please help. i get two diff ans.
If the interest rate is 3% and a total of $4,370.91 will be paid to you at the end of 3 years, what is the present value of that sum? A) $3900, B) $3947 C) $3,977.40 D) $4000,

Answers

Answer 1
Present value = Future value / [1+ {Interest rate}]^n where n is the duration of investment.----------(1) Given : Interest rate = 3%, Duration, n = 3 years. Plugging in the values in the above equation (1) Present value = (4370.91) / (1+3%)^3 Present value = 4370.91/(1.03^3) Present value = 4370.91/1.0927 Present value = $ 4000.

Related Questions

A tree on a hillside casts a shadow c = 230 ft down the hill. if the angle of inclination of the hillside is b = 19° to the horizontal and the angle of elevation of the sun is a = 49°, find the height of the tree. (round your answer to the nearest foot.)

Answers

From a point A draw a line 19° to the horizontal representing the hill. On the hill, 230 ft from the point A, draw a vertical line.h, representing the height of the tree. From the point A, draw another line 49° to the horizontal to the top of the tree. Lastly, from the bottom of the tree, extend a vertical line (y) down to a point on the horizontal.
let x be the distance from point A to when y intersects the horizonal.
x/230=cos 19
x=230 cos 19=217.5

y/x=tan 19
y=xtan19
y=217.5 tan 19=74.88
(h+y)/x=tan 49
h+y=xtan 49=217.5tan49=250.205 
hence
h=250.205-74.88=175.325 ft

the answer is:
height of the tree ~ 175 ft



Refer to Explorations in Literature for a complete version of this passage.

Which quotations from “Here Is New York” develop the author’s viewpoint that commuters do not truly experience New York City?

Select each correct answer.

A "About 400,000 men and women come charging on to the Island each week-day morning, out of the mouths of tubes and tunnels."

B "Second, there is the New York of the commuter—the city that is devoured by locusts each day and spat out each night."

C "The commuter dies with tremendous mileage to his credit, but he is no rover."

D "Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the sea wall."

Answers

I'm not positive about this one. 

C "The commuter dies with tremendous mileage to his credit, but he is no rover."

D "Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the sea wall."

Final answer:

The quotations that develop the author's viewpoint about commuters not truly experiencing New York City are highlighted.

Explanation:

The quotations from “Here Is New York” that develop the author’s viewpoint that commuters do not truly experience New York City are:

“Second, there is the New York of the commuter—the city that is devoured by locusts each day and spat out each night.”

“The commuter dies with tremendous mileage to his credit, but he is no rover.”

“Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the seawall.”

These quotes highlight the idea that commuters only see a limited and narrow part of the city, and they do not take the time to truly explore and experience all that New York has to offer.

..................................................................... 70.6 m × 14 m =

Answers

70.6m * 14m= 988.4 m
70.6 m × 14 m
 For this case we are in the presence of a multiplication where each number represents a unit.
 The unit for each number in this case is meters.
 Therefore, the result will be expressed in meters squared.
 Multiplying we have:
 70.6 m × 14 m = 988.4 m ^ 2
 Answer:
 70.6 m × 14 m = 988.4 m ^ 2

What is the area of a sector with a central angle of 10pi/7 radians and a radius of 18.4 m? Enter your answer as a decimal.

Answers

A = (1/2)r^2*θ
.. = (1/2)*(18.4 m)^2*(10π/7)
.. = 759.73 m^2

The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function
f(x) = x2?

A.g(x) is shifted 3 units left and 9 units up.
B.g(x) is shifted 3 units right and 9 units up.
C.g(x) is shifted 9 units left and 3 units down.
D.g(x) is shifted 9 units right and 3 units down.

Answers

the  -3 shifts the graph 3 units to the right
and The + 9 moves the graph upwards 9 units

Its B

For this case we have that the main function is given by:

[tex]f (x) = x ^ 2[/tex]

First, we apply the horizontal transformation. To do this, we evaluate the function for x-3, that is, we move the graph 3 units to the right.

[tex]f (x-3) = (x-3) ^ 2[/tex]

We apply the vertical transformation. To do this, add to the function 9 units, that is, we move the graph 9 units up.

[tex]f (x-3) +9 = (x-3) ^ 2 + 9[/tex]

We have then:

[tex]g (x) = (x-3) ^ 2 + 9[/tex]

Answer:

B.g (x) is shifted 3 units right and 9 units up.

Let f(x) = 5x + 6 and g(x) = -7x - 4.
Find f(x) + g(x)

Answers

5x + 6 + (-7x - 4)

5x + 6 - 7x - 4

-2x + 2

Find the area of the trapezoid. Leave your answer in simplest radical form.

Answers

h=√64-16=√48=4√3
A=[(18-4)+18]*4√3/2=32*2√3=64√3

A=64√3

How to solve 6+5c=-29

Answers

6 + 5c = -29
•You are trying to find C
Therefore you make C your subject by subtracting 6 on both sides then divide by 5.
Like this ;
6 - 6 + 5c = -29 - 6
5c/5 = -35/5
c = -7
hence
C = -7.

To check or prove that your answer is correct, simply sustitute (-7) into the equation in place of C and if the result is -29 than its the correct answer.
•Check;
6 + 5 (-7) = ?
6 + (-35) = ?

6 - 35 = -29
Your answer is proved so C = -7

The value of equation 6+5c=-29 is c= -7.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Equation: 6+5c=-29

Solving the equation for c

6+5c=-29

Subtract 6 from both side

6 + 5c - 6 = -29 - 6

5c = -35

Divide both side by (5) we get

5c / 5 = -35 /5

c= -7

Learn more about equation here:

https://brainly.com/question/29657992

#SPJ2

A model ship is built to a scale of 1 cm: 4 m. The length of the model is 40 cm. What is the length of the actual ship? a. 160 m c. 40 m b. 50 m d. 15 m Please select the best answer from the choices provided A B C D

Answers

A. 160m. 

You can get this answer by multiplying the scale by the length of the model

Which polynomial is in standard form

Answers

Standard form is when the polynomial is from the largest exponet to the smallest exponet.  The answer is D

Answer:

Last option is correct.

Step-by-step explanation:

We are given with some polynomials.

We have to tell which one is in standard form of polynomial.

In Standard Form of a polynomial , Terms are arranged in decreasing or descending order of degree of the terms.

Polynomial 1.

1 + 2x - 8x² + 6x³

In this Terms are arranged in Increasing order of degree of terms.

This is not in Standard form.

Polynomial 2.

2x² + 6x³ - 9x + 12

In this polynomial first two terms are arranged in Increasing order of degree while last two arranged in decreasing order of degree.

This is not in Standard form.

Polynomial 3.

6x³ + 5x - 3x² + 2

In this Terms are arranged in jumbled order of degree

This is not in Standard form.

Polynomial 4.

2x³ + 4x² - 7x + 5

In this Terms are arranged in Decreasing order of degree of terms.

This is in Standard form.

Therefore, Last option is correct.

the yearly changes in the population of a town for four consecutive years were, respectively, 25% increase, 25% increase, 25% decrease, and 25% decrease. what is the net present decrease over the four years, rounded to the nearest percent?

Answers

Answer: The net change is a 12.11% decrease.

To see what is going on in this problem, we should write an equation. Let's start by using P to represent the total population.

P x 1.25 x 12.5 x 0.75 x 0.75 = 0.8789

For the increases, we multiplied by 1.25. For the decreases, we multiplied by 0.75.

The final result is the P gets multiplied by 0.8789. In other words it is made smaller by 12.11%.  100% - 87.89% = 12.11%

What is the effect on the volume of a rectangular prism if the width is doubled and the hight is reduced to half of the original height?


A) the volume is doubled.

B) the volume is halved.

C) the volume is tripled.

D) the volume is unchanged.

Answers

D. the volume is unchanged

Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items. table What is the total amount she earned over these three days?

