Use the compound interest formulas A=P1+
r
nnt and A=Pert to solve the problem given. Round answers to the nearest cent.
Find the accumulated value of an investment of $25,000 for 3 years at an interest rate of 7% if the money is a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously.

Use The Compound Interest Formulas A=P1+rnnt And A=Pert To Solve The Problem Given. Round Answers To

Answers

Answer 1

The accumulated value of an investment if the money is a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is $30731.4 $ , $30785.98  $30823.14 , 30841.95

What is Interest ?

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

[tex]\rm A = P( 1+ \dfrac{r}{n}) ^{nt}[/tex]

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ [tex]\rm e ^{rt}[/tex]

Therefore the accumulated value for

compounded Semiannually is

[tex]\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}[/tex]

A = $30731.4

Compounded Quarterly

[tex]\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}[/tex]

A = $30785.98

Compounded Monthly

[tex]\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}[/tex]

A = $30823.14

Compounded Continuously

[tex]\rm P = 25000 e ^{ 7 * 3 }[/tex]

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is

$30731.4 $ , $30785.98  $30823.14 , 30841.95

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Related Questions

Solve the equation.

3/4x+3-2= -1/4+1/2x+5

Answers

Answer:

15

Step-by-step explanation:

3x/4+1=19/4+1x/2

3x/4-x/2=19/4-1

x/4=15/4

collect like terms

x=15

Write the ratio using fraction notation and reduce.

HINT: Be sure to compare like units.

$5 to $35

A. 7
B. 15
C. 5
D. 17

Answers

The ratio using fraction notation of $5 to $35 would be 7.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

To convert a ratio into a fraction,

We will simply use the first number as the numerator and the second number as the denominator.

So the fraction = 35/5.

= 7

Since there are no more common factors, the fraction is in its lowest form which is 7.

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HELP!!!!!

The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?
g(x) = 3x-6
g(x) = 3x+6
g(x)=3*-6
g(x)=3*+6

Answers

The answer is g(x) = 3x - 6

Please help me with my math

Answers

Answer:

x = 120

y = 21

Step-by-step explanation:

Since j and k are parallel, the sum of x and 60 would be 180 because they are supplementary:

x + 60 = 180 subtract 60 from both sides

x = 120

The measure of x and (4y+36) is equal because they are alternate angles since the horizontal lines are also stated as parallel:

we know x = 120 so

120 = 4y + 36 subtract 36 from both sides

84 = 4y divide both sides by 4

21 = y

Given the function f(x) = −5x2 − x + 20, find f(3).

Answers

The answer is -28 I got you if you need more answers

number machine n -5 x 4

Answers

The output is
n - 5 × 4 = 4(n - 5)

Expand and simplify x(x + 2)(x + 4)

Answers

Answer:

Step-by-step explanation:

Comment

Expand the second and 3rd factors first. Then worry about the x.

Solution

x(x + 2)(x + 4)

first: x * x =  x^2

Outside: 4*x = 4x

Inside: 2*x = 2x

Last: 2*4 = 8

Combine

x^2  + 4x + 2x + 8

x^2 + 6x + 8

Now is the time to worry about the extra x

x(x^2 + 6x + 8)

remove the brackets.

x*x^2 + x*6x + 8*x                

Combine

Answer: x^3 + 6x^2 + 8x            

           

An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?

Answers

The inequality x ≤ 88 represents the situation, and the line graph first represents the solution to the inequality option first is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The missing options are in the picture, please refer to the picture.

We have:

An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane.

Let's suppose the number of tickets is represented by x

Total number of passengers = 175

The inequality can be framed:

x + 87 ≤ 175

x ≤ 88

Thus, the inequality x ≤ 88 represents the situation, and the line graph first represents the solution to the inequality option first is correct.

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If a gas filled balloons rises 40 feet in the 1 minutes, 60 feet in the 2 minute, and 80 feet in the 3 minute, how many feet will the balloon rise during the 15 minute

Answers

Answer:

600

Step-by-step explanation:

15*40=600

Drag the boxes to order the decimals from least to greatest from left to right.

316.011

306.324

306.359

Answers

Answer:

306.324

306.359

316.011

Step-by-step explanation:

Hope it helped!

Determine f(4) for A piecewise function f of x in three pieces. The function is defined by part 1, which is x cubed for x less than negative 3, part 2, which is 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than or equal to 4, and part 3 which is 5 times x plus 4, for x greater than 4..

23
24
41
64

Answers

Answer:

23

Step-by-step explanation:

seen it before


The sin (0) = - and lies in Quadrant III. Find the exact values of the sine
6'
and cosine of 20.

Answers

Answer:

Can you give exanation

I don't understand

A box in the shape of a rectangular prism has a width that is 5 inches greater than the height and a length that is 2 inches greater than the width. Write a polynomial expression in standard form for the volume of the box. Explain the meaning of any variables used.

Answers

The volume of the rectangular prism can be express in standard polynomial as follows:

x³ + 12x² + 35x

How to find the volume of a rectangular prism?

volume of a rectangular prism = lwh

where

l = lengthw = widthh = height

Therefore,

let

height = x

width = x + 5

length = x + 5 + 2 = x + 7

Therefore,

volume = x(x + 5)(x + 7)

volume = x(x² + 7x + 5x + 35)

volume = x(x² + 12x + 35)

volume = x³ + 12x² + 35x

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tony invest 2000 at a 4.5 percent rate.​

Answers

Answer:

$2,999

Step-by-step explanation:

A = P(1 + r) ^ tA = 2000(1 + .045) ^ 9A ≈ 2999

which of the sentence is true?

Answers

Answer:

The graph of the circle is not a function

what does 5r-r-9=15 look like after combining like terms ?
and whats the answer for r?

Answers

The value of r from the expression is 6

Simplifying expression

Given the expression below;

5r-r-9=15

Add 9 to both sides

5r - r - 9 + 9 = 15 + 9

4r = 15 + 9

4r = 24

After combining the like terms the expression will be 4r = 24

4r/4 = 24/4

r = 6

Hence the value of r from the expression is 6

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Dixie lives in a $67,000 wood house in the country whose contents are valued at $12,000. She wants to know her monthly property insurance premium. Use the table above to calculate her monthly property insurance premium.

Answers

Without the table indicating the stated premium rates and applicable discounts, the monthly property insurance cannot be computed. Hence, on the assumption that the rate is 2.5% and the discount applicable is 7.5% the premium per month will come to $152.24

What is Property Insurance?

The simple definition of Property Insurance is, it is an insurance policy that covers a policyholder for the structure of a building and its contents against stated or agreed perils.

What is the calculation for the above?

Given (based on assumption) that the applicable annual rate is 2.5%

and that:

Value of Wooden House = $67,000Value of the contents of the House = $12,000Applicable discount = 7.5% of premium/annum

Hence annual premium will be:

= (67,000 + 12000) * (2.5/100) * 0.925

Annual Premium Payable = $1,826.89.............A

Recall that we are asked to derive the monthly Insurance premium.

This is thus given as: Answer in A/12

→  1,826.89/12

= $152.24

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Name the types of angles shown?

Answers

Answer: B and C

Step-by-step explanation:

Let's start off with some definitions.

Supplementary Angles: Two angles that add up to 180°.

Right Angle: One angle equal to 90°. Also identified with a square on the angle.

Complementary Angles: Two angles that add up to 90°.

Straight Angle: A straight line, which equals to 180°.

Right off the bad, we can knock off A and D because there is no proof of those being seen.

The angle <EFH is a right angle because it is equal to 90°. If you pay close attention, the angles <EFG and <GFH both add up to 90°, making them complementary angles.

Therefore, the correct answers are B and C.

I hope this helps! Pls mark brainliest!! :)

Let f(x)=6/-2+2e^-0.3x. what is f(4)? enter your answer rounded to the nearest tenth

Answers

The value of the function f(x)=6/-2+2[tex]e^{-0.3x}[/tex] at x=4 after rounded to the nearest tenth is -2.4.

Given Function of x : f(x)=6/-2+2[tex]e^{-0.3x}[/tex]

The given function showing the relationship between x and f(x) is f(x)=6/-2+2[tex]e^{-0.3x}[/tex] where e is exponential and we have to find the value of f(4) by just putting the value of x=4 in the given function and round to the nearest tenth means replacing a number with an approximate value.

f(4)=6/-2+2[tex]e^{-0.3*4}[/tex]   ( The value of e is 2.7812)

f(4)=-3+2[tex]e^{-1.2}[/tex]                    

f(4)=-3+2*0.30119   (The value of [tex]e^{-1.2}[/tex] is 0.30119)          

f(4)=-3+0.60238

f(4)=-2.3972

Round -2.3972 to tenth is -2.4.

Hence the value of function of at x=4 is -2.4.

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The value of f(4) is -4.3.

The function is a relation between two different sets X and set Y which are in one-one or many-one relation. Here set X is called as the domain and set Y is called as the codomain.

For example: f(x)=3x+9

To get the value of the function at any point of x, we have to put the number in the function to get its function value.

For example the value of f(x) in above function at x=a will be f(a)=3a+9

Similarly given function in the question

[tex]f(x)=\frac{6}{-2+2e^{-0.3x}}[/tex]

to get the value of f(x) at x=4 put the value of x in the function,

[tex]f(x)=\frac{6}{-2+2e^{-0.3*4}}[/tex]

⇒[tex]f(x)=\frac{6}{-2+2e^{-1.2}}[/tex]

⇒f(x)=-4.3

Therefore the value of f(4) is -4.3.

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Kitchen chairs are purchased wholesale for $36 each by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale?
$46.08
$57.60
$92.16
$115.20

Answers

I think it is $92.16

Which function represents the inverse of function f?

Answers

Answer: Choice [B]

Step-by-step explanation:

Hii, I'd love to help you out! (:

This particular problem is all about finding inverse functions.

This can be done in 3 easy steps, which are shown below.

Replace f(x) with ySwitch x and y placesSolve for y

The process is shown below.

[tex]\multimap\quad \tt f(x)=3x+5 \\ y=3x+5\\ x=3y+5\\Solve\;for\;y[/tex]

[tex]\multimap\quad \tt x=3y+5\\x-5=3y\\\cfrac{x-5}{3}=y[/tex]

Why doesn't our answer show up among the answer choices? Has all of our hardwork been in vain?

Ofc not! There's just one more thing that can be done to simplify our answer.

[tex]\tt \cfrac{x}{5}-\cfrac{5}{3}[/tex]

We're getting closer!

[tex]\tt \cfrac{1}{3}x-\cfrac{5}{3}[/tex]

Voila! There's our answer, cheers! (;

________________

Hope I helped!

Best wishes.

Reach far.

Aim high.

Dream big.

______________

What is the completely factored form of x4y – 4x2y – 5y? y(x2 – 5)(x2 1) y(x2 5)(x2 – 1) (x2y – 5)(x2 1) (x2y 5)(x2 – 1)

Answers

Answer:

y (x² + 1) (x² - 5)

Step-by-step explanation:

Factorization:

   Take 'y' from each term.

x⁴y - 4x²y - 5y = y[x⁴ - 4x² - 5]

Now factorize x⁴ - 4x² - 5.

            Sum = -4

        Product = -5

        Factors =  -5 , 1  

When we add (-5) + 1, it gives (-4) and when we multiply (-5)*1, gives (-5).

x⁴ - 4x² - 5 = x⁴ + x² - 5x² - 5

                 = x²(x² + 1)  -5(x² + 1)

                 = (x²+ 1) (x² - 5)

x⁴y - 4x²y - 5y = y (x² + 1) (x² - 5)

4 /3 ​ r/ 6 ​ start fraction, 3, divided by, 4, end fraction, equals, start fraction, 6, divided by, r, end fraction r =

Answers

The value of r is 6

Given start fraction and end fraction are 4/3,r/6 and 3 divided by 4 end fraction which is equal to start fraction 6 divided by r end fraction  

We need to calculate the value of r

Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line.

It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line. The total number of identical objects in a collection or the total number of equal sections that the whole is divided into are both displayed

According to the statement the equation formed

4/3*r/6*3/4 = 6/r

Solving the equation by 4/3*3/4 = 1

Hence 1*r/6 = 6/r

Therefore r^2 = 36

r = 6

Hence the value of r is 6

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A box contains
toffee, coffee, orange, mint and hazelnut
flavour chocolates.
The ratio of toffee: coffee: orange : mint chocolates is 5:4:2:3
The
probability of picking a hazelnut chocolate i5 g
How many hazelnut chocolates are in the box?

Answers

The probability of picking a hazelnut chocolate is 1/5 and the number of hazelnut chocolates in the box is 1

How to determine the probability

Note that the ratios =  5:4:2:3

toffee: coffee: orange: mint chocolates = 5:4:2:3:1

Total ratio = 15

Probability of picking a hazelnut chocolate = ratio of hazelnut chocolates/ total ratio

Probability of picking a hazelnut chocolate  = [tex]\frac{1}{15}[/tex]

The number of hazelnut chocolates in the box is gotten from the ratio which is 1

Therefore, the probability of picking a hazelnut chocolate is 1/5 and the number of hazelnut chocolates in the box is 1

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The line y = 2x intersects the line y = x + 6 at the point A. Find the equation of the line that passes through A and has gradient 3

Answers

Answer:

Step-by-step explanation:

What are the solutions to the following system of equations?
y = x² + 7x-5
2x - y = -9

Answers

Answer:

Step-by-step explanation:

y = x² + 7x - 5 ............ (1)

2x - y = - 9 ................ (2)

(1) ------> (2)

2x - ( x² + 7x - 5 ) = - 9

- x² - 5x + 14 = 0 ........ (3)

- 1 × (3)

x² + 5x - 14 = 0

( x + 7 )( x - 2 ) = 0

[tex]x_{1}[/tex] = - 7 and [tex]x_{2}[/tex] = 2

2( - 7) - [tex]y_{1}[/tex] = - 9 ⇒ [tex]y_{1}[/tex] = - 5

2(2) - [tex]y_{2}[/tex] = - 9 ⇒ [tex]y_{2}[/tex] = 13

The solutions of system are

( - 7, - 5 ) and ( 2, 13 )

Select the correct answer.
In the given figure, m AD = 79° and m

Answers

Answer:

2 or 3

Step-by-step explanation:

write it down dummy

Find one-third of the sum 9 and 12.

Answers

Answer:

7

Step-by-step explanation:

9 plues 12 = 21

21 divide by 3

= 7

Answer:

7

Step-by-step explanation:

9 + 12 = 21

one third of 21 is the same as 21 divided by 3

so 21 divided by 3

= 7

so 7 is the answer

OR

9 divided by 3 = 3

12 divided by 3 = 4

3 + 4 = 7

Here is a rectangle.
A (-3,0)
D(-2,-3)
B (3,2)
C (4,-1) What is CD unit number?

Answers

Step-by-step explanation:

Let the area of rectangle with given points are as follows :

A(-3,3)

B(3,2)

C(4,-1) = C( x1,y1)

D(-2,-3) = D( x2, y2)

Now,

The distance of CD = root under

(x2-x)^2 +( y2 - y1)^2

= root under (-2-4)^2 + ( -3+1)^2

= root under (-6)^2 + (-2)^2

= root under 36 + 4

= root under 40

= 2root 10

Therefore; the unit number if CD is 2 root 10.

In order to determine the height of the flagpole in the school yard, Cindy is going to use similar triangles. The
length of Cindy's shadow is 5 feet. Measuring the length of the shadow of the pole at the same time, she finds
it to be 12.5 feet. Using this information and the fact that Cindy's height is 4 feet, give the height of the pole
to the nearest hundredth of a foot.

Answers

The height of the pole is 12.5 feet.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Cindy's shadow is 5 feet.

length of the shadow of the pole at the same time, she finds it to be 12.5 feet.

So,

12.5/5=x/5,

62.5=5x

x= 12.5 feet.

Hence, the height of the pole is 12.5 feet.

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