USE THE PRESENT VALUE FORMULA TO CALCULATE THE AMOUNT OF MONEY THAT MUST BE INVESTED NOW AT 9% ANNUALLY COMPOUNDED QUARTERLY TO OBTAIN 1,000 IN 4 YEARS.

Answers

Answer 1

Answer:

The amount of money that must be invested is $252.

Step-by-step explanation:

Present value formula:

The present value formula is given by:

[tex]P = \frac{F}{(1+r)^n}[/tex]

In which:

P is the present value.

F is the future value.

r is the interest rate.

n is the number of periods.

9% ANNUALLY

This means that [tex]r = 0.09[/tex]

COMPOUNDED QUARTERLY TO OBTAIN 1,000 IN 4 YEARS.

Obtain 1000 means that [tex]F = 1000[/tex]

Compounded quarterly in 4 years, so 4*4 = 16 periods and [tex]n = 16[/tex].

Amount of money that must be invested:

[tex]P = \frac{F}{(1+r)^n}[/tex]

[tex]P = \frac{1000}{(1+0.09)^{16}}[/tex]

[tex]P = 252[/tex]

The amount of money that must be invested is $252.


Related Questions

One year, Alex bought an antique car for his birthday. During the first year he owned it, the
value of the car gained 10%. During the second year, the value of the car gained another
15% from the previous year. If the value of the car is now $37,950.00, how much did Alex
originally pay for his car?

Answers

Answer:

28462.5

Step-by-step explanation:

During the first year it gained 10% and during his second year he gained 15% so you first add those and you get 25%.

Then you multiply 25% with 37,950.

25/100 * 37950 = 948,750/100

= 9487.5

To get the original amount you subtract 9487.5 from 37,950

37,950 - 9487.5 = 28462.5

So the original amount was 28462.5

write the equation of the graph, y=? SOMEBODY PLEASE HELP

Answers

Answer:

[tex]y=\left(6\right)^{x}\ -3[/tex]

Step-by-step explanation:

Type 7.2e-4 as a floating-point literal but not using scientific notation, with a single digit before and five digits after the decimal point.

Answers

Answer:

A

Step-by-step explanation:i did the test

The value of the floating point number is A = 0.00072

What is an Equation?

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

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

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 data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 7.2e⁻⁴

On simplifying the equation , we get

A = 7.2 x 10⁻⁴

The value of the decimal point is moved 4 units to the left , so

The number A is A = 0.00072

Hence , the floating point number is A = 0.00072

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Please help me with this!

Answers

9514 1404 393

Answer:

7x -5 = 9x = 2

Step-by-step explanation:

A) If we let x represent "a number", then "seven times a number" is 7x. When 5 is subtracted from that, we have ...

  7x -5 . . . . . 5 subtracted from 7 times a number

This is said to be 9, so ...

  7x -5 = 9 . . . . . . . 5 from 7 times a number is 9. Your equation.

__

B) To solve this, we can add 5 to both sides. This eliminates the constant term we don't want on the left.

  7x = 14

Now, we can divide by 7, the coefficient of x that we don't want.

  x = 14/7

  x = 2

find the area of the shaded region

Answers

Answer:

22 cm²

Step-by-step explanation:

Shaded area is the difference of the bigger circle and two smaller ones:

A = π(3²) - 2π(1²) = 7π = 7*3.14 ≈ 22 cm²

Trish's punch recipe calls for 8 liters of lemon-lime soda and 4 liters of cranberry juice, Jenny's punch recipe requires 7
liters of lemon-lime soda and 6 liters of cranberry juice. Which recipe has a higher ratio of lemon-lime soda to cranberry
juice?
( A, neither, the ratios are equivalent
B. Trish's recipe
c. Jenny's recipe
D. not enough information

Answers

B because it’s shows that 8-4=4 and 7-6=1 so there’s your answer

please help me with this

Answers

9514 1404 393

Answer:

  92°

Step-by-step explanation:

The "givens" tell you the E and F are midpoints of their respective segments. That means EF ║ AB and angles DBF and EFC are "corresponding" angles with respect to transversal BC and those parallel lines. Corresponding angles are congruent, so ...

  m∠DBF = m∠EFC = 92°

Which of the following is a monomial?
A. 8x^2 +7x+3
B. √x-1
C. 9/x
D. 7x​

Answers

Answer:

7x is monomial according to question.

Fred the farmer had a piece of land shown in which he planted vegetables.

i) calculate the length of wire needed to fence the garden if he plans to put two layers of wire around the garden.

ii) what is the area of the vegetable garden?​

Answers

Answer:

i) 154m

ii) 495m^2

Step-by-step explanation:

2 layers around the garden = 2*perimeter = 2(10+20+12+35) = 2(77) = 154

shape is a trapezium, area = h(a+b)/2 = 18(20+35)/2 = 495

90 units needed 8per case

Answers

Are you asking how much cases is needed to to reach the 90 units? If yes then 90/8 which would give you 11.25. But since it’s by case then round up to get 12 cases. I think I answered it wrong but

Use the graph to determine the input values that correspond with f(x) = 1.

Answers

Answer:

[tex]x = -7[/tex] and [tex]x = 2[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Find x, for [tex]f(x)= 1[/tex]

From the graph, we have the following readings

[tex]f(x)= 1[/tex] when:

[tex]x = 2[/tex] and [tex]x = -7[/tex]

Hence, (d) is correct

What are some acceptable ways to name an line

Answers

Answer:

If there are points that are named you can name it that way

Step-by-step explanation:

If there is a point and it's called A, and there is another point and it is called B, and they form a line together, you can call it "Line AB"

A jewerly store sold a 7.4 gold necklace for 162.18 how much was the necklace worth per gram? round your answer to the nearest tenth

Answers

Answer:

$21.9 per gram

Step-by-step explanation:

Take the total price and divide by the number of grams

$162.18/7.4 grams

$21.91621 per gram

Rounding to the nearest tenth

$21.9 per gram

Answer:

$21.90 per gram (to the nearest tenth)

Step-by-step explanation:

Given information:

Weight of gold necklace = 7.4 gPrice of gold necklace = $162.18

To find how much the necklace was worth per gram, divide the total cost by the number of grams:

[tex]\sf Worth\:per\:gram = \dfrac{\$162.18}{7.4\:g}=\$21.91621622... \:per\:gram[/tex]

Therefore, the necklace is worth $21.90 per gram (to the nearest tenth).

Can some please help please thank you

Answers

Answer:

b the answer

Step-by-step explanation:

The answer to this is D

Of the travelers arriving at a small airport, 60% fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on major airlines, 50% are traveling for business reasons, whereas 70% of those arriving on private planes and 80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport.

What is the probability that the person
a. is traveling on business?
b. is traveling for business on a privately owned plane?
c. arrived on a privately owned plane, given that the person is traveling for business reasons?
d. is traveling on business, given that the person is flying on a commercially owned plane?

Answers

Answer:

a) 0.55 = 55% probability that the person is traveling on business

b) 0.14 = 14% probability that the person is traveling for business on a privately owned plane.

c) 0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.

d) 0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Question a:

50% of 60%(major airlines)

70% of 20%(privately owned airplanes)

80% of 100 - (60+20) = 20%(comercially owned airplanes). So

[tex]p = 0.5*0.5 + 0.7*0.2 + 0.8*0.2 = 0.55[/tex]

0.55 = 55% probability that the person is traveling on business.

Question b:

70% of 20%, so:

[tex]p = 0.7*0.2 = 0.14[/tex]

0.14 = 14% probability that the person is traveling for business on a privately owned plane.

Question c:

Event A: Traveling for business reasons.

Event B: Privately owned plane.

0.55 = 55% probability that the person is traveling on business.

This means that [tex]P(A) = 0.55[/tex]

0.14 = 14% probability that the person is traveling for business on a privately owned plane.

This means that [tex]P(A \cap B) = 0.14[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.55} = 0.2545[/tex]

0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.

Question d:

Event A: Commercially owned plane.

Event B: Business

80% of those arriving on other commercially owned planes are traveling for business reasons.

This means that:

[tex]P(B|A) = 0.2[/tex]

0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.

Find the lengths of the other two sides of the isosceles right triangle

Answers

Answer:

h²=p²+b²

(7√2)²=x²+x²

(49×2)=2x²

2x²=49ײ

x²=49×2/2

x²=49

x=√49=7

x=7

OAmalOHopeO

The answer is 7 I’m quite sure

need some help with this :)

Answers

Answer:  8

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

Explanation:

All direct variation equations are of the form y = kx, for some constant k.

We know that y = -8 and x = 4 pair up together. Let's use these two values to find k

y = kx

-8 = k*4

-8/4 = k

-2 = k

k = -2

Therefore, we go from y = kx to y = -2x

We can then find y when x = -4

y = -2x

y = -2*(-4)

y = 8

Answer:

y∝x

y=kx

k=y/x

by putting values

k=-8/4

k= -2

now ,if x= -4

as, y=kx

hence, y= (-2)(-4)

y=8

Step-by-step explanation:

Select the correct answer. Which expression is equivalent to the given expression? Assume the denominator does not equal zero.​

Answers

Answer:

Step-by-step explanation:

You have not provided the answers to choose from.

The expression can be simplified to δ⁴/a, but I cannot tell if that is one of the choices.

Please help with this question

Answers

9514 1404 393

Answer:

  dy/dx = 2x +1

Step-by-step explanation:

The power rule can be used.

  d/dx(x^n) = n·x^(n-1)

Then the derivative of x² is 2x¹ = 2x, and the derivative of x = 1x⁰ = 1.

The derivative of the function is ...

  dy/dx = 2x +1

A randomized study compared two drugs that are designed fo lower a person's serotonin level. It was found that over a 1-year period, those receiving Drug A decreased their serotonin level by a mean of 36 nanograms per millimeter. Those receiving Drug B decreased their serotonin level by a mean of 20 nanograms per millimeter. To determine whether the results are significant, the data are randomized and the difference of the means is shown in the dot plot. What is the best conclusion to make based on the data?

A. The difference of the means is significant because the rerandomizations show that it is outside the range of what likely happens by chance.

B. The difference of the means is not significant because the rerandomizations show that it is outside the range of what likely happens by chance.

C. The difference of the means is not significant because the rerandomizations show that it is within the range of what likely happens by chance.

D. The difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance.

Answers

The best conclusion to make based on the data is: The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.

Difference of means

Given:

Drug A= Decrease serotonin level by means of 36 nanograms per millimeter

Drug B= Decrease serotonin level by means of 20 nanograms per millimeter

Hence,

When we take a look at the difference of means data that was given, we would see that the different of means is significant  between the means of Drug A and Drug B due to chance or random variation.

Based on the fact that  the re-randomizations indicate that it is outside the range of what could happen by chance.

Therefore the correct option is A.

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Answer:

The difference of the means is NOT significant because the rerandomizations show that it is within the range of what likely happens by chance

Step-by-step explanation:

Took the test and this is 100% the answer. Hope it helps.

Identify the first 4 terms in the arithmetic sequence given by the explicit formula ƒ(n) = 8 + 3(n – 1).

Answers

Step-by-step explanation:

simple formula application :

a1 = 8 + 3×(1-1) = 8

a2 = 8 + 3×(2-1) = 11

a3 = 8 + 3×(3-1) = 14

a4 = 8 + 3×(4-1) = 17

...

Can anyone help please?

Answers

Answer:

part 1:

a) After 37.72 years, there will be $270,183.29421

b) After 11.9 years, there will be double the amount originally put in the account(60,015.17148)

part 2:

38 years

Step-by-step explanation:

a)

30000(1.06)^t

t=37.72

30000(1.06)^37.73 = 270,183.29421

b)

30000(1.06)^t

t=11.9

30000(1.06)^11.9 = 60,015.17148

part 2)

37.72 rounded to the nearest tenth is 38

... select this as the brainliest please!!...



The rate of interest on a loan is increased from 8.5% to 9% and the debtor has to pay Rs.25 more a year.how much is the loan.

Answers

Answer:

Step-by-step explanation:

0.09x - 0.085x = 25

0.005x = 25

x = 5000

The loan is for Rs 5000

Let S be a sample of size 31 from a normally distributed population Omega . It is given that the average of the data in S is 120 and the standard deviation is 18. Construct a 90% confidence interval [a, b] for the population mean based on the data in the sample.

Answers

Answer:

48 NO seña hfjxsmisns sisbxbd

Step-by-step explanation:

nzhejsbxbddndbhwksdyanvxydjd4mnnneknwnennnnnn

What is the distance between point C and point D?

Question 5 options:


A)


17 units


B)


13 units


C)


12 units


D)


√85 units

Answers

Answer:

B. 13 units

Step-by-step explanation:

let

(x1 , y1) = (-4 , -6)

(x2 , y2) = (1 , 6)

distance between CD = root (x2 - x1)^3 + (y2 - y1)

= root {1 - ( -4)}^2 + {6 - ( -6)}^2

= root {1 +4}^2 + {6+6}^2

= root 5^2 + 12^2

= root 25 + 144

= root 169

= 13 units ans

12 units is the answer for ur question

Consider the following. fourteen less than the total of a number and three Translate into a variable expression. (Use x for your variable. Do not simplify.)​

Answers

9514 1404 393

Answer:

  (x +3) -14

Step-by-step explanation:

The total of a number and 3 will be represented by (x +3). Fourteen less than that is ...

  (x +3) -14  or  -14 +(x +3)

Mark bought seeds, 5 packets of carrot seeds, 2 packets of
bean seeds, and 3 packets of pea seeds. If he randomly
selects 4 packets to plant, what is the probability that he
selects 2 packets of carrots, 1 packet of beans, and 1 packet
of peas?

Answers

Answer:

4/10=2/5 therefore the answer to 2/5

Betadine solution is a 10% povidone-iodine solution. Express this strength both as a fraction and as a ratio.

Answers

Step-by-step explanation:

Fraction =

[tex] \frac{10}{100} = \frac{1}{10} [/tex]

Ratio is 1 : 10

please give me correct answer​

Answers

Answer:

150 e udi,auwdbkhg

disha

eiwiwisj8293

ajesjhf

8ઈઘુઘ

How many hours will it take to complete a 45-km bike ride if you go 12km per hour the whole time?

Answers

Answer:

3.75 hours

Step-by-step explanation:

d = rt

where d is the distance, r is the rate and t is the time

45 = 12 t

Divide each side by 12

45/12 = t

3.75 hours = t

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