A person places $757 in an investment account earning an annual rate of 8.2%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.

Answers

Answer 1

Answer: 3902.4633

Step-by-step explanation: 3902.46 from deltamath


Related Questions

A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)

Answers

Answer:

h = 4.22 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pie * r^2 * h

We have it that the radius is 6 cm

V = pie * 6^2 * h

for the sphere, we have it that;

V = 4/3 * pie * r^3

V = 4/3 * pie * 4.5^3

We can proceed to equate both volumes;

pie * 6^2 * h = 5/3 * pie * 4.5^3

pie on both sides cancel out

6^2h = 5/3 * 4.5^3

36h = 151.875

h = 151.875/36

h = 4.22 cm

helppp meeeee plsssss

Answers

Answer: i have no idea

Step-by-step explanation: what’s even the answer your looking for?

4(8x−1) = 19+32x
I need help with a question I am kinda stuck on please someone help and please give me some steps for it at least some.

Answers

Answer: 0 = 23

Almost positiveee :))

Step-by-step explanation:

2. What is the value of win this equation?
5w+ 3 = 9

Answers

Answer:

w = 1.2 or 6/5

Step-by-step explanation:

math

The new Bamo Super Ball has a rebound ratio of 0.97. If you dropped the ball from a
height of 125 feet, how high will it bounce on the tenth bounce?

Please help thank you!!

Answers

Answer:

92.18 feet

Step-by-step explanation:

t(n)=125(.97)^x

t(10)=124(.97)^10

Sequence cant have partial or discrete bounce

Answer:

92.18 ft

Step-by-step explanation:

The rebound ratio 0.97 means the ball will rebound 97% of its height on the previous bounce.

Bounce    Height

1                125(0.97) = 121.25

2               125(0.97)(0.97) = 117.6125

3               125(0.97)(0.97)(0.97) = 114.084125

See a pattern?

Bounce     Height

1                125(0.97)

2               125(0.97)^2

3               125(0.97)^3    the exponent matches the bounce number

Tenth bounce:

10             125(0.97)^10 = 92.18 (rounded to 2 places)

50 POINTS!! Geometry!!

Answers

Answer:

Step-by-step explanation:

since RS || VU   ( parallel to )   then the angle V is equal to ∠ VRS , also we are given that ∠VRT = 71°  so subtract  ∠VRT from ∠VRS

103° - 71° = 32°

so ∠TRS = 32°

next find ∠U,  we know that ∠U + ∠VRT= 180°  ( b/c they are supplementary )

we are also told that  ∠VRT = 71°

∠U = 180 - 71

∠U = 109°

Since RS || VU (parallel to) then the angle V is equal to VRS, also we are given that VRT = 71°

So subtract VRT from VRS,

103° -71° = 32°

So, TRS = 32°

next find U, we know that ZU + ZVRT= 180° (b/c they are supplementary)

We are also told that <VRT = 71"

U = 180° - 71°

U = 109° is the answer.

2. Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points. Part A: What is the probability that a randomly selected score is greater than 81 points? Part B: What percentage of students scores are between 69 and 78? Part C: A student who scores a 84 is in the _______________ percentile.

Answers

Using the normal distribution, it is found that:

A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

B. 81.85% of students scores are between 69 and 78.

C. The student scored in the 99.87th percentile.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, as:

[tex]\mu = 75, \sigma = 3[/tex].

Item a:

The probability is one subtracted by the p-value of Z when X = 81, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81 - 75}{3}[/tex]

Z = 2.

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

Item b:

The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:

X = 78:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 75}{3}[/tex]

Z = 1.

Z = 1 has a p-value of 0.8413.

X = 69:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 75}{3}[/tex]

Z = -2.

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

81.85% of students scores are between 69 and 78.

Item c:

The percentile is the p-value of Z when X = 84, multiplied by 100, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84- 75}{3}[/tex]

Z = 3.

Z = 3 has a p-value of 0.9987.

The student scored in the 99.87th percentile.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

how do you find the slope from x+y=3?

Answers

X+y=3. X-x+y=3 -1x. Y=-1x +3

Answer:

y=-x+3

Step-by-step explanation:

To find slope, you would want to use the formula for slope which is y=mx+b.

we are basically isolating the "y". So to find slope we would just subtract the "x" from both sides, leaving use with a negative "x" plus 3 on one side and a y on the other.

An exterior angle of a regular polygon is seven times its interior angle.
Find the size of it's interior angle.

Answers

Answer:

22.5°

Step-by-step explanation:

The sum of the interior and exterior angles of a regular polygon is 180°

ext + int = 180°

7 int + int = 180°

8 int = 180° ( divide both sides by 8 )

int = 22.5°

Describe the behavior of the graph below.

Answers

the answer is d.) the graph decreasing values of x i’m sorry if i’m wrong

Answer:

Step-by-step explanation:

I will give brainliest to whoever answers this question:) help a dummy out

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation is a parabola, that opens up downwards,  and the point from which Sarah throws the ball is 5 feet off the ground.  so set the height to zero ( when the ball reaches the ground )  and solve for t

0 = -16[tex]t^{2}[/tex] + 18t + 5

use quadratic equation :)

-b +- sqrt([tex]b^{2}[/tex] - 4ac) / 2a

-18 +- sqrt[ [tex]18^{2}[/tex] - 4 (-16)(5) ] / 2(-16)

-18 +- sqrt[324 +320 ] / -32

-18 +- sqrt[644] / -32

-18 +- 25.377155 / -32

do the positive choice :

-18 + 25.377155 / -32

7.377155  / -32

-0.2305  ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)

do the negative choice:

-18 - 25.377155 / -32

1.355536  ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )

t = 1.4 seconds ( rounded to nearest 10th )

Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.

Answers

Step-by-step explanation: Do You Want Me To Find All The Values ?

Parallel lines intersected by a common transversal form 8 angles

The required values of y and x are;

5. y = 42°6. y = 29.5°7. y = 9°8. y = 14°9. y = 31°10. x = 20°11. x = 13°12. y = 39°

The reasons why the above values are correct are given as follows:

Given the lines are parallel lines cut by a common transversal, we have;

Angles with measure (2·y - 1)° and (9·x - 38)° are same side interior angles

Angles with measure (4·x + 23)° and (2·y - 1)° are alternate interior angles

Which gives;

(2·y - 1)°+ (9·x - 38)° = 180°...(1)

(4·x + 23)° = (2·y - 1)°...(2)

From equation (1), we get;

y = 109.5 - 4.5·x

From equation (2), we get;

y = 2·x + 12

The common solution is given by; 109.5 - 4.5·x = 2·x + 12

From 109.5 - 4.5·x = 2·x + 12, we get;

x = 15,  

y = 42°

6) (9·x + 42)° and 15·x° are vertical angles, and therefore are equal

(9·x + 42)° = 15·x°

∴ x = 7

(4·y - 13)° and (9·x + 42)° are supplementary, therefore

(4·y - 13)° = (9·x + 42)°, which gives;

(4·y - 13)° = (9×7 + 42)° = 105°

y = 29.5°

7) (3x + 11) + (x + 21) = 180

∴ x = 37

(14·y - 4)° = 3x + 11 = 3 × 37 + 11 = 122°

y = 9°

8) (13·x - 33) = 10·x

∴ x = 11

10·x + 5·y = 180

10 × 11 + 5·y = 180

[tex]y = \dfrac{70^{\circ}}{5} = 14^{\circ}[/tex]

y = 14°

9) (27·x + 4) + (8·x + 1) = 180

∴ x = 5

y + 10 = 8·x + 1 = 8 × 5 + 1 = 41

y = 41 - 10 = 31

y = 31°

10) 16·x - 4 = 9·x - 6 + 58 = 9·x + 52

7·x = 56

x = 8

11) (6·x - 58)° + (x + 8)° = 90°

7·x - 50 = 90

7·x = 90 + 50 = 140

[tex]x = \dfrac{140}{7} = 20[/tex]

x = 20°

12) 7·x - 7 = 3·x + 45°

4·x = 52

[tex]x = \dfrac{52}{4} = 13[/tex]

x = 13°

(3·x + 45)° + 63° + (y - 6)° = 180°

(3×13 + 45)° + 63° + (y - 6)° = 180°

147 + (y - 6)° = 180°

y = 39°

Learn more about the angles formed between parallel lines here:

https://brainly.com/question/17477121

https://brainly.com/question/8692265

https://brainly.com/question/17931911

What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction?

A fraction bar labeled 1. Under the 1 are 4 boxes labeled one-fourth. Under the 4 boxes are 6 boxes labeled one-sixth. Under the 6 boxes are 12 boxes labeled one-twelfth.

Answers

Answer:

B) 9/10

Step-by-step explanation:

pls help me its due at midnight!!

Enter the given equation in exponential format.

log base2 x = r

Answers

Answer:

2^r=x

Step-by-step explanation:

5. Find dy/dx of
of the following
the following functions
y²= 4ax

Answers

Answer:

A general rule for functions of the general form:

y = A*x^n

is:

dy/dx =  n*A*x^(n - 1)

Then, for the function:

y^2 = 4*a*x

Then we can rewrite this as:

y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)

Then we have:

A = √(4*a)

n = 1/2

Now we can use the above rule to get

dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)

dy/dx = (1/2)*√(4*a)*x^(-1/2)

dy/dx = (1/2)*√(4*a/x)

dy/dx = √(1/4)*√(4*a/x)

dy/dx = √( (1/4)*4*a/x)

dy/dx = √(a/x)

The telephone company made this table to show the number of telephones in the homes they surveyed: Phones in home o 1 2 34 or more Number of homes7|33 56 42 If these homes are representative of the community of 100,000 homes that the company serves, about how many homes would you predict have 4 or more 12 telephones?​

Answers

his helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

answer: 24,000

Answer:20,000

Step-by-step explanation:

What is the solution for x in the equation?

-4 + 5x − 7 = 10 + 3x − 2x

a. 4/21
b. 21/4
c. 4/13
d. 13/4

Answers

The answer would be B 21/4
B. 21/4 because -4+ 5x - 7 = 10

Find the AREA of the triangle below. Round your answer to the nearest tenth. I sad 15 I am not sure if its correct

Answers

Answer:

11 sq. units

Step-by-step explanation:

Find the area of the rectangle first, then find the area of the three white triangles.

Area of the rectangle

= 6×5

= 30 sq. units

Total area of the three white triangles

= (4×5)÷2 + (2×3)÷2 + (6×2)÷2

= 19 sq. units

The area of the rectangle minus the total area of white triangles:

Area of the green triangle

= 30-19

= 11 sq. units

7 in.
15 in.
7 in.
8 in.
7 in.
14 in.
What is the total volume of the figure?

Answers

Answer:

7 x 7 x 8 = 392

15 x 7 x 7(14 - 7) = 735

735 + 392 = 1,127 in^3 is your answer.

Let's split the figure:

In which quadrant on a graph will (-5, -7) be found? *
Quadrant 1
Quