An investment of $2000 is put in account that earns 4% interest, compounded quarterly. Find the amount of money, rounded to the nearest dollar, in the account after
8 years.
Use the formula A = P(1+r/n)^nt to help you find the answer.

Answers

Answer 1

Answer: $275

Step-by-step explanation:


Related Questions

find the bearing of a from b
find the bearing of b from a​

Answers

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 22% and 32% of the residents supports the plan. What is the margin of error on the survey? Do not write ± ± on the margin of error.

Answers

Answer:

[tex]\Huge \bold{\boxed{\boxed{\text{5\%}}}}[/tex]

Step-by-step explanation:

To calculate the margin of error for the survey, we need to use the formula:

[tex]\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}[/tex]

The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:

[tex]\large \text{Range of values = 32\% - 22\% = 10\%}[/tex]

Substituting this value into the formula, we get:

[tex]\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}[/tex]

Therefore, the margin of error on the survey is 5%.

Find the value of 3a when a = -4.
(b)- 7
(d) -12
(a) 7
(c) 12​

Answers

Answer:

(d) -12

Step-by-step explanation:

3a = _____

a = -4

3(-4) = ___

3(-4) = -12

The answer is (d) -12

In the equation, y = 2 sin
000
A
B
с
O
1
x, which statements are true? Select all that apply.
2
The period is 4π
The amplitude is 2
The period is
1
2
76
The amplitude is-
2

Answers

The period of the function is 4π, and the amplitude is 2.

Given data ,

Let the function be represented as f ( x ) = y

Now , the value of f ( x ) is

y = 2sin ( 1/2 )x

To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).

In this case, the amplitude (A) is 2.

The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.

To find the period, we can use the formula:

Period = (2π) / |B|.

B = 1/2.

Period = (2π) / |1/2|

P = (2π) / (1/2) = 2π * 2/1 = 4π

Hence , the period of the function is 4π, and the amplitude is 2.

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How could you estimate the extra cost per month of borrowing $50,000 for 30 years at 11% instead of 10%?

Answers

Borrowing $50,000 for 30 years at 11% instead of 10% would result in an extra cost of approximately $44.63 per month.

To estimate the extra cost per month of borrowing $50,000 for 30 years at 11% instead of 10%, you can follow these steps:

Calculate the monthly payment for each interest rate:

The formula to calculate the monthly payment for a fixed-rate loan is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M is the monthly payment,

P is the principal amount (loan amount),

r is the monthly interest rate (annual interest rate divided by 12),

n is the total number of monthly payments (number of years multiplied by 12).

Let's calculate the monthly payment at 10% interest rate first:

P = $50,000

r = 10% / 100 / 12 = 0.0083333 (monthly interest rate)

n = 30 years * 12 = 360 (total number of monthly payments)

M1 = $50,000 * (0.0083333 * (1 + 0.0083333)^360) / ((1 + 0.0083333)^360 - 1)

Calculate the monthly payment at 11% interest rate using the same formula:

P = $50,000

r = 11% / 100 / 12 = 0.0091667 (monthly interest rate)

n = 30 years * 12 = 360 (total number of monthly payments)

M2 = $50,000 * (0.0091667 * (1 + 0.0091667)^360) / ((1 + 0.0091667)^360 - 1)

Calculate the difference in monthly payments:

Extra cost per month = M2 - M1

Now let's perform the calculations:

M1 ≈ $446.92 (monthly payment at 10% interest rate)

M2 ≈ $491.55 (monthly payment at 11% interest rate)

Extra cost per month = $491.55 - $446.92 ≈ $44.63

Therefore, borrowing $50,000 for 30 years at 11% instead of 10% would result in an extra cost of approximately $44.63 per month.

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Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?

No. There are x values which map to more than 1 y-value.

Yes. Every y-value maps to exactly 1 x-value.

No. There are y-values which map to more than 1 x-value.

Yes. Every x-value maps to exactly 1 y-value.

Answers

No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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a) Write a direct variation equation that represents the situation of a group of snow geese migrating 375 miles in 7.5 hours.
C
b) Every year geese migrate 3,000 miles from their winter home in the southwest United States to their summer home in the Canadian Arctic. How many hours of
flying time does it take the geese to migrate? (Use your equation from part a)

Answers

Answer:f=60a(60)

hope this helps bye

can everyone help idek how to do this?

Answers

The perimeter of the tri9angle MNO is P = 58 units.

How to find the perimeter of the triangle?

The perimeter of the triangle is equal to the sum of the lengths of the sides, we know that:

OM = 23

NM = 18.4

To find the missing side we can use the similar triangle that we have next to it.

We can see that that OM is correspondent to LJ

Then if the scale factor between the triangles is K, we can write:

18.4  = 10*K

18.4/10 = K = 1.84

Now, NO is correspondent to KL, then:

NO = 1.84*9

NO = 16.6

Then the perimeter is:

P = 16.6 + 23 + 18.4

P = 58 units.

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Type the correct answer in each box. Use = 3.14 and, if necessary, round your answers to the nearest hundredth.
The area of the largest cross section of a sphere and the circumference of the sphere are in the ratio 4: 1.
The radius of the sphere is
cm. The circumference of the sphere is about
cm². The volume of the sphere is about
cm³
cm. The area of the largest cross section is about

Answers

The radius of the sphere is 2cm

The circumference of the sphere is about 12.56 cm

cm²

The volume of the sphere is about 33. 5cm³

How to determine the value

From the information given, we have that;

We have that the largest cross sectional area of the sphere takes the value

πr²

The circumference of the sphere = 2πr

Equate the expressions;

2πr = πr²

in the ratio of 4: 1

2πr = 4πr²

Divide the values

r =2cm

Substitute the value to determine the circumference of the sphere, we get;

Circumference = 2 × 3.14 × 2

Multiply the values, we get

Circumference = 12.56 cm

The volume of the sphere is represented as;

=4/3 ×  3.14 × (2)³

Multiply the values, we have;

=4/3 × 3.14 ×8

Multiply the values, we get;

= 33. 5cm³

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Color Payout
Red $2
Blue $6
Green $6
Yellow $20
The game costs $5 to play. You win money based on the color the spinner lands on (the spinner can land on any color, not just green).
Payouts are as follows:
Find the expected value of the following game to the player.
Express your answer in dollars
rounded to the nearest cent (e.g.
$3.50)

Answers

The probability of choosing the expected value of games is

a) P ( G ) = 1/4

b) P ( R ) = 3/8

c) P ( B ) = 1/4

d) P ( Y ) = 1/8

Given data ,

Color Payout

Red $2

Blue $6

Green $6

Yellow $20

Now , game costs $5 to play and you win money based on the color the spinner lands on

On simplifying , we get

The number of yellow spinner = 1

The number of blue spinner = 2

The number of green spinner = 2

The number of red spinner = 3

So , the probabilities are

a) P ( G ) = 1/4

b) P ( R ) = 3/8

c) P ( B ) = 1/4

d) P ( Y ) = 1/8

Hence , the probability is solved

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please help! thank uu~ :)

Answers

Answer:

look at explanation

Step-by-step explanation:

it's a 50/50 chance

What is the answer???

Answers

Answer:

2ab(b + 4 - 3a)

Step-by-step explanation:

a^2b + 2ab^2 + 8ab - 7a^2b

= 2ab^2 + 8ab + a^2b - 7a^2b

= 2ab^2 + 8ab - 6a^2b

= 2(ab^2 + 4ab - 3a^2b)

= 2a(b^2 + 4b - 3ab)

= 2ab(b + 4 - 3a)

I need help please!!!

Answers

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

How to solve differences?

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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Precalc question below.

Answers

The number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.

We have,

To determine the number of additional copies you could ship if you ordered 128 copies instead of 127 copies, we need to compare the costs of ordering each quantity using the given function C(n).

For n = 127:

C(127) = $6.91 x 127 = $878.57

For n = 128:

C(128) = $5.16 x 128 = $660.48

By subtracting the cost of ordering 127 copies from the cost of ordering 128 copies, we can determine the cost difference:

Cost difference = C(128) - C(127)

= $660.48 - $878.57

= -$218.09

Since the cost difference is negative, it means that ordering 128 copies is cheaper than ordering 127 copies.

However, the question asks for the number of additional copies, so we need to consider the whole number of copies.

Rounding down to the nearest whole copy, the number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.

Thus,

The number of additional copies you could ship by ordering 128 instead of 127 copies is 0 copies.

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Find the perimeter of the shaded figure

Answers

The perimeter of the shaded figure is 21.42 units.

Given that, radius of two congruent circles is 3 units.

Dimensions of rectangle are length=6 units and width=3 units.

The formula to find the arc length of a circle is θ/360° ×2πr.

Here, arc length = 90°/360° ×2×3.14×3

= 0.25×2×3.14×3

= 4.71

Arc length of two congruent circles = 2×4.71

= 9.42 units

Perimeter = 9.42+6+6

= 21.42 units

Therefore, the perimeter of the shaded figure is 21.42 units.

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Will mark brilliance

17. What is the value of y in ADEF?
D
7y +14
F
jo
9y+2
DE

Answers

Answer:

  y = 6

Step-by-step explanation:

You want the value of y, given the sides of isosceles triangle DEF are marked as (7y +14) and (9y +2).

Isosceles triangle

The sides of an isosceles triangle are congruent, so we have ...

  FD = FE

  7y +14 = 9y +2

  12 = 2y . . . . . . . . . . subtract 7y+2

  6 = y . . . . . . . . . divide by 2

The value of y is 6.

__

Additional comment

We know this triangle is isosceles for a couple of reasons. One is that the altitude is a perpendicular bisector of the base. Another is that the two smaller triangles are congruent by the SAS (or LL) postulate, making FD = FE by CPCTC.

<95141404393>

Which expression is equal to 3√5/√11

A.√33/5
B.3√55/11
C.3√55/√11
D.O√55/11

Answers

Answer:

B

Step-by-step explanation:

3√5/√11 = 2.02

3√55/11 = 2.02

so,

3√5/√11 = 3√55/11

5. Jamal is taking a road trip. He plans to travel a total of 350 miles over the course of 8 days. If he plans on driving an equal amount each day, how far will he travel each day? Solve and check!​

Answers

Answer: 43.75 miles per day.

Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.

Which expression is equivalent to?

Answers

The expression that is equivalent to the given variables above would be =y¹²/5. That is option A.

How to determine the expression that is equivalent?

To determine the expression that is equivalent to the given variable above, the following steps needs to be taken as follows;

That is:

= 9x⁵y¹⁶/45x⁵y⁴

Divide the whole numbers using 9 for both the numerator and denominator.

= x⁵y¹⁶/5x⁵y⁴

To solve for x':

= X(5-5 = 0)

To solve for y':

= y(16-4= 12)

Therefore the equivalent = =y¹²/5

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The value of China's exports of automobiles and parts (in billions of dollars) is approximately
f(x) = 1.8208e0.33872, where x = 0 corresponds to 1998. In what year did/will the exports reach
$11.2 billion?
Give your answer as the year with at least one decimal place

Answers

The export will reach $11.2 billion in 5.4 years or in the year 2013 from the given function.

Given that,

The value of China's exports of automobiles and parts (in billions of dollars) is approximately,

f(x) = 1.8208 e^(0.33872x)

We have to find the value of x, when f(x) = $11.2 billion

11.2 = 1.8208 e^(0.33872x)

6.15 = e^(0.33872x)

Taking logarithms on both sides,

ln (6.15) = 0.33872x ln (e)

ln (6.15) = 0.33872x

x = 5.36 ≈ 5.4 years.

The value will reach 11.2 billion after 5.4 years which is in the year 2013.

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What is the slope below

Answers

Answer: -5/4

Step-by-step explanation:

A bottle holds 750 milliliters of iced tea.
I fluid ounce 30 milliliters
Approximately how many fluid ounces of iced tea does the bottle hold, rounded to the nearest whole number?

Answers

The number of fluid ounces of iced tea does the bottle hold is 25.

Given that, a bottle holds 750 milliliters of iced tea.

1 fluid ounce has 30 milliliters.

Here, the number of fluid ounces = Total quantity of iced tea/Quantity of fluid in a fluid ounce

= 750/30

= 25

Therefore, the number of fluid ounces of iced tea does the bottle hold is 25.

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(−3+x)=kx+9

what does x=

Answers

Answer:

Step-by-step explanation:

he correct answer for the domain of function p(x) is:

Domain: [1, ∞)

This means that x can take any value greater than or equal to 1, including 1 itself. The square root function (√x) is defined for non-negative real numbers, so x must be greater than or equal to 0. In this case, since we have √x - 1 in the function, x must be greater than or equal to 1 to avoid a negative value under the square root. Additionally, there are no other restrictions on the domain, so any value of x greater than or equal to 1 is allowed.

name miles hours
doug 28 2.3
primo 34 2.1
Camillo 57 1.4
Bryan 49 1.2

The table above shows the number of miles driven by four drivers and the number of hours each person drove. Which person drove the fastest?

Answers

Answer: Bryan drove the fastest.

Step-by-step explanation: To find out who drove the fastest, we need to calculate the speed of each person. Speed is given by the formula distance/time.

For Doug:

Speed = 28 miles / 2.3 hours = 12.17 miles/hour

For Primo:

Speed = 34 miles / 2.1 hours = 16.19 miles/hour

For Camillo:

Speed = 57 miles / 1.4 hours = 40.71 miles/hour

For Bryan:

Speed = 49 miles / 1.2 hours = 40.83 miles/hour

Se está construyendo una escalera que inicia a 4.10 m para alcanzar una altura de 2.35 m calcular la longitud de la escalera y cual es su ángulo de elevación 0 .

Answers

The length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.

Using the Pythagorean theorem:

Length of the ladder = √(height² + horizontal distance²)

= √(2.35² + 4.10²)

= √(5.5225 + 16.81)

= √22.3325

≈ 4.72 meters

To calculate the angle of elevation (θ), we can use the trigonometric function sine:

sin(θ) = height / length of the ladder

θ = arcsin(height / length of the ladder)

θ = arcsin(2.35 / 4.72)

θ ≈ 30.4 degrees

Therefore, the length of the ladder is 4.72 meters and its angle of elevation is 30.4 degrees.

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The Translation of given question is:

A ladder is being constructed that starts at 4.10 m and reaches a height of 2.35 m. Calculate the length of the ladder and its angle of elevation.

What two whole numbers does sqrt 3 11 lie between

Answers

The third root of 11 lies between the whole numbers 2 and 3.

How to estimate a non-exact square root?

The estimate of a non-exact root of x is done finding two numbers, as follows:

The greatest number less than x that is a perfect root, which we call a.The smallest number greater than x that is a perfect root, which we call b.

The number for this problem is given as follows:

Cubic root of 11.

For the parameters, we have that:

The cube of 2 is of 2³ = 11.The cube of 3 is of 3³ = 27.

Hence the third root of 11 lies between 2 and 3, as 2³ < 11 < 3³.

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?Topic Essential Question
How can data be described by a single number? How can tables and
graphs be used to represent data and answer questions?
F

Answers

Summary statistics provide a single number to describe data, while tables and graphs visually represent data to facilitate analysis and answer questions.

We have,

Data can be described by a single number using summary statistics. Summary statistics provide a concise representation of the main characteristics of a dataset.

Commonly used summary statistics include measures such as the mean, median, mode, range, variance, and standard deviation.

These single numbers provide insights into different aspects of the data, such as the central tendency, variability, or distribution.

Tables and graphs are effective tools for representing data and answering questions because they provide a visual representation that helps to organize and understand the information.

Tables present data in a structured format, typically using rows and columns, which allows for easy comparison and analysis.

They can display raw data, summary statistics, or both.

Graphs, on the other hand, use visual elements to represent data in a more intuitive and visual manner.

Different types of graphs can be used depending on the nature of the data and the question at hand.

For example, bar graphs can be used to compare categories or discrete data, line graphs can show trends over time, and scatter plots can display the relationship between two variables.

Tables and graphs help to answer questions about data by providing a clear and organized presentation.

They allow us to observe patterns, trends, and relationships, making it easier to draw conclusions and make informed decisions.

Visually representing data, tables, and graphs enhances our ability to analyze and interpret complex information quickly and effectively.

Thus,

Summary statistics provide a single number to describe data, while tables and graphs visually represent data to facilitate analysis and answer questions.

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Using trial and improvement, find the solution between 3 and 4 for the following equation: 2 x 3 − x 2 = 100 Give your answer rounded to 1 DP.

Answers

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Help please!! Thank youuuuu!!!
I’ll give brainliest if you show work as well.

Answers

The value of x from given parallel lines is 2.

In the given figure, three lines are parallel and two lines are passing through.

When three or more parallel lines are cut by two transversals, the line segments formed are proportional.

That is, 2x/x = (x+4)/(4x-5)

2/1 = (x+4)/(4x-5)

2(4x-5)=1(x+4)

8x-10=x+4

8x-x=4+10

7x=14

x=2

Therefore, the value of x from given parallel lines is 2.

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A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.6 inch and a height of 2.4 inches. How many total square inches of gift wrap will the makeup artist need to wrap 3 lipsticks? Leave the answer in terms of π.

9.04π square inches
10.8π square inches
11.3π square inches
14.4π square inches

Answers

The number of square inches or area of gift wrap that the makeup artist will need is 10.8π square inches.

Given that,

A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap.

Radius of each lipstick = 0.6 inch

Height of the lipstick = 2.4 inches

Now,

Area of the each lipstick = 2πrh + 2πr², where r is the radius and h is the height.

Area = 2π (0.6) (2.4) + 2π (0.6)²

        = 2.88π + 0.72π

        = 3.6π

Area of the wrap for 3 lipsticks = 3 × 3.6π = 10.8π square inches.

Hence the area is 10.8π square inches.

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Help Due!!!! HELP ASAP!!! We structure computer as series of abstractions (levels), and each abstraction (level) builds on the one below it. We are designing a computer and decide to adopt the following five-level structure. Level 4: High-level Programming Language C++/Java vel 3: Assembly Language UVM evel 2: Machine Language (UVM) Level 1: Micro-Machine Mic-1 (Microprogramming Language) evel 0. Gotes and Circu A user wrote a piece of C++/Java code (2 instructions in C++/JAVA), which is in Level-4: int sum = O; for i=0i recombinant bovine somatotropin is used by some farmers to ________. compared to budgeting, long-range planning generally has the In GLSL which keyword(s) is/are used to signify that the variable is being passed from the CPU your C++ code) to the GPU lyour vertex or fragment program? uniform out and in int, float, vec2, vec 3. vec 4, mat3, or mat4 gl_Position why do you want to work for southwest airlines when a community health nurse is conducting a family assessment on an assigned family, which action would be most appropriate? an important variable that is left out of economic models isa. Excess profits.b. Implicit costs.c. Entrepreneurship.d. The opportunity cost of resources. As you have learned in this laboratory, enantioselective ketone reductions can be performed enzymatically or using reagents/catalysts. State an advantage or disadvantage for eachmethod. Makayla leans a 18 foot ladder aginst a wall so that it forms and angle of 64 degrees with the ground. what the horizontal distance between the base of the ladder and the wall what encouraged president taylor to secure the annexation of texas? Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = /2. (Round the answer to four decimal places.)(a) Use four approximating rectangles and right endpoints.R4=(b) Use four approximating rectangles and left endpoints.L4= Which of the following is (are) required to calculate MACRS depreciation?Select all that applies.A.Salvage valueB.Purchase costC.Setup and installation costD.Property classE.Annual maintenance costsF.Annual benefit 0.114 m (molar) sodium sulfate solution is added to 35.0 ml of 0.125 m calcium iodide solution to produce aqueous sodium iodide and solid calcium sulfate. which of the following statements is false? a. hemolysins lyses erythrocytes b. leukocidins destroys neutrophils and nk cells c. kinase breaks down fibrin clots d. hyaluronidase breaks down substances between cells e. coagulase forms blood clots What would happen if bacteria were unable to reproduce as quickly as they do? They would not evolve as quickly. They would evolve more quickly. They would become extinct. They would become overpopulated. Please help What extremely weak attractive force acts between any two masses? How many protons and neutrons are in the following isotope? As you are crossing a field at the farm, your country cousin Jake assures you "Don't worry about that old bull coming toward us. He's harmless." As you consider Jake's hypothesis, what would be Type I error on your part? a.You will soon feel the bull's horns. b.Jake will not have any more visits from you.c.You will run away for no good reason. The following transactions for the month of March have been journalized and posted to the proper accounts of a sole proprietorship.Mar. 1 The business received cash from the owner of the business, Morris Tharps. The business gave capital to Morris Tharps.Mar. 2 Paid the first month's rent of .Mar. 3 Purchased equipment by paying cash and executing a note payable for .Mar. 4 Purchased office supplies for cash.Mar. 5 Billed a client for of design services completed.Mar. 6 Received on account for the services previously recorded.What is the balance in Cash on March 6? Which example demonstrates using a signal phrase to introduce a direct quote?O According to research, "chocolate is most often identified as a favorite ice cream flavor" (p. 12).Breyers (2022) indicates that "chocolate is most often identified as a favorite ice cream flavor" (p. 12)When surveyed people most often respond that chocolate is their favorite flavor (p. 12).O Breyers (2022) "chocolate is most often identified as a favorite ice cream flavor" (p. 12).