How much money is needed to be invested now to obtain $12,100 8 years from now if this amount is invested at 7.25% compounded continuously?

Answers

Answer 1

Answer:

$6,911.92

Step-by-step explanation:

Given the following

Amount A = $12,100

Time t = 8yrs

Rate r = 7.25%

Required

Principal P

Using the compound interest formula;

A = P(1+r)^n

12,100 = P(1+0.0725)^8

12,100 = P(1.0725)^8

12100 = 1.7506P

P = 12,100/1.7506

P = 6,911.92

Hence the amount invested would have been $6,911.92


Related Questions

The overnight temperature in Tampa never
reached below 40°F during November.
Which inequality shows that?
A x < 40
B x> 40
© x= 40
DX > 40
Truman puts money into his savings

Answers

Answer:

Step-by-step explanation: C is the answer

Professor Ivy has given the following weights to her grades: Weight of Area Homework 5% Projects 25% Quiz 25% Exams 45% Your friend has the following averages: Homework: 95 Projects: 89 Quizzes: 80 Exams: 86

Answers

Answer:

The said friend's grade in Professor Ivy's class is 85.7.

Step-by-step explanation:

Assuming the question asks for your friend's grade in Professor Ivy's class.

0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7

What is an equation of the line that passes through the points
(3,-3) and (-3,-3)?
(1) y = 3
(3) y=-3
(2) x =-3
(4) x=y

Please help asap

Answers

Answer:

(3) [tex]y=-3[/tex]

Step-by-step explanation:

The two points have the same y coordinates so the slope is zero and because both points have an y of -3 the y coordinate will always be -3.

In a geometric sequence, the seventh term exceeds the fifth term by 1,920. Find the sum of
the first eleven terms if the common ratio of the sequence is 2. (81880)​

Answers

that's geometric sequence

T7 = T5*r^2 = T5+1920
r = 2, so

4*T5 = T5 + 1920
3T5 = 1920
T5 = 640

640 = 2^4 * 40

So, a=40 and the sequence is

40 80 160 320 640 1280 2560 5120 10240 20480 40960 ...

Note that 2560 = 640 + 1920


PLEASE DONT CLICK ON ANY LINKS ON HERE!! BE CAREFUL.
they lead to a virus pleade be careful.

I don’t know what the answer for this

Answers

Answer:

isoceles and right

Step-by-step explanation:

Answer:

I think the answer us B........

Your teacher has disabled instant marking. Your marks will appear after the due date.
There are 1200 students at a school.
Each student has either a packed lunch or a school dinner.
62% of the students have school dinners.
55% of the students are girls.
45% of the girls have packed lunches.
62%=
How many boys have school dinners?
You must show all your working.

Answers

Answer:

38

Step-by-step explanation: 100 - 62= 38

I am not sure of my answer tho

A computer randomly puts a point inside the rectangle. What is the probability that the point lands in triangle T?

Answers

Answer:

87.5%

Step-by-step explanation:

The area of the entire rectangle is 8 by 6,

8x6=48 so the area is 48 units^2.

The area of the triangle is A=1/2bh

A=1/2(2)(6)

A=1(6)

A=6 units^2

6/48=0.125

0.125=12.5%

You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.

100-12.5=87.5

There is an 87.5% chance it will not land in the triangle


The manager of a restaurant recorded how many people were in different groups of
customers and how much those groups spent on food and beverages. The scatterplot below
shows the data she recorded.

Answers

Answer:

$135

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hows it goin my boi

Brainliest goes to whoever explains the answer best pls help

Answers

Answer: (-2,9)

Step-by-step explanation: I did this not too long ago!

