Find the accumulated value of an investment of $10,000 for 7 years at an interest rate of 5.5% if the money is a. Compounded semiannually;b. Compounded quarterly; c. Compounded monthly; d. Compounded continuously

Answers

Answer 1

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Annual interest rate (i)= 0.055

Initial investment (PV)= $10,000

Number of years (n)= 7

To calculate the future value (FV), we need to use the following formula (except in d):

FV= PV*(1+i)^n

a.

Semiannual interest rate= 0.055/2= 0.0275

Number of semesters= 7*2= 14

FV= 10,000*(1.0275^14)

FV= $14,619.94

b.

Quarterly rate= 0.055/4= 0.01375

Number of quarters= 7*4= 28

FV= 10,000*(1.01375^28)

FV= $14,657.65

c.

Monthly interest rate= 0.055/12= 0.0045833

Number of months= 7*12= 84

FV= 10,000*(1.0045833^84)

FV= $14,683.18

d.

To calculate the future value using continuous compounding, we need to use the following formula:

FV= PV*e^(n*i)

FV= 10,000*e^(7*0.055)

FV= $14,696.14


Related Questions

Find the mean of the data in the bar chart below. coins collected by each person in a scavenger hunt.

Answers

Answer:

There's no chart below

Step-by-step explanation:

Answer:

6.2 coins he will have

Step-by-step explanation:

its the anwser on han i go it wrong :( the first time and 12 was the anwser!

Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?​

Answers

Answer:

13 inches

Step-by-step explanation:

I have done a Little draw because I don't know how i can explain you this exuse me

Comparing Ratios
Which ratios are less than 8 to 10? Check all that apply.
16
20
3:5
50
100
13.15

Answers

Answer:

3/5 and 50/100

Step-by-step explanation:

changing the ratios into fractions are an easy way to check,

8/10 = 0.8

16/20 = 0.8

3/5 = 0.6

50/100 = 0.5

13/15 = ~0.8666

HELPPPPPPPP MEEEEE PLEASEEEE

Answers

Step-by-step explanation:

a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.

given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.

that means for ACDF that the sides DC and FA are equally long.

DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.

based on the SAS criteria this confirms that DF is congruent to AC.

the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.

so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have

360 = 4×angle

angle = 90 degree.

so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle

graph the solution of this inequality: 4/9 x- 10 > x/3-12

Answers

Answer:

7

Step-by-step explanation:


A package of 3 pairs of insulated gloves costs $26.07. What is the unit price of the pairs of
gloves?

Answers

Answer:

8.69 per pair

Step-by-step explanation:

Take the total cost and divide by the number of pairs

26.07 /3

8.69 per pair

The answer would be $8.69 because you divide the total price by the number of items you have

To paint a wooden cube, Pinocchio used 4 gram of paint. When it is dry, he cut the cube into 8 equal cubes of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of smaller cubes?

Answers

Answer:

game1321.netlify.app

Step-by-step explanation:

This is a test sorry I'm trying to see if you can post links in comments

The teacher and her students are playing a game. The students take turn to say from 1 to 100 (1 student says 1 number in each turn). However, in the turn that students need to say the number which has the digit 7, they need to say "Buzz" instead. For example, if Hoa has number 17 in her turn, Hoa will say "Buzz" instead of "seventeen". How many times will the students say "Buzz" in total?

Answers

Answer:

19

Step-by-step explanation:

If the number has atleast 1 digit that is 7, they say "Buzz."

7

17

27

37

47

57

67

70

71

72

73

74

75

76

77

78

79

87

97

I counted 19.

I hope this helps!

pls ❤ and give brainliest pls

If f(x) = x/2 -2 and g(x) = 2x+ +x= 3, find (f + g)(x).

Answers

Answer:

.

.

.❥︎ᴀᴀɴᴋʜ ᴜᴛʜɪ ᴍᴏʜᴀʙʙᴀᴛ ɴᴇ ᴀɴɢᴅᴀɪ ʟɪ ,

.ᴅɪʟ ᴋᴀ sᴀᴜᴅᴀ ʜᴜᴀ ᴄʜᴀɴᴅɴɪ ʀᴀᴀᴛ ᴍᴇ ❣︎

.

.

Mrs. Helton is making gift bags as prizes for her math classes. She has 30 little bags of Hershey Kisses and 15 Blow Pops. What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?​

Answers

Answer:

15

Step-by-step explanation:

For this we must find the GCF, or greatest common factor, because we cannot have multiples.

Factors of 30:

1 , 2, 3, 5, 6, 10, 15, 30

Factors of 15:

1, 3, 5, 15

GCF = 15

Each bag will have 2 Hershey bags, and 1 Blow Pop

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which shapes have the greatest area?
(Select all that apply.)

Answers

Answer:

the trapiezium

Step-by-step explanation:

It has a area of 4 which is the highest

The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
3(4x3– 1) – (9x2 + 4x)
4x(3x2 + 1) – 3(3x2 – 1)
3x(4x – 3) – (3+ 4x)
3x2(4x – 3) + 1(4x – 3)
IM ON EDGE

Answers

Answer:

12x^3-9x^2+4x-3

3(4x^3-1)-(9x^2+4x)

therefore option A is right

thank you, and mark it as brainliest if u find it useful

A runner jogged 4 miles in ten laps around a circular
track. What is the greatest distance straight across
the track?

Answers

Answer:

.1273 mi = 627.2 feet

c = 2[tex]\pi[/tex]r

.4 = 2[tex]\pi[/tex]r

r = [tex]\frac{.4}{2\pi }[/tex]

r = [tex]\frac{.2}{\pi }[/tex]

d = [tex]\frac{.4}{\pi }[/tex]

d = .1273 mi = 627.2 feet

Step-by-step explanation:

find the length of UT

Answers

Answer:

I think it would be

A .39

I hope that it helps you

Combine like terms. (Simplify your answer completely.)
2/5x+6+8/5x

Answers

Answer:

16/5x

Step-by-step explanation:

as there is 2 5x so it will be 2 by 5x +6+ 8 by 5x

next there is two 5x and it will be 1 5x

then we will add 2+6+8=16

and there is already 5x ..simple.

hope it will help

Find the domain of h(x) = 2x - 9 given a range of (-7,5,11)

Answers

Answer:

D = 1,7,10

Step-by-step explanation:

-7 = 2x - 9

x = 1

5 = 2x - 9

x = 7

11 = 2x - 9

x = 10

the domain of (1,7,10)

please help if you can

Answers

Answer:

x= 10

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(8+x) * 8 = (9+-3+x) * 9

8(8+x) = 9(6+x)

Distribute

64+8x=9x+54

Subtract 8x from each side

64 = x+54

Subtract 54 from each side

10 =x

1.Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c

Answers

given the function f(x)=-2c+cx-x-x<2 you would simply the function to fill out the graph

Here we have a quadratic function and we want to find the value of a constant with a given restriction.

We will find that c = 8.

So we have the function:

[tex]f(x) = -2c + cx - x^2[/tex]

We know that:

[tex]f(5)^{-1} = -1 = \frac{1}{-2c + c\cdot 5 - (5)^2}[/tex]

Notice that the above equation means that:

[tex]-2c + c\cdot5 - (5)^2 = -1[/tex]

Then we just need to solve the above equation for c:

[tex]-2c + 5c - (5)^2 = -1\\\\(-2 + 5)\cdot c - 25 = -1\\\\3\cdot c = -1 + 25\\\\3\cdot c = 24\\\\c = 24/3 = 8[/tex]

So we found that the value of c is 8.

This means that the function is:

[tex]f(x) = -16 + 8\cdot x - x^2[/tex]

You can see the graph below:

If you want to learn more, you can read:

https://brainly.com/question/24215686

Which plane geometry has countless symmetry axis ? (except for circle)
Sorry if there are some grammatical mistakes in my question because English isn't my first language. Thank you very much !

Answers

Countless symmetry axis of a parabola is vertical line which divides the parabola into two congruent halves.

The axis of symmetry always passes through vertex of parabola. These will cause the plane to divide into two parts.

The geometric shape may have countless symmetry axis. This actually divides the shape into two halves and creates a mirror like effect.

The x-coordinate of vertex is equation of axis symmetry of parabola. Lets say if we take an example of quadratic equation which is ,

y = ax^2 + bx + c , here in this equation the axis of symmetry is vertical line which is x = - b^2 a

Learn more at https://brainly.com/question/24375722

Find m<DCV and m<VBD​

Answers

Answer:

∠ DCV = ∠ VBD = 50°

Step-by-step explanation:

The inscribed angles DCV and VBD are half the measure of their intercepted arcs, that is

∠ DCV = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

∠ VBD = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

is 23/17 a rational number?

Answers

Answer:

rational number

Step-by-step explanation:

a rational number can be written as a/b where a and b are integers

23/17 = a/b where a = 23 and b = 17

This is a rational number

YES it’s a rational number !!!!!!!! :)

1.4 (x + 5) + 1.6x = 52

Simplify <3

Answers

1.4x+7+1.6x=52
3x+7=52
3x=45
x=15

What is the correct answer to this multiple choice question? Please help!!!

Answers

Answer:

By translating the function cos(x) 90 degrees to the right.

Step-by-step explanation:

The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.

If you're wondering why the diagram shows a shift in

[tex]\pi / 2[/tex]

That's just the equivalent to 90 degrees in radians.

Determining a Local Maximum and Minimum

Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___

Answers

Answer:

x=-1x=-3

Step-by-step explanation:

Algebra level

halp me children it's important​

Answers

Answer:

64 cm³

Does the answer help you?

whats (-3,6) and (3,4) in y=mx+b form?

Answers

Answer:

y = -1/3x + 5

Step-by-step explanation:

First you want to find the slope with the formula y2-y1/x2-x1.

4-6/3-(-3)

-2/6

-1/3

Second you want to substitute one point and the slope to find the y-intercept.

6 = -3(-1/3) + b

6 = 1 + b

5 = b

Third you can fill in the information we solved for.

y = -1/3x + 5

Best of Luck!

which expression is equivalent to (4^-3)^-6

a.) 4^3
b.) 4^-9
c.) 4^-18
d.) 4^18

Answers

Answer:

Answer:

The answer is d.) 4^18

PLEASE help me!!!
Amina has two bags.
In the first bag there are 3 red balls and 7 green balls.
In the second bag there are 5 red balls and 4
green balls.
Amina takes at random a ball from the first bag.
She then takes at random a ball from the second bag.
(a) Complete the probability tree diagram.

Answers

Answer:

Step-by-step explanation:

first

3/10 & 7/10

second

5/9 & 4/9

please help have a lot of lessons

Answers

Answer:

SA = 46 in^2

Step-by-step explanation:

SA = 2lh + 2lw + 2hw

SA = 2(5)(1) + 2(5)(3) + 2(1)(3)

SA = 10 + 30 + 6

SA = 46

Find the length of the third side .

Answers

Answer:

a^2 + b^2 = c^2

4+16 = c^2

20 = c^2

c = [tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]

Step-by-step explanation:

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