Christopher deposited $1 in a savings account earning
10% interest, compounded annually.
To the nearest cent, how much interest will he earn in 3
years?

Use the formula B = p(1 + r)t, where B is the balance (final
amount), p is the principal (starting amount), r is the
interest rate expressed as a decimal, and t is the time in
years.​

Answers

Answer 1

Answer: He would have $1.33 after 3 years glad to help please mark brainliest!

Step-by-step explanation:

using simple interest formula: A = P(1 + r)^t

A= Total amount in 3 years

P=starting total

r=rate of percent as a decimal

t=time in years

A=1(1+0.10)^3

A=1(1+0.10)^3

A=1(1.10)^3

A=1(1.331)

A=1.331

A=1.33

Answer 2

Answer:$1.33

Step-by-step explanation: I did the math myself and i would say yes the person above is correct you should give him brainliest...


Related Questions

amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. the width is 2x + 6 centmeters, and is 4/5 of the length. what are the dimensions of the canvas?

Answers

Answer: 15 4/3

Step-by-step explanation:

Final answer:

To find the dimensions of Amanda's rectangular canvas, we use the fact that the width is 4/5 of the length. By setting up an equation and solving for x, we find that x equals 3. Hence, the canvas measures 15 centimeters in length and 12 centimeters in width.

Explanation:

Amanda uses a rectangular canvas for painting where the length is given as 6x - 3 centimeters and the width is given as 2x + 6 centimeters. The width is also said to be 4/5 of the length. To find the dimensions of the canvas, we must set up an equation using the relationship between the width and the length:

The width is 4/5 of the length: (2x + 6) = (4/5)(6x - 3).Multiply both sides by 5 to clear the fraction: 5(2x + 6) = 4(6x - 3).Distribute and simplify: 10x + 30 = 24x - 12.Subtract 10x from both sides: 30 = 14x - 12.Add 12 to both sides: 42 = 14x.Divide by 14 to solve for x: x = 3.

Once we have the value of x, we can find the dimensions of the canvas:

Length: 6x - 3 = 6(3) - 3 = 18 - 3 = 15 centimeters.Width: 2x + 6 = 2(3) + 6 = 6 + 6 = 12 centimeters.

So, the dimensions of Amanda's canvas are 15 centimeters in length and 12 centimeters in width.

What is the measure of the angle between two consecutive vertices of a
regular decagon (ten-sided shape)? *

Answers

Answer:

36 degrees

Step-by-step explanation:

we know that

The measure of the angle between two consecutive vertices of a  regular polygon is given by the formula

[tex]\frac{360^o}{n}[/tex]

where

n is the number of sides

In this problem

n=10 (regular decagon)

so

[tex]\frac{360^o}{10}=36^o[/tex]

-4(x+ 9) = 24

i need my homework done lol .

Answers

Step-by-step explanation:

[tex] - 4(x + 9) = 24 \\ \\ \therefore \: - 4x - 36 = 24 \\ \\ \therefore \: - 4x = 24 + 36 \\ \\ \therefore \: - 4x = 60 \\ \\ \therefore \: x = \frac{60}{ - 4} \\ \\ \therefore \: x = - 15[/tex]

Equation and Steps:

-4(x + 9) = 24

-4x + -36 = 24
+36. +36

-4x = 60
-4 -4


Answer: x = -15

(I flipped the coins already)
Instructions In this experiment, you will be using two coins as a simulation for a real-world compound event. Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.

1 What is the theoretical probability that the family has two dogs or two cats? Describe how to use two coins to simulate which two pets the family has.

Flip both coins 50 times and record your data in a table like the one below. Result Frequency Heads,

Heads Heads, 9

Tails Tails,26

Heads Tails,26

Tails 15

Total 50
Based on your data, what is the experimental probability that the family has two dogs or two cats?
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

How could you change the simulation to generate data for three pets?

Thank you for your help!!

Answers

Answer:

tails tails 26

Step-by-step explanation:

because the coins might not have different sides the probability of the coin landing on the same side 26 times is understandable

hope this helps

Answer:

Step-by-step explanation:

are you doing flvs? if you answer i can delete thi and help you. i mau be able to help ya out..

Find the surface area of the cone whose radius and height are 2cm and 4cm respectively

Answers

The result is approximately 40.7 cm^2.