Solve equation [2] for the variable  y  

 [2]    y = 5x + 19

// Plug this in for variable  y  in equation [1]

  [1]    (5x+19) + 3x = 3

  [1]    8x = -16

Solve equation [1] for the variable  x

  [1]    8x = - 16

  [1]    x = - 2

By now we know this much :

   y = 5x+19

   x = -2

Use the  x  value to solve for  y

   y = 5(-2)+19 = 9

Answer (-2,9)

the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3

Answers

The question is incomplete. The complete question is :

The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)

Solution :

Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]

Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]

V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]

∴ r = 1

[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]

[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]

[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex]   cm/s

Surface area, [tex]$A = 4 \pi r^2$[/tex]

    [tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]

[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]

    [tex]$=14 \ cm^2/s $[/tex]

Solve 2(1/8)^1-2x = 16^x+6

Answers

Answer:

You cannot solve this, but you can try to simplify it: 16^x = −2x + −23/4

Does anyone know this, scammers keep answering it

Answers

Answer:

Blank 1: 50

Blank 2: 95

Blank 3: is not

Blank 4: is not

Step-by-step explanation:

A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.

2) If you feel you have a "fixed mindset" right now, what would it
take for you to change it to a 'growth mindset"?
Please help

Answers

Answer:

Watch tv or play a game that's would help

Step-by-step explanation:

Answer:

Multiple steps and time.

Step-by-step explanation:

Looking at things in a positive way, even if it is a small daily thing will gradually help create a growth mindset.

I’ll give brainliest

Find the area of the smaller sector.
Round to the nearest tenth.
500
7 1371
Area = [? ]ft2

Answers

Answer:

22.2

Step-by-step explanation:

Hello There!

This is the sector area formula

[tex]A=\frac{0}{360} (\pi r^2)[/tex]

where 0 = sector angle

and r = radius

The given sector has a measure of 50 degrees and a radius of 7.13

Knowing this information we plug it into the formula

[tex]A=\frac{50}{360} (\pi 7.13^2)\\\frac{50}{360} =0.1388888889\\7.13^2=50.8369\\50.8369\pi =159.7088316\\159.7088316*0.1388888889=22.18178216[/tex]

so we can conclude that the area of the sector is 22.18178216 ft²

finally we round to the nearest tenth

and get that the answer is 22.2

Determine the value of w and x in circle M below.
H
w
106
A
Y
M
W=

Answers

Answer:

x= 32

w=74

Step-by-step explanation:

my explanation is in the picture

The value of w and x in circle M below  mathematically given as

w = 74 , x = 32

What is the value of w and x in circle M below?

Generally, the equation for the sum of angle of a triangle  is mathematically given as

w+x+c = 180

w+a = 106

w+x = 106

therefore,

106 +c = 180

c = 180-106

c = 74

w = 74

thus,

w+x+c = 180

74 + x + 74 = 180

x = 180 -148

x = 32

In conclusion, the value of w and x in circle M below is

w = 74 , x = 32

Read more about Angle

https://brainly.com/question/14362353

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

1) Congruent

2) Vertical angles

3) 12x - 18 = 8x + 10

4) x = 7

Step-by-step explanation:

1)

Congruent because they're vertical angles.

2)

Vertical angles

3)

12x - 18 = 8x + 10

4)

12x - 18 = 8x + 10

12x - 8x = 10 + 18

4x = 28

x = 7

how do you tell someone you like them if you get nervous around them?
57+ points if you answer the question

Answers

Answer:

Just be yourself.

Step-by-step explanation:

You might get different answers, but this one is something you should definitely do!

Hope this helped...have a great day <3

Answer:

I think that you should just try and be open about it. for example instead of telling them in person tell them by text or over a note. Also just trust your gut and how you feel! stay yourself.

Step-by-step explanation:

being yourself is probably why he will like you back.

How to show work on this one topic is angles formed by 2 chords and secants

Answers

Answer:

Step-by-step explanation:

Anyone know the answer

Answers

Answer:

20 and 60

Step-by-step explanation:

If x=25, angle one is 20 degrees, and angel two is 60 degrees.

Choose all the possible solution that makes the inequality statement True

x + 15 ≤ 35

O 20, 21, 22

O 18, 19, 20

O -18,-19,-20

O 50, 51, 52

Answers

Answer:

18, 19, 20

-18,-19,-20

Step-by-step explanation:

x + 15 ≤ 35

x ≤ 35 - 15

x ≤ 20

x must be 20 or less than it

Solve the system of equation

Answers

Answer:

x = 0

y = 1

z = -4

Step-by-step explanation:

6x + 4y + 1z = 0 => z = -6x -4y

If 12x - 4y - 5z = 16, then

12x - 4y - 5(-6x - 4y) = 16

12x - 4y + 30x + 20y = 16

42x + 16y = 16 => 21x + 8y = 8

then y = (8 - 21x)/8

if -24x - 4y + 5z = -24

-24x - 4y + 5(-6x -4y) = -24

-24x - 4y - 30x - 20y = -24

-54x - 24y = -24 => -9x - 4y = -4

substitute y = (8 - 21x)/8

then -9x - 4(8 -21x)/8 = -4

-9x - 1/2(8 -21x) = -4

times 2 in both side

-18x - (8 - 21x) = -8

-18x - 8 + 21x = -8

3x = -8 + 8

3x = 0

x = 0

then y = (8 - 21x)/8 = (8 - 21(0))/8 = (8 - 0)/8 = 8/8 = 1

then z = -6x -4y = -6(0) - 4(1) = 0 - 4 = -4

Hope this helps

Explain:In (4a)^3


•c

Answers

Answer:

Step-by-step explanation:

(4a)^3

4^3 a^3

=12a

Which representation shows a proportional relationship between x and y?

Answers

Answer:

is taht delta math

Step-by-step explanation:

of so than we r in this togethrr LOL

Find the common difference of the arithmetic sequence -2, -4, -6, ...

Answers

Answer:

-8

in this the arthmatic difference is table of 2

Answer:

the common d/f is that -2>-4>-6

Samantha answered 90% of the questions on her math test and 80 % of the questions on her history test correctly. If each test had 50 questions , how many questions in all did she answer correctly ?

Answers

Answer:

Samantha got 85 questions right.

Step-by-step explanation:

90% of 50 is 45.

80% of 50 is 40.

40 + 45 = 85

:)

Answer:

95

Step-by-step explanation:

Im pretty sure It's 95 because if you get a 90% on a test with 50 questions, you would've gotten 45 correct. If you get an 80% on a test with 50 questions, you would've gotten 40 correct. Then add them.

Pyramid A has a height of 10 feet and a volume of 120 cubic feet. The base of Pyramid B has the same dimensions as Pyramid A but is twice as tall. How is the volume affected by the change in the dimensions? (PLEASE HELP!)

Answers

A volume of a pyramid=base area×height/3

both the bases have same dimensions

pyramid B is twice the height of A

therefore the volume is doubled

Answer:

Pyramid B = 240 cubic feet, the volume doubled

Step-by-step explanation:

Pyramid A: 120/10 =12,   12 x 3 = 36 ft² base

Pyramid B: 36 ft² base x 20 ft tall x 1/3 = 240 cubic feet

Find a equivalent for 24/100

Answers

Answer:

Step-by-step explanation:

Divide the numerator and denominator by 2.

[tex]\frac{24}{100}=\frac{12}{50}[/tex]

To find equivalent fractions, we have to multiply the numerator and denominator by the same number or divide the numerator and denominator by the same number

Select the correct answer.
Sharl started to use the grouping method to factor the expression x2 + 5x - 84 as shown.
x2 + 5x - 84
x2 + 12x - 7x - 84
Which expression could be the next step in completely factoring the expression?
OA. x(x+12) - 7(x+12)
B. (x-12)+7(x - 12)
OC. (x + 12 - 7) - 84
OD. x + 12x + 7(x - 12)

Answers

Answer:

A.[tex]x(x+12) -7(x+12)[/tex]

Step-by-step explanation:

Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

[tex]x^2 +5x - 84[/tex]

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

[tex]x^2 +12x - 7x - 84[/tex]

Now take out the common factors,

[tex]x(x+12) -7(x+12)[/tex]

Thus, the correct option is choice (A).

write the equation of the line when m =
[tex] \frac{1}{3} [/tex]

Answers

The answer would be Y=1/3-5

Using compatible numbers, which is the best estimate of (28.5)(7.1)?
36
40
210
300

Answers

Answer:

210

Step-by-step explanation:

29*7 = 203, 203 is the closest number to 210!

Answer:

210

Step-by-step explanation:

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