What is the present value of an ordinary annuity having semi-annual payments of 8000 for 12 years with an interest rate of 12%compound semi- annually?

Answers

Answer 1

Answer:

PV= $100,402.86

Step-by-step explanation:

To calculate the present value, first, we need to determine the future value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= semiannual deposit

n=12*2= 24 semesters

i= 0.12/2= 0.06

FV= {8,000*[(1.06^24) - 1]} /  0.06

FV= $406,524.62

Now, the present value:

PV= FV / (1+i)^n

PV= 406,524.62 / 1.06^24

PV= $100,402.86


Related Questions

Look at the question below.

Answers

Answer:

35

Step-by-step explanation:

Fatima sells 10 cookies each 1.50. Her cookie total is 15 dollars. Her teacher gives her an additional 20 dollars. 20+15=35.

1) If Susie puts her pennies in piles of 4 she has 2 pennies left over. If she puts h
pennies in piles of 5 she has 3 pennies left over. What is the least amount of
pennies Susie can have?

Answers

Answer:

The least ammount of pennies would be 18 I belive.

Step-by-step explanation:

simplify the following. 4p^3q^2 x -3p^6q^5​

Answers

muachhhhhhhhhh hhhhhhhhhhhhhhhhhh

私は英語がわかりませhahah sorry

Which expression shows 56x+40y-48z written as a product of the greatest common factor and one other factor

Answers

Answer:

Step-by-step explanation:

You have not provided the choices.

Factor each term into powers of primes and variables:

56x = 2³·7x

40y = 2³·5y

48z = 2⁴·3z

Greatest common factor = 2³ = 8

56x + 40y - 48z = 8(7x + 5y - 6z)

A package of mixed lettuce seeds contains 150 green lettuce seeds and 50 red lettuce seeds. What is the probability that a randomly selected seed will be a red lettuce seed? Write your answer as a percent.​

Answers

Answer:

25%

Step-by-step explanation:

I used relative frequency approach

n(total number of seeds)= 150+50=200.

probability (selecting a red lettuce) = red lettuce divided by the total number of seeds.

probability (selecting red lettuce) = 50/200 = 0.25

in percentage, probability = 0.25*100= 25%✓

What's the area of this figure?

Answers

Answer:

136.5 yd²

Explamation:

You break the shape into squares and rectangles and find the area of them and then add them together. To get the area of a triangle you add another half to it to make a square or rectangle. After you've done that, find the area of that shape and then divide it by 2.

Are these two lines parallel, perpendicular or neither

Answers

They are Perpendicular

Find cuberoot of 27000*(-42875)

Answers

ANSWER:

35

DID YOU COPY MY ANSWER THAT IS CORRECT

Step-by-step explanation:

125=5*5*527=3*3*33√125=53√125*27= 35*5*5*3*3*35*315-1286250

The number 15 is the geometric mean of 25 and what other number?​

Answers

Answer:

9

Step-by-step explanation:

In a right triangle, where one leg is 20 inches and the hypotenuse is 25 inches, what is the length of the other
leg?

Answers

Answer:

15

Step-by-step explanation:

25² - 20² = leg²

leg² = 225

leg =15

function a and function b are linear functions. Categorize the statements below as true or false

Answers

Answer:

1 True 2 False 3 True 4 False

Step-by-step explanation:

help me please !!!!!!

Answers

a, c, d are linear, goodluck :)

I need help again.. can someone help me solve this...? I didn't get a screenshot of how to solve the perimeter but I know it had something to do with subtracting a side from another side to get the side... I dunno... (HELPFUL ANSWERS ONLY PLEASE)

Answers

Answer:

21

Step-by-step explanation:

The nth term of a sequence is given by 3n - 8
Write down the value of,
(i) the 1st term,
(ii) the 10th term,
(iii) the 100th term.

Answers

The 100th term that’s what I think

4.
Choose an appropriate metric unit for the thickness of the lead of a pencil.


A. centimeter

B. liter

C. milliliter

D. millimeter

Answers

Answer:

D. millimeter

Step-by-step explanation:

millimeters [mm]

You can use millimeters.

3 divided by 12 in percentages and fractions

Answers

Answer: fraction: 1/4    decimal: .25  percentage: 25%

Step-by-step explanation:

Answer:

3 is 1/4 of 12 so there is ur fraction and that is 25.00%

Step-by-step explanation:

richard klein works as auto mechanic and earns the following commission rates 3.00 percent for oil changes 5.00 percent for tune ups and 6.25 percent on auto parts sales he is guaranteed a minimum salary of $2,450.00 per month last month he brought in $2,500.00 in oil changes $4,500.00 in tune ups and sold $28,200.00 in parts what is his gross pay for the month

Answers

Answer:

His gross pay for the month is $4,509.50

Step-by-step explanation:

The commission Richard Klein earns for oil change = 3.00%

The commission he earns for tune ups = 5.00%

The commission he earns for auto parts sales = 6.25%

The minimum salary he is guaranteed = $2,450.00

The amount he brought in last month includes;

1) $2,500.00 in oil changes

2) $4,500 in tune ups

3) Sold $28,200.00 in parts

The amount he earns last month in commission are;

3/100 × 2,500 = 75 in oil changes

5/100 × 4,500 = 225 in tune ups

6.25/100 × 28,200 = 1762.5 in parts sold

The total commission = 72 + 225 + 1762.5 = 2,059.5

∴ The total commission = $2,059.5

The amount he makes as salary = $2,450.00

Richard Klein's gross pay for the month = His total pay for the month

Therefore;

Richard Klein's gross pay for the month = $2,059.5 + $2,450 = $4,509.5

I need help this is a tangent and secant problem and I'm confused

Answers

Answer:   110 degrees

======================================================

Work Shown:

x = measure of minor arc CL

angle J = ( (far arc) - (near arc) )/2

angle J = ((red arc) - (yellow arc))/2

angle J = ( (minor arc CL) - (minor arc CK) )/2

35 = ( x - 40 )/2

35*2 = x-40

70 = x-40

x-40 = 70

x = 70+40

x = 110

Minor arc CL = 110 degrees

i need help i'm about to cry lol

Answers

Answer and Step-by-step explanation:

The answer is the last answer choice.

g(x) = [tex]-(x + 2)^2 + 1[/tex]

We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.

The equation for a transformed function is:

f(x) = [tex]a(x-h)^2 + k[/tex]

a determines the scale of the graph and whether the graph opens up or down.

h determines whether the graph shifts left or right.

k determines whether the graph shifts up or down.

We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.

k is a positive 1, so the graph will be shifted up 1 unit.

Thus, the answer is the last answer choice.

#teamtrees #PAW (Plant And Water)

Answer:

[tex]g(x)=-(x+2)^{2} +1[/tex]

Which equation has x = 4 as the solution?

Answers

Answer: A (the first one)

Step-by-step explanation:

Rewrite as [tex]4^{2}[/tex] = 3x+4 and solve:

16 = 3x+43x = 12x = 4

Tanya has a garden with a trench around it. The garden is a rectangle with length of 2 1/2m and width of 2 m. the trench and garden together make a rectangle with length 3 1/2m and width of 3 m. Find the area of just the trench

Answers

Answer:

The area of a trench is 5.5 m².

Step-by-step explanation

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

have a great day!!

What happens to the opposite and adjacent sides when theta is moved from one acute angle to the other?

Answers

Answer:

the opposite and adjacent sides should switch places if theta is moved. the hypotenuse will always stay the same.

Which expression is equivalent to 5(x + 9)? 5x + 9

5x + 45

x + 45

x + 9

Answers

Answer:

5x+45

Step-by-step explanation:

It would be 5x+45 because

5*x=5x

5*9=45

5x+45

What is the slope for this

Answers

Answer: -4/5

Step-by-step explanation:

The length of a shadow of a building is 30 m. The distance from the top of the building to the tip of the shadow is 36 m.
Find the height of the building. If necessary, round your answer to the nearest tenth.

Answers

Answer:

the answer is 19.89

Step-by-step explanation:

round it

The regular price of a video game is $59.,95. This week it is on sale for 15% off. What does the game cost this week (before taxes)

Answers

Answer: $50.96

Step-by-step explanation:

The regular price of a video game is $59.95 and we are told that this week it is on sale for 15% off.

The game cost this week before taxes will be:

= 59.95 - (15% × 59.95)

= 59.95 - (0.15 × 59.95)

= 59.95 - 8.9925

= $50.9575

= $50.96

The amount this week is $50.96

Plz help me I really need help !!!!!!!!!!

Answers

Answer:

What would you like me to help you with? ╰_╯

I need the answer to #8

Answers

Answer:

i think it's 3400:)

Step-by-step explanation:

15% of 4000 is 600

There are approximately 750 students enrolled in a new school, which is already at full capacity.
The school's management board plans to add an addition to house 500 more students. If the
school population grows at 6.4% per year, in how many years will the new addition be full?

Answers

Answer:

8000

Step-by-step explanation: 700 + 500 = 1,200

1,200 x 6.40 = 8000

Simplify the expression.
-4+ (-1) - (-3) = ?

Answers

Answer:

-2

Step-by-step explanation:

-4 + (-1) - (-3) = ?

-4 - 1 + 3 = ?

-5 + 3 = ?

? = -2

Step-by-step explanation:

given

- 4 + (- 1) - ( - 3 )

= - 4 - 1 + 3

= - 5 + 3

= - 2

hope it helps

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