To find the surface area of a cone:

Identify the radius and height of the cone.

Use the formula: Surface Area = [tex]pi* r( r + \sqrt{r^2 + h^2} )[/tex], where r is the radius and h is the height.

Substitute the values: Surface Area = [tex]pi * 2(2 + \sqrt{2^2 + 4^2} ) \\= pi * 2(2 + \sqrt{4 + 16} ) \\= pi * 2(2 + \sqrt{20} ) \\= 2 * pi * (2 + 4.47) \\= 2* pi * 6.47[/tex] ≈ 40.7 cm2.

- 7h + 2(-4h +5) > -4h +1 +10. Solve for h​

Answers

Hello.

-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h

Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.

-7h - 8h + 10 > -4h + 11

Add like terms.

-15h + 10 > -4h + 11

Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.

Subtract 10 from both sides. Then, add 4h to both sides.

-15h + 4h > 11 - 10

Simplify.

-11h > 1

Divide both sides by -11.

However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <

-11h ÷ -11 < 1 ÷ -11

h < 1/-11

Therefore, h < -1/11

We are given with an inequality and we need to solve for h . So let's start

[tex]{:\implies \quad \sf -7h+2(-4h+5)> -4h+1+10}[/tex]

[tex]{:\implies \quad \sf -7h-8h+10> -4h+11}[/tex]

[tex]{:\implies \quad \sf -15h+10> -4h+11}[/tex]

Add 4h to both sides

[tex]{:\implies \quad \sf -15h+10+4h> \cancel{-4h}+11+\cancel{4h}}[/tex]

[tex]{:\implies \quad \sf -11h+10> 11}[/tex]

Subtracting 10 from both sides ;

[tex]{:\implies \quad \sf -11h+10-11> \cancel{11}-\cancel{11}}[/tex]

[tex]{:\implies \quad \sf -11h-1> 0}[/tex]

Adding 1 to both sides

[tex]{:\implies \quad \sf -11h-\cancel{1}+\cancel{1}> 1}[/tex]

[tex]{:\implies \quad \sf -11h>1}[/tex]

Now dividing both sides by -11 also , when we divide or multiply an inequality by a -ve , we changes the sign too. So ;

[tex]{:\implies \quad \sf \dfrac{-11h}{-11}< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \sf h< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{h\in \left(-\infty ,-\dfrac{1}{11}\right)}}}[/tex]

A small town had a population 960 people last year. The population grew to 1200 people this year. By what percentage did the population grow?

Answers

Answer:

25%

Step-by-step explanation:

1200/960 = 1.25

So it grew by 25%

How does knowing how to find the area of a
rectangle help you determine the area of other
polygons?​

Answers

Answer:

https://w w w .y o ut u b e. c o m / wa tc h ?v =z 5  0C 1b 2s O5 M

Answer: maybe divide the rectangle

Step-by-step explanation:

To find the answer of polygen

Farmer Fran has 38 barnyard animals consisting of only chickens and goats. If these animals have 116 legs how many of each type of animal are there?

Answers

Answer: There are 20 goats and 18 chikens.

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

If the number of chickens is represented by C, and the number of goats is G.

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

Answer:

chickens is represented by C, and the number of goats is G.

C=18

G=20

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a BLUE skittle is pulled from a bag of skittles? (round to the nearest hundredth)

Answers

Answer:

b

Step-by-step explanation:

Answer:

0.21

Step-by-step explanation:

The senior classes at High School A and High School B planned separate trips to New York City.
The senior class at High School A rented and filled 4 vans and 6 buses with 360 students. High
School B rented and filled 3 vans and 3 buses with 195 students. Every van had the same
number of students in it as did the buses. Find the number of students in each van and in each
bus.

Answers

Use elimination or substitution here
Make children in vans variable V and buses B
4v + 6b =360
-2(3v + 3b = 195) > I multiplied it by -2 so the bs can cross out and I can find the value of v
4v + 6b = 360
-6v -6b = -390
Add straight down
-2v = -30 )))))) v= 15
Now plug in 15 for v in one of the equations above and solve for b
Best of luck!

Including scholarships and financial aid, Brett has $28,000 to spend on

college. If the total cost of his college education is

he will have

enough resources to pay.

O A. $26,000

O B. $32,000

O c. $29,000

O D. $35,000

SUBMIT

Answers

i’m pretty sure it is A

A professor surveys his students about their opinions on how well he taught the course. He puts this survey on the last page of
his final exam. Which type of bias will most likely have the strongest effect on the survey results?
Not all students will have the access needed to find the survey
Students may not truthfully reply because they fear it will affect their grade
Students may not understand the wording used in the survey
Not all students will be represented in the survey sample.

Answers

Students may not truthfully reply because they fear it will affect their grade

Answer:

students may not truthfully reply as they fear it will affect their grade

Step-by-step explanation:

Solve for x

-x + 1 = x + 21

Answers

Answer:

x=-10

Step-by-step explanation:

first put "x" on one side and the constants on the other

the equation becomes 2x=-20 or -2x=20

both cases divide by 2 and the answer becomes x=-10

or if you end up with -x=10 just multiply by -1 and it ends up the same

Mike hiked to a lake in 3.5 hours at an average rate of 3 2/5
miles per hour. Pedro hiked the same distance at a rate of 3 4/5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.

Answers

here it is the whole answer
Final answer:

Mike hiked 11.75 miles to the lake which took Pedro approximately 3.09 hours to cover at his speed.

Explanation:

The subject of this question is mathematics, more specifically the concept of speed, distance, and time. The first step is to calculate the distance that Mike travels. We know that distance equals speed times time, so Mike traveled 3.5 hours * 3 2/5 miles per hour, which equals 11.75 miles. This is the distance to the lake.

Now, we take the same distance and use Pedro's average speed to figure out how long it took him. Using the formula: Time equals Distance divided by Speed, we can calculate Pedro's time as: Time = 11.75 miles / 3 4/5 miles per hour. To simplify the numerical calculation, we turn 3 4/5 into a decimal form, which is 3.8. So, Time equals 11.75 miles / 3.8 miles per hour. This gives us around 3.09 hours, which we would round to 3.09 hours to the hundredths place.

Learn more about Speed, Distance, and Time

https://brainly.com/question/4931057

#SPJ2

DEL
GEGEEL
Kaya is getting older and feels like she should donate her collection of stuffed animals to
children who are less fortunate. She has 46 stuffed cats and 10 stuffed dogs, which she
wants to divide into identical groups, with no stuffed animals left over. What is the greatest
number of groups Kaya can place her stuffed animals into?
CUTE
nn
AX​

Answers

Answer:

2

Step-by-step explanation:

The GCF of 10 and 46 is 2. I hope this helps.

Answer:

The most number of groups she can put it into is 2

Step-by-step explanation:

What Kaya is trying to find the it greatest common factor, or the largest number that can be divided from two numbers.

46 -> 1, 2, 23, 46

10 -> 1, 2, 5, 10

We see that the only two numbers other than 1 match is 2.  This means that the GCF or the greatest common factor is 2.

Answer:  The most number of groups she can put it into is 2

pls help me with #7!! i don’t understand

Answers

The correct answer is b lave flows from a volcano and piles up

At a lake, there are 2 boat rental shops. Shop A charges $210 for a 4-hour rental, and shop B charges $246 for a 6-hour rental. a. Which shop charges more per hour? b. How much more expensive is this shop? Explain how you figured out your answer (thought process). 1
explain in your own words no googling..plz

Answers

Answer:

  Shop A is more expensive by $11.50 per hour

Step-by-step explanation:

I solved this three ways.

1) The difference in time for the two given charges is (6 -4) = 2 hours. The charge at Shop A for 2 hours is half the charge for 4 hours, so its equivalent rate for 6 hours is ...

  Shop A rate for 6 hours = rate for 4 hours + rate for 2 hours

  = $210 +105 = $315 . . . for 6 hours

This is way more than what Shop B charges for 6 hours.

__

2) The difference in the charges is $246 -$210 = $36 for 2 hours difference in time. This is way less than the equivalent charge from Shop A for 2 hours, so the rate from Shop A is definitely higher.

__

3) In order to answer the question, "how much more expensive?" we expect the rate difference will need to be expressed as a per-hour difference.* This means we have to figure the per-hour charge for each Shop and find the difference of them.

  Shop A = $210/(4 h) = $52.50 /h

  Shop B = $246/(6 h) = $41.00 /h

The rate from Shop A is higher by $52.50 -41.00 = $11.50 per hour.

_____

Comments on How Much More

* Using the first method, the rate difference is $315 -246 = $69 for 6 hours.

Using the second method, the rate difference is difficult to express exactly, but we can say the rate difference of $36 for 2 additional hours at Shop B is exceeded by the $105 expected charge for 2 additional hours at Shop A. That difference rate ($36/(2h)) isn't an actual charge anywhere, but represents a way to tell if the slope of one curve is more or less than the slope of the other.

If the rates were the same at the two shops, the charge at Shop B for 6 hours would be $315 as we figured in the first method, so the difference of $315 -210 = 105 would match exactly the increment at Shop A for 2 hours.

Personally, I see the second method as easiest to compute and most telling. However, to answer the question, "how much more expensive is it?", we needed to use one of the other methods.

What is the area of the figure?

Answers

Answer:

48

because area is length time with but because the base is a triangle you have to find the area of the triangle then times it with the width that you have

A box is known to hold exactly 125 in3. Which side dimensions produce the most accurate measurement of the box?

Answers

Answer: 25 and 5 sowwy if i'm wrong.

Step-by-step explanation:

So we know that the box is 125 in3. What ___ times ____ is equal to = 125

So we should name the multiples of 125 which is : 1,5,25,125

25 times 5 is = 125 so there's your answer.

Answer:

4.9 x 5.1 x 5.0

Step-by-step explanation:

I just had this question

(6.25)(1.6) what is the answer

Answers

          6.25     Multiply.

x             1.6

▬▬▬▬▬▬▬▬

                10

Therefore, 10 is our answer.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Learn more:

Multiplying decimals: https://brainly.com/question/13786600

Answer:

10

Step-by-step explanation:

A few changes were made while calculating the product of 6.25 and 1.6.

⇒ (6.25)(1.6) = 6.25 × 1.6

Now, let's calculate the product using long multiplication. (refer to attachment).

At Billy's Burgers, two bacon cheeseburgers and three orders or curly fries would cost $ 16.45. One order of curly fries and three bacon cheeseburgers would cost $ 16.66. What is the cost of one bacon cheeseburger?
I think I leaned how to do this before but I just can not remember how to do this. Please show me how to do this in steps.

Answers

Answer:

Curly fries=$2.29 per order

Bacon=$4.79 per order

Step-by-step explanation:

let b denote bacon and f denote curly fries.

We represent the situations  using inequalities as:

[tex]2b+3f=16.45\ \ \ \ \ ...i\\\\1f+3b=16.66\ \ \ \ \ ...ii[/tex]

#we make f the subject of the formula in ii and substitute in i:

[tex]f=16.66-3b\\\\\#substitute \ in \ i\\\\2b+3f=16.45\\\\2b+3(16.66-3b)=16.45\\\\\\2b+49.98-9b=16.45\\\\-7b=-33.53\\\\b=4.79\\\\f=16.66-3\times 4.79\\\\=f=2.29[/tex]

Hence, one order of curly fries costs $2.29 and one order of bacon costs $4.79

Jake thinks that a rhombus is not always a parallelogram.Is jake correct?

Answers

Answer:

No, a rhombus is a quadrilateral, with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. The opposite interior angles of rhombuses are always congruent. A parallelogram is just a four sided closed shape where opposite sides are parallel.

I hope this helps!

A rhombus is always a parallelogram, and its diagonals are perpendicular. Jake is incorrect in his assertion.

A rhombus is indeed always a parallelogram because a parallelogram is a quadrilateral with opposite sides parallel and a rhombus fits this definition.

To show that the diagonals of a rhombus are perpendicular, we use the fact that the scalar product of perpendicular vectors is zero. By representing the diagonals as vectors, we can demonstrate their perpendicularity.

Therefore, Jake is incorrect in thinking that a rhombus is not always a parallelogram - it is a specific type of parallelogram with additional properties.

Find the 11th term of the geometric sequence 2, -6, 18, ...

Answers

Answer:

-118098

Step-by-step explanation:

Answer: 118098

Step-by-step explanation:

DM

Jack has x pence,
Jill has 6 pence less than Jack.
Write down, in terms of x, the number of pence Jill has.

Answers

Final answer:

The amount of pence Jill has is written as x - 6, where x is the amount of pence Jack has.

Explanation:

If Jack has x pence, and Jill has 6 pence less than Jack, then the number of pence Jill has is x - 6. To express this in terms of x, we simply subtract 6 from x. So if Jack's amount of pence is represented by x, Jill's amount will be represented by the expression x - 6. It's similar to saying that if you have a certain number of something and someone else has 6 less, you would calculate the other person's amount by taking the number you have and subtracting 6 from it.

Ratios equivalent to 3:2

Answers

Answer:

6:4,9:6,12:8,15:10

Step-by-step explanation:

Ratios equivalent to 3:2

3:2 = 3/2

1st equivalent = 3×2/2×2 = 6/4 = 6:4

2nd equivalent = 3×3/2×3 = 9/6 = 9:6

3rd equivalent = 3×4/ 2×4 = 12/8 = 12:8

4th equivalent = 3×5/2×5 = 15/10 = 15:10

I hope this was helpful, please mark as brainliest

Explain how to determine whether the input/output pairs in a table could be related in a linear way.

Answers

Look for patterns in the input and output.

For example
0-0
1- 2
2-4
3-6

So the pattern you see here is increase in 2 each time. So the pattern rule can be that you multiply the input by 2 to get the output.

2. I pay $4.00 for my train fare everyday. This week, my train
fare is increased by 10%. What is my new train fare?
(100% of $4,00) + (10% of 4.00 )
[tex](100 \div of \:80) + (15 \div of \:80)[/tex]

Answers

Answer: the correct option is (100% of $4) + (10% of $4)

Step-by-step explanation:

Check:

100% of $4

= 100/ 100 x 4

= $4, which is stated as the everyday train fare

10% increase = 10/100 × 4

= 0.1 × 4

= $0.4

New train fare = $4 + $0.4

= $4.4

I hope this helps, please mark as brainliest.

The ratio of length , breadth,and height of cuboid is 3:2:1.If the volume of the cuboid is 48 cubic meter,find the base area of the cuboid​

Answers

Base area of the cuboid = 24 square inches

Solution:

Volume of cuboid formula = length × breadth × height

Ratio of l : b : h = 3 : 2 : 1

Let us take length be 3x, breadth be 2x and height be x.

Volume of cuboid = 48 cubic meter

length × breadth × height = 48

[tex]3x\times 2x \times x = 48[/tex]

[tex]6x^3=48[/tex]

Divide by 6 on both sides of the equation.

[tex]x^3=8[/tex]

[tex]x^3=2^3[/tex]

Taking cube root on both sides, we get

x = 2

Base area of the cuboid = length × breadth

                                        = 3(2) × 2(2)

                                        = 6 × 4

                                        = 24

Base area of the cuboid = 24 square inches

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 187 kilograms. A d of 3 large boxes and 2 small boxes has a total weight of 87. How much does each type of box weigh? Pls help

Answers

Answer:

Large Box = 18.5

Small Box = 15.75

Step-by-step explanation:

Let x = large box and y = small box

5x+6y=187

3x+2y=87

cancel out one equation

(5x+6y=187)•3=15x+18y=561

(3x+2y=87)•-5=15x+10y=435

 15x+18y=561

-15x-10y=-435

–––––––––––

 0+ 8y= 126

  8y÷8 =126÷8

y=15.75

Substitute y into either original equation

3x+2(15.75)=87

3x+ 31.5=87

3x+ 31.5-31.5=87-31.5

3x=55.5

3x÷3=55.5÷3

x=18.5

Other Questions
1. What operation is being used in the equation?x + 15 = 22 A local board of education conducted a survey of residents in the community concerning a property tax levy on the coming local ballot. They randomly selected 850 residents in the community and contacted them by telephone. Of the 850 residents surveyed, 410 supported the property tax levy. Let p represent the proportion of residents in the community that support the property tax levy. A 90% confidence interval for p is (Use decimal notation. Give value to four decimal places and "z" value to three decimal places.) A. 0.4489 to 0.5159. B. 0.4542 to 0.5105. C. 0.4487 to 0.5161. D. 0.4463 to 0.5185. The meaning of saving and investment Classify each of the following based on the macroeconomic definitions of saving and investment. Saving Investment Charles purchases a certificate of deposit at his bank. Gilberto takes out a loan and uses it to build a new cabin in Montana. Dina borrows money to build a new lab for her engineering firm. Juanita purchases stock in Goohoo, an information technology company. In 2021, the Westgate Construction Company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2023. Information related to the contract is as follows:2021 2022 2023 Cost incurred during the year $2,400,000 $3,600,000 $2,200,000Estimated costs to complete- 5,600,000 2,000,000 0as of year-end Billings during the year 2,000,000 4,000,000 4,000,000 Cash collections during the year 1,800,000 3,600,000 4,600,000 Assume that Westgate Construction's contract with Santa Clara County does not qualify for revenue recognition over time. 1. Calculate the amount of revenue and gross profit (loss) to be recognized in each of the three years. 2-a. In the journal below, complete the necessary journal entries for the year 2021 (credit "Various accounts" for construction costs incurred). 2-b. In the journal below, complete the necessary journal entries for the year 2022 (credit "Various accounts" for construction costs incurred). 2-c. In the journal below, complete the necessary journal entries for the year 2023 (credit "Various accounts" for construction costs incurred). 3. Complete the information required below to prepare a partial balance sheet for 2021 and 2022 showing any items related to the contract. Prime cost is Group of answer choices direct labor cost and indirect labor cost. indirect materials cost and direct labor cost. direct materials cost and indirect labor cost. direct materials cost and direct labor cost. What is hola in Spanish Write a program that reads a list of integers, and outputs those integers in reverse. The input begins with an integer indicating the number of integers that follow. For coding simplicity, follow each output integer by a space, including the last one. Assume that the list will always contain fewer than 20 integers. Torrie is thinking of starting up a small business selling hand-painted wine glasses. She is considering setting up her business as a sole proprietorship. What is one advantage to Torrie of setting up her business as a sole proprietorship?As a sole proprietor, Torrie would face limited liability. A river is 500 meters wide and has a current of 1 kilometer per hour. if tom can swim at a rate of 2 kilometers per hour at what angle to the shore should he swim if he wishes to cross the river to a point directly opposite bank 1. Rectangle Area The area of a rectangle is calculated according to the following formula: Area=WidthLengthArea=WidthLength Design a function that accepts a rectangles width and length as arguments and returns the rectangles area. Use the function in a program that prompts the user to enter the rectangles width and length, and then displays the rectangles area. According to the text, the "____________ hypothesis" posits that human intelligence was accelerated by the need for humans to develop social skills related to manipulation and deception. We want to achieve a new and better order in society: in this new and better society there must be neither rich nor poor: all will have to work...This new and better society is called a socialist society.2. The above excerpt describes the goals of the a. the Romanov family as rulers of Russia. b. Nazi Party in Germany.c. Communist Revolution in Russia.d. Chinese Nationalist Party. Write an equation to represent the relationship between the step number, n, and the number of dots, y. Beyonce is walking down the hallway when she sees one of her professors. She smiles and waves at him; however, he does not wave in response. As a result Beyonce begins to think that her professor does not like her. Cognitive theory suggests that Beyonce's response is the result of her:_______. Why does Douglass feel reluctant to speak at the anti-slavery convention in Nantucket? A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 20.0 m>s. A 1.0-kg stone is thrown from the basket with an initial velocity of 15.0 m>s per- pendicular to the path of the descending balloon, as measured relative to a person at rest in the basket. That person sees the stone hit the ground 5.00 s after it was thrown. Assume that the balloon continues its downward descent with the same constant speed of 20.0 m>s. (a) How high is the balloon when the rock is thrown What is true of voter turnout in the United States?O A. Voter turnout between 1992 and 2012 increased toabove 70 percent in presidential elections.O B. Voter turnout is higher for midterm than forpresidential elections.O c. Voter turnout between 1994 and 2014 was under 50percent in midterm elections.O D. Voter turnout is higher in the United States than inmost other democracies. Which of the following illustrates a complex virus? The two aluminum rods AB and AC with diameters of 10 mm and 8 mm respectively, have a pin joint at an angle of 45.Determine the largest vertical force P that can be supported at the joint. The allowable tensile stress for the aluminum is 150 MPa. 4. The average kinetic energy of water molecules is greatest inO liquid water at 273 KO ice at 0CO liquid water at 90CO steam at 100C