.

Other Questions
The relative value of grains for animals is determined primarily by metabolizable energy and crude protein content. From the information below, which grain is the best choice for feeding swine?Grain Crude Protein Metabolizable Energy $ Per TonBarley 13.00% 3.000 kcal/kg 170Corn 10.00% 3.600 kcal/kg 160Grain sorghum 12.00% 3,200 kcal/kg 140Wheat 14.00% 3,400 kcal/kg 180 A food manufacturer reports the following for two of its divisions for a recent year. ($ millions) Beverage Division Cheese Division Invested assets, beginning $2,680 $4,473 Invested assets, ending 2,602 4,409 Sales 2,690 3,934 Operating income 358 643Required:1. Compute return on investment. 2. Compute profit margin. 3. Compute investment turnover for the year.Assume that each of the company's divisions has a required rate of return of 8%. Compute residual income for each division. which of the following best describes the maya civilization`s region How is power distributed in a Confederal System? Use a definition, postulate, or theorem to find the value of x in the figure described. Point E is between points D and F. If DE = x 3, EF = 6x + 5, and DF = 8x 3, find x. Select each definition, postulate, or theorem you will use. A)definition of segment bisector B)definition of midpoint C)Linear Pair Theorem D)Segment Addition Postulate The solution is x =? A student finds that the mass of 25mL of an unknown liquid is 20.5g. What is the density of this substance? A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number. Smith Company learned that several other shippers in its hometown had customers located in the same markets that it serves. With this information, Jones should investigate the possibility of: Can someone please help I don't understand. Determine the domain and range of the following function. Record your answers in set notation. The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is = -0.363 +94.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables. Video Games (Minutes) Time with Family (Minutes)40 8055 7570 6985 64Required:a. According to the line of best fit, what would be the predicted number of minutes spent with family for someone who spent 36 minutes playing video games? b. The predicted number of minutes spent with family is:_________ Four different animals live in the forest. They sleep during the daytime and hunt at night. They have similar physical characteristics but their skin colors are different as shown in the following table. Animal Skin Color A White B Brown with white spots C Dark brown D Black and white stripes Which animal is least likely to be captured by predators? Animal A Animal B Animal C Animal D Please Help French! Pronouns I have 4 questions here so i added more points please help all four! help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes? What expression do you use when you answer someone who asked for your name? (1 point) Piercy, LLC, has identified the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 $ 68,000 $ 68,000 1 44,000 30,200 2 38,000 34,200 3 25,000 40,000 4 15,600 24,200 a-1. What is the IRR for each of these projects? The graph below represents which of the following functions? What name did the pro slavery rebel states take on when they broke from the United States? A. Dixie B. The Mason-Dixie line C. The Confederate States of America D. The Rebel States of America You are the lucky student of a wacky professor who develops a time machine. He asks if you will test it with him. You get in and there is an immediate glitchthe date readout fails so that when you land you are not sure what era you are in. As your time machine lands, you see an unusual landscape before you. As you open the door you realize you cannot breathe. You quickly shut the door, realizing you are in the _____.1) Archaean eon2) Cambrian period3) Cenozoic era4) Mesozoic era Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? One Step, Inc., is trying to determine its cost of debt. The firm has a debt issue outstanding with 27 years to maturity that is quoted at 105 percent of face value. The issue makes semiannual payments and has a coupon rate of 4 percent.Requried:a. What is the company's pretax cost of debt?b. If the tax rate is 23 percent, what is the aftertax cost of debt?