Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.a. and if the first payment of $10,000 is received at the end of 10 years.

Answers

Answer 1

Answer:

Step-by-step explanation:

The person receives 10000 every month

for one year total principal 10000 * 12 = 120000

r= 12%p.a and t is 1yr

simple interest= 120000*12*1/100 = 14400

total money received in present year 120000 + 14400 = 134400

for 20 yrs principal becomes 10000*12*20= $2400000

simple interest = 2400000*12*20/100= $5760000

total amount received for 20 yrs = 2400000+ 5760000=8160000.

present value of principal as money receive 10000 for 10 yrs = 10000*10 = 100000

si = 100000*10*12/100= 120000

amount = $220000


Related Questions

2. If I paid $1.45 for an apple and an orange, and the apple cost 15 cents more than the orange, how much did the orange cost?

Answers

Answer:

0.80 + 0.65 = 1.45

Step-by-step explanation:

apple: 0.80

orange: 0.65


What is the midpoint of the segment?

Answers

Answer:

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment. hope that helps love!

Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!

Answers

11 nickels and 10 dimes

Answer:

7 nickels, 12 dimes

Step-by-step explanation:

n+d= 19

5n+10d= 155 ⇒ n+2d= 31

comparing the 2 equations we get

d=12, then n= 7

00:00
Which of the following is a statistical question?
O
A.
00:00
How tall is Mr. Leung?
B.
00:00
What are the ages of all your cousins?
00:00
What is the formula for the volume of a cube?
D.
00:00
What is the school's address?

Answers

The correct answer is B. What are the ages of all your cousins?

Explanation:

Statistics focus on using numbers to analyze variables in a population or in a specific sample taken from this population. This means statistical questions can be answered by analyzing different features in a population. For example, you can wonder what is the time students on a class spend doing homework?.

According to this, the one that is a statistical question is "What are the ages of all your cousins?" because this question focuses on analyzing one variable or factor in a population; in this case, the ages of your cousins, which requires gathering information and then using numbers to represent and analyze this, which is the objective of statistics.

can the value of y be the same for all X values in a function

Answers

Answer:

  yes

Step-by-step explanation:

One such function is ...

  f(x) = 0

No matter what the value of x is, the value of y is 0. The graph of it is a horizontal line.

Can someone help this is really difficult for me

Answers

Answer:

D.strong

Step-by-step explanation:

Answer:

strong

Step-by-step explanation:

definitely not parabolic

pretty positive (not negative)

pretty strong (not weak)

I guess strong

(don't be angry if it is wrong, I'm not a regression and best fit expert)

What is the value of x in the equation 3X minus 4Y equals 65, when Y equals four

Answers

Answer:

Step-by-step explanation:

3x-4y=65

3x=65+4y

x=(65+4y)/3, when y=4

x=(65+4*4)/3

x=(65+16)/3

x=81/3

x=27

What is the value of 4p − 2, when p = 8? 16 24 30 34

Answers

Answer:

4p - 2

4(8) - 2

32 - 2 = 30

The answer is 30.

This is because you have to substitute the value of the number they give into the equation. This will give you the number of 4 to be multiplied by 8. This is because the x is the number 8.

Hope this helped!

Answer:

What is the value of 4p − 2 when P 8?

the answer is 30.

Step-by-step explanation:

find the length of the line segment whose endpoints are ( 3, -2 ) and ( 5, 4 ) in simplest radical form

Answers

Answer:

2√10

Step-by-step explanation:

The length of this line segment lies along the hypotenuse of a right triangle.  As we go from (3, -2) to (5, 4), the horizontal change is 2, and the vertical change 6.  Apply the Pythagorean Theorem to find the length of the hypotenuse, which is also the line segment in question:

length = √[ 2^2 + 6^2 ] = √[4 + 36] = √40 = √4·√10 = 2√10

what are possible rational roots of f(x)= 3x^4-x^3+x^2_x+5

Answers

Answer:

x=0

so the roots are (0,0)

The inverse of G(X) is a function.
A. True
B. False

Answers

Answer:

true its just a filp with the y and x and resolved

Step-by-step explanation:

What is the system of equations in this problem

Answers

X= 2 hope this helps

What is the definition of an obtuse angle?

Answers

Answer:

an obtuse angle is an angle more than 90 degrees but less than 180 degrees

Step-by-step explanation:

:)

There are 10 clean individual socks in your sock drawer. There is only one matching pair among them. In the dark, you reach into the drawer and randomly pick 2 socks. What is the probability that you choose the matching pair

Answers

The required probability of choosing the matching pair of socks is approximately 0.0222 or 2.22%.

To find the probability of choosing the matching pair of socks, we need to consider the total number of possible outcomes and the number of favorable outcomes.

In this case, there are 10 individual socks in the drawer, and only one matching pair. When you randomly pick 2 socks, there are C(10, 2) = 45 possible outcomes, as you are choosing 2 socks out of 10.

The favorable outcome is when you choose the matching pair, which can occur in only one way.

Therefore, the probability of choosing the matching pair of socks is:

P(matching pair) = favorable outcomes / total outcomes
                           = 1 / 45 ≈ 0.0222

So, the probability of choosing the matching pair of socks is approximately 0.0222 or 2.22%.

Learn more about probability here:

https://brainly.com/question/31090980

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Line p is parallel to line q. Parallel lines p and q are crossed by lines a and b to form 2 triangles. At parallel line p, angle 4 is formed by line b and angle 5 is formed by line a. Angle 6 is the third angle. At parallel line q, angle 3 is formed by line 3 and angle 2 is formed by line b. Angle 1 is the third angle. Which set of statements about the angles is true? Angle 1 is congruent to angle 6, angle 5 is congruent to angle 4, angle 3 is congruent to angle 2 Angle 2 is congruent to angle 4, angle 3 is congruent to angle 6, angle 1 is congruent to angle 5 Angle 3 is congruent to angle 6, angle 1 is congruent to angle 2, angle 5 is congruent to angle 4 Angle 6 is congruent to angle 1, angle 5 is congruent to angle 3, angle 4 is congruent to angle 2

Answers

Answer:

add all angles

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

9(x-4) = 9x-33
how many solutions does this have?

Answers

Answer:

No solution

Step-by-step explanation:

Because x = 0

The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.

Answers

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

[tex]x=[/tex]  [tex]\frac{1.00*540g}{4.10}[/tex]

[tex]x= 131.7grams[/tex]

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

[tex]x=\frac{1.00*360g}{2.81}\\x= 128.1gram[/tex]

Hence for the small jar a penny would buy 128.1g of honey

Consider the polynomials p1(t) = 1 + t , p2(t) = 1 -t , and p3(t) = 2 (for all t). By inspection, write a linear dependence relation among p1, p2, and p3. Then find a basis for Span{ p1 , p2 , p3 }.

Answers

Answer:

[tex]\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}[/tex]

Step-by-step explanation:

Given the polynomials:

[tex]p_1(t) = 1 + t\\ p_2(t) = 1 -t\\p_3(t) = 2\\[/tex]

On Inspection

[tex](1+t)+(1-t)=1+1+t-t=2\\$Therefore:\\p_1(t)+p_2(t)=p_3(t)[/tex]

By the Spanning Theorem  

If one vector in S is a linear combination of the others, we can delete it and get a subset (one vector smaller) [tex]S' \subseteq S[/tex] that has the same span.

Therefore, since [tex]p_3(t)=p_1(t)+p_2(t)[/tex]

[tex]Span\{p_1,p_2,p_3\}=Span\{p_1,p_2\}[/tex]

[tex]p_1$ and p_2[/tex] are linearly independent because [tex]p_1[/tex] cannot be written in terms of [tex]p_2[/tex].

Therefore, [tex]\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}$ as required.[/tex]

A linear dependence relation among the polynomials p₁, p₂, and p₃ is given as p₁ + p₂ = p₃

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the polynomials are

[tex]\rm p_1(t) = 1 + t\\\\ p_2(t) = 1 -t \\\\ p_3(t) = 2[/tex]

a linear dependence relation among p₁, p₂, and p₃ will be

Let add the  p₁ and p₂, we have

1 + t + 1 -t = 2

We get the polynomial p₃.

Thus the linear relation is p₁ + p₂ = p₃

More about the polynomial link is given below.

https://brainly.com/question/17822016

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

A. f(x)= -(x-3)^(2)-2

Step-by-step explanation:

graphing the parabola, using the direction, vertex, focus, an axis of symmetry, we see that the direction it opens is down, like the picture shows. The vertex is at (3, -2), focus is (3,-9/4), axis of symmetry is x=3, and the directrix is y = -7/4 just as the picture shows. Therefore, A is the correct answer.

Hope this helps!!

Answer:

A. [tex]F(x)=-(x-3)^2-2[/tex]

Step-by-step explanation:

For the function F(x) to flip upside-down, there needs to be a negative sign in front. This eliminates answers "B," and "D." The function F(x) shifted 3 units to the right, meaning there needs to be a -3 being subtracted. The function also shifted downwards 2 units, meaning there's a -2 being subtracted.

This makes the correct answer be "A."

What is the surface area of the cube below?
A. 12 units2
B. 20 units2
C. 8 units2
D. 24 units2

Answers

Answer:

24 units squared or D

Step-by-step explanation:

The Surface Area of a cube is 6(x²) x is the side length.

x=2

6(4)=24

The value of surface area of cube is,

⇒ SA = 24 units²

What is mean by Cuboid?

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

Side of cube = 2 units

Now, We know that;

the surface area of the cube with side 'a' is,

⇒ SA = 6a²

Hence, We get;

the surface area of the cube is,

⇒ SA = 6 × 2²

⇒ SA = 24 units²

Learn more about the cuboid visit:

https://brainly.com/question/26403859

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The Great Pyramid is an example of a___ a0_____ a1.

Answers

Answer:

Triangular Pyramid

Step-by-step explanation:

A triangular pyramid has 4 triangular sides and a rectangular base

mine was Square, Pyramid

that is what my answer was.

Hope you have a Blessed Day

God is with you.

Barry Beach was convicted of murder in 1983 and sentenced to life in prison without parole. In 2015, Governor Bullock commuted Beach's sentence after years of controversy surrounding Beach's confession, trial and subsequent conviction. A news program in Bozeman wanted to find out more about how people in Montana feel about Beach's release. The local program invited viewers to go their website and indicate their opinions. At the end of the show, 72% of people who voted in the poll indicated they agreed with Bullock's decision.
What is the population of interest?
1- All Montana residents
2- Viewers of this TV show
3- Residents of Bozeman, MT
4- Residents of Poplar, MT

Answers

Answer:

The correct answer to the following question will be Option 1 (All Montana residents).

Step-by-step explanation:

Barry Beach told journalists managed to gather next to the front main entrance of Montana federal penitentiary across lunchtime that perhaps the point in time seemed to be 'surreal.'A news broadcast in Bozeman was desperately trying to find out how and why individuals in Montana perceive and say about the official launch of Beach. It certainly indicates 'All Montana Residents' seems to be the group of people of benefit after that.

Other choices aren't linked to just the scenario in question. Option 1 seems to be the perfect solution.

What number is 144% of 5.19

Answers

Answer:

7.4736

Step-by-step explanation:

A = 144% of 5.19 means: A = (144/100) x 5.19 =  7.4736

Hope this helps!

What is the equation of a line that has a slope of 2 and passes through the point (4,6) ?

Answers

Answer:

[tex]y-6=2\,(x-4)[/tex]

or in slope y-intercept form :

[tex]y=2x-2[/tex]

Step-by-step explanation:

The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point   [tex](x_0,y_0)[/tex]  it goes through:

[tex]y-y_0=m\,(x-x_0)[/tex]

In our case the equation becomes:

[tex]y-y_0=m\,(x-x_0)\\y-6=2\,(x-4)\\[/tex]

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

[tex]y-6=2\,(x-4)\\y=2x-8+6\\y=2x-2[/tex]

Find f(-3) if f(x) = x•x

Answers

Answer:

9

Step-by-step explanation:

f(x) = x•x

f(-3) = -3*-3

f(-3)= 9

What’s the correct answer for this question?

Answers

Answer:

THE ANSWER OF THIS QUESTION IS CONE

Answer:

B. Cone

Step-by-step explanation:

The flashlight beam is of the shape of a cone

What’s the correct answer for this? Solve for x

Answers

Answer:

x = 40

Step-by-step explanation:

Given 2 secants to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides

64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )

8x = 320 ( divide both sides by 8 )

x = 40

The population of a small town in central Florida has shown a linear decline in the years 1992-2000. In 1992 the population was 48000 people. In 2000 it was 44880 people.

A) Write a linear equation expressing the population of the town P
P
in terms of t
t
, the number of years since 1992.
Answer: c

B) If the town is still experiencing a linear decline, what will the population be in 2003?

Answers

Answer:

P = -390t +48,000P = 43,710 in 2003

Step-by-step explanation:

A) We are given two pairs of (t, P): (0, 48000), (8, 44880). We can use these with the 2-point form of the equation of a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  P = (44880 -48000)/(8 -0)(t -0) +48000

  P = -3120/8t +48000

  P = -390t +48000

__

B) In 2003, t = 11, so we have ...

  P = -390(11) +48000 = 43710

The population in 2003 is predicted to be 43,710.

20

Select the correct answer.

What is the purpose of a FICA tax?

A. It provides health insurance for people who are retired or disabled.

B. It helps the state government finance education projects.

C. It helps local councils finance development projects.

Reset

Next

Answers

Answer:

A. It provides health insurance for people who are retired or disabled.

Step-by-step explanation:

FICA stands for Federal Insurance Contributions Act, which is a law. It is a compulsory tax from the payroll of all employees in the United State to provide health insurance for retired as well as disabled people. It has a definite percentage with no conditional or exemption deductions to assist the government to fund social security and medicare.

This make it possible for the government to cater for the two sects of people  in the society that are registered easily.

What is the vertex of the graph of y=-x^2

Answers

Answer:

(0,0)

Step-by-step explanation:

The Graph shows that 0,0 is the first x-y value which is vertex

Answer:c

Step-by-step explanation:

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