Answers

Answer:

614

Step-by-step explanation:

614 can also look like this ^!$ if you hold down caps.

Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items.

 

What is the total amount she earned over these three days?

$ 614

 

                 Got it correct.

                       Hope it helps

_____a function is the same as moving a function ... im not totally sure

Answers

shifting a function is the same as moving it

In Emily's physics class, she had to solve the equation 9 = 12at2 + ut for u. Each step of her work is shown below.

Use the drop-down menus to explain each step.


Answers

Answer:

[tex]u=(9-\frac{1}{2}at^{2})/t[/tex]

Step-by-step explanation:

we have

[tex]9=\frac{1}{2}at^{2}+ut[/tex]

Solve for u

That means-------> isolate the variable u

step 1

Subtract  [tex]\frac{1}{2}at^{2}[/tex] both sides

[tex]9-\frac{1}{2}at^{2}=ut[/tex]

step 2

Divide by  [tex]t[/tex] both sides

[tex]u=(9-\frac{1}{2}at^{2})/t[/tex]

In Step 1, Emily subtracts (1/2)at² from both sides to isolate 'u.' In Step 2, she divides both sides by 't' to solve for 'u,' simplification of the equation further.

The equation is 9 = (1/2)at² + ut

Step 1 . 9 - (1/2)at² = ut

In this step, Emily subtracts (1/2)at² from both sides of the equation.

The purpose of this is to isolate the term containing 'u' on the right side of the equation.

Starting with the original equation, Emily recognizes that the term (1/2)at² is added to ut, and she wants to get rid of it from the right side.

To do that, she subtracts (1/2)at² from both sides to keep the equation balanced.

So, she ends up with 9 - (1/2)at² on the left side and ut on the right side.

This is a crucial step because it isolates the term ut, making it easier to solve for 'u' in the next step.

Step 2. [9 - (1/2)at²] / t = u

In this step, Emily divides both sides of the equation by 't' to solve for 'u.' The purpose is to isolate 'u' on the right side of the equation.

Starting with the equation from Step 1 (9 - (1/2)at² = ut), Emily recognizes that she wants to isolate 'u' by itself.

To do that, she divides both sides of the equation by 't.'

This division cancels out 't' on the right side, leaving 'u' alone.

Therefore, simplification of the equation ends up with [9 - (1/2)at²] / t on the left side and 'u' on the right side, this step allows her to find the value of 'u' using the given values of 'a,' 't,' and '9.'

learn more about simplification here

brainly.com/question/2804192

#SPJ3

What is the value of x in the equation 3x – y = 18, when y = 27?

Answers

To find the value of x in the equation 3x - y = 18 when y = 27, substitute 27 for y and solve the resulting equation. The value of x is found to be 15.

The student has asked for the value of x in the equation 3x - y = 18, given that y = 27. To solve for x, we simply substitute 27 for y in the equation and solve for x:

3x - 27 = 18

3x = 18 + 27 (Add 27 to both sides)

3x = 45

x = 45 / 3 (Divide both sides by 3)

x = 15

The value of x is 15 when y = 27.

Which statements are always true regarding the diagram? Check all that apply.
CAN SOMEONE PLEASE ANSWEERRRRRR

m∠3 + m∠4 = 180°
m∠2 + m∠4 + m∠6 = 180°
m∠2 + m∠4 = m∠5
m∠1 + m∠2 = 90°
m∠4 + m∠6 = m∠2
m∠2 + m∠6 = m∠5

Answers

m∠3 + m∠4 = 180°
As these 2 angles make up a straight line, the sum of the magnitude of angles is 180° so this is true 

m∠2 + m∠4 + m∠6 = 180°
these 3 angles are the interior angles of a triangle. the sum of all the interior angles of a triangle sum up to 180° so this is true.

m∠2 + m∠4 = m∠5
for this statement, use the previously stated concepts 
m∠2 + m∠4 + m∠6 = 180°
m∠5 + m∠6 = 180°
since both equations are equal lets put them into one equation
m∠2 + m∠4 + m∠6 =m∠5 + m∠6
since m∠6 is common for both sides lets cancel it out which leaves us with 
m∠2 + m∠4 = m∠5
therefore this statement is true 

m∠1 + m∠2 = 90°
sum of the angles making up a straight line is 180 °, therefore this is incorrect

m∠4 + m∠6 = m∠2
lets use the following equation
m∠2 + m∠4 + m∠6 = 180° 
if m∠6 + m∠4 = m∠2
then using this we substitute in the previous equation
m∠2 + ∠m∠2 = 180°
m∠2 = 90°
so this angle should be a right angle, but in the diagram its not a right angle therefore this is incorrect 

m∠2 + m∠6 = m∠5
since 
m∠5 + m∠6 = 180°
m∠2 + m∠4 + m∠6 = 180° 
then putting both the equations in one as they are both equal
m∠2 + m∠4 + m∠6 = m∠5 + m∠6
this shows that 
m∠2 + m∠4 = m∠5 
then m∠4 should be equal to m∠6
but judging from the sides opposite to the angles m∠4 and m∠6 the sides aren't equal so these angles too cannot be equal so this statement is wrong.
m∠3 + m∠4 = 180°
m∠2 + m∠4 + m∠6 = 180°m∠2 + m∠4 = m∠5

your boss is impressed with your work and gives you a 3% raise.if the inflation rate is 3% you are
A) making more money in today's dollars
B) making about the same amount in today's dollars
C) making less money in today's dollars
D) seeing no change in your paycheck

Answers

B) making about the same amount in today's dollars

Answer:  The answer is (B) making about the same amount in today's dollars.

Step-by-step explanation:  Given that our boss is impressed with our work and give us a 3% raise.

We are to select the correct statement if there is an inflation of 3%.

Since the raise of 3% and inflation rate of 3% occur simultaneously, so there will not be much change in the amount of money we are making in dollars.

Thus, (B) is the correct option.

A recipe for lemon cranberry pound cake calls for 80 milliliters of lemon juice and 240 milliliters of plain yogurt. How many liters of lemon juice and yogurt are needed to make 11 cakes?

Answers

we know that
1 liter------------> is equal to 1000 ml

if for one cake--------------> are required 80 milliliters of lemon juice
 for 11 cakes--------------> X
X=11*80---------> 880 ml

if for one cake--------------> are required 240 milliliters of plain yogurt
 for 11 cakes--------------> X
X=11*240---------> 2640 ml

liters of lemon juice needed to make 11 cakes
880 ml/1000------> 0.88 lt

liters of yogurt needed to make 11 cakes
2640 ml/1000--------> 2.64 lt

the answer is
are needed 0.88 lt of lemon juice and 2.64 lt of yogurt to make 11 cakes

Answer: 3 liters 520 milliliters

Step-by-step explanation:

Total liquid amount:

80 ml + 240 ml = 320 milliliters

Total amount for 11 cakes:

320 milliliters × 11 = 3,520 milliliters

Total amount for 11 cakes conversion:

3,520 milliliters ÷ 1,000 = 3 remainder 520 = 3 liters 520 milliliters

Marvin and some of his classmates are painting their classroom at school. They only have gallon of paint left. How much of the paint will each person get if Marvin and 4 of his classmates share the paint equally?

Answers

1/4 of a gallon or 1 quart each

WILL GIVE BRAINLIEST-Let ​ f(x)=x2−3x−4​ .

What is the average rate of change from x = 7 to x = 10?



Enter your answer in the box.

Answers

The graph doesn't even show the points of interest.

The average rate of change on that interval is 14.

Answer:

14

Step-by-step explanation:

14

This is the term in a polynomial without a variable

Answers

It is a constant. hope this helps

Final answer:

A term in a polynomial without a variable is known as a constant. It is the term that does not change its value.

Explanation:

The term in a polynomial without a variable is often referred to as the constant term. In a polynomial expression, variables are raised to various powers and multiplied by coefficients. However, the constant term is a unique element within the polynomial because it does not involve any variables. It is a number on its own and typically represents the y-intercept of the polynomial graph when plotted on a Cartesian plane.

For example, in the polynomial expression "[tex]3x^2 + 5x - 7,"[/tex] the constant term is "-7." This term contributes a fixed value to the overall expression, regardless of the value of the variable "x." It's a crucial component in polynomial mathematics, as it affects the position of the polynomial graph on the vertical axis. Understanding the constant term is essential for polynomial evaluation, graphing, and solving equations involving these expressions. In essence, the constant term is the base value around which the polynomial varies as the variable changes.

Learn more about Constant here:

https://brainly.com/question/31730278

#SPJ6

A party size bag of tortilla normally coast 3.80. the supermarket has them on sale today for 2.25. what is the percentage of the discount

Answers

% discount = ((sale price)/(regular price) -1)*100%
.. = (2.25/3.80 -1)*100%
.. = (0.5921 -1)*100%
.. = -0.4079*100%
.. = -40.79%

The discount is about 41% from the regular price.

What is the first step in solving the problem 3/4 + 1/8?

Answers

The first thing you should know is that there are many ways to solve this problem.
 One of the ways, for example, is a simple addition of fractions.
 We have then:
 Step 1:
 Cross product
 3/4 + 1/8 = ((3 * 8) + (1 * 4)) / (4 * 8)
 Step 2:
 Rewrite
 ((3 * 8) + (1 * 4)) / (4 * 8) = (24 + 4) / (32) = 28/32
 Step 3:
 simplify
 28/32 = 14/16 = 7/8
 Answer: 
 Step 1: 
 Cross product
 3/4 + 1/8 = ((3 * 8) + (1 * 4)) / (4 * 8)

A board is leaning against a vertical wall, The board makes a 62 degree angle with the ground and touches the wall at a point that is 45 in, above the ground. What is the length of the board, rounded to the nearest inch?

Answers

Angle A = 62°
Angle B = 90°
Side a = 45
The length of the board is side b

Use the Law of Sines to find side b. 
b / sin(B) = a / sin(A) 
b / sin(90°) = 45 / sin(62°) 
b = (sin(90°) x 45) / sin(62°) 
b = 50.966

Rounded to the nearest inch is 51 inches.

Hope this helps!

Answer:

Option C. 51 in.

Step-by-step explanation:

In the given right angle triangle height is given as 45 in. above the ground.

Length of the board is making an angle of 62°with the ground.

Therefore by sine rule

sin 62° = height / hypotenuse

sin 62° = 45/h

0.8829 = 45/h

h = 45/0.8829 = 50.96 ≈ 51 in.

Therefore option C. 51 in. is the answer.

7 is greater than or equal to w, and - 1 is less than w

Answers

This written as an expression is 7 >= w > -1

Hope this helps!

Cory has a square piece of wood that is 4.5 feet by 4.5 feet. He wants to make a circular tabletop out of it. What is the area of the largest circle that he can cut out of the wood? Round to the nearest tenth.

Answers

In this circle, the diameter is the same as the length of the side of the square.  The diameter is 4.5 ft; so, the radius is 2.25 ft., so. A πr²= π(2.25)²=15.90 ft²

The area of the largest circle is  15.9 feet^2

what is area ?

The area is the amount of space within the perimeter of a 2 D shape. It is    measured in square units, such as cm², m², etc.

formula used to find the area is :

A = π r^2

Given : diameter = 4.5 feet

r = d/2

⇒ 4.5 / 2

⇒ 2.25

r = 2.25

A = π × (2.25)^2

A = 3.14 × 5.0625

A  =  15.89625  feet^2

round to nearest tenth is :

A = 15.9 feet ^2

Hence , the area of the largest circle is 15.9 feet ^2

Learn more about the area here :

brainly.com/question/15864082?

#tag #SPJ2

Delia work for 45 minutes on her oil panting she took a brake a 10:35 am what time did delia starting working

Answers

Delia took a break at 10.35am after working for 45 minutes
⇒ count back 45 minutes from 10.35am

45 mins before 10.35am = 9.50am



helpppppppppppppppppppppppppppp

Answers

For this case we can rewrite the function using properties of neperian and exponential logarithms.
 We then have to rewrite:
 x*x ^ 2 = 64
 Rewriting:
 x ^ 3- 64 = 0
 x = 4
  Answer:
 x = 4
 option 2

HELLPPPP ASAP

Identify the type of function represented by f(x)=(1/2) x (3)^x

A. Decreasing linear
B. Exponential decay
C. Exponential growth
D. Increasing linear

Answers

Answer:

The correct option is (C) Exponential growth.

Step-by-step explanation:

The simplest exponential function is: f(x) = [tex]a^{x}[/tex], a>0, a≠1

If the x is positive then graph of exponential is increasing and if the x is negative then graph of exponential is decreasing.

In given function [tex]f(x)=\frac{1}{2}\times(3)^x[/tex]

x is positive so, it is graph of exponential growth.

Hence, the correct option is (C) Exponential growth.

Answer:C

Step-by-step explanation:

BIG BRAIN

Other Questions
Which describes the first step a crawler-based search engine uses to find information? Which sentence is punctuated correctly?I think he meant that some people will always want to know the truth about current events from an unbiased source.I think he meant that Some people will always want to know the truth about current events from an unbiased source.I think he meant that some people will always want to know the truth about current events from an unbiased source. How is the work of the digestive and circulatory systems related to the respiratory system? What does "standardized testing" mean?? I've looked it up but I'm still pretty confused on what it actually is... Could someone explain it to me? Which are the roots of the quadratic function f(b) = b2 75? Check all that apply.Which are the roots of the quadratic function f(b) = b2 75? given that an intercepted arc has length 6pi inches and a central angle is pi/3, find the radius At which of the following temperature and pressure levels would a gas be most likely to follow the ideal gas law? A.0 K and 100 Pa B.273 K and 1 Pa C.100 K and 273 Pa D.273 K and 100 kPa The sa and av nodes are often supplied by both the ________ and ________ arteries. Which was not part of Johnsons Reconstruction plan? a. That only Southern state government members who took a loyalty oath would be allowed to vote for delegates in Congress c. That there would be amnesty for the people and pardons for Confederate leaders who swore loyalty to Union. b. Confederate supporters would not be allowed to hold office. d. Secession would be illegal how did the land ordinance of 1785 affect slavery Hal wants to make a 2 foot banner from a 5-foot length of cloth. If he has marked 2.0 on the cloth, what does he have to do to find 2 feet? G let x be an exponentially distributed random variable with parameter = 1 / 2 . determine the probability distribution function of the random variable y = x 2 . what kind of distribution does y have? a customer deposits $2000 in a savings account that pays 5.2% interest compounded continuously. how much will be earned between the 3rd and 5th yeards? Please anwser quick!Think about the novel or short story you read for Module Five. What does the resolution tell you about the future of the protagonist? Cite quotations and page numbers from your novel or short story that support your ideas.I read the magicians nephew MEDAL AND FAN!!A bike was originally $240.00. The price was marked up 15%. What is the new price of the bike?, Which of the following would be an example of a stereotype?a-a humorous statement designed to highlight a social behaviorb-a novel that describes life as it really existsc-a realistic, objective description of a specific persond-a belief about an entire group of people based on ones general perceptions Assume a and b are natural numbers. if a and b are two different primes, find GCD(a,b) and LCM(a,b). Why does Elisa begin to trust the stranger and invite him into her garden ? A wagon is accelerating down a hill. Which of the following statements are true?A. As the wagon approaches the bottom of the hill, the potential energy decreases and the kinetic energy increases. B. The kinetic energy decreases as the wagon comes towards the bottom of the hill.C. As the wagon approaches the bottom of the hill, the potential energy and the kinetic energy both increase.D. The thermal energy decreases as the wagon comes towards the bottom of the hill., People are more likely to perceive themselves favorably. this is known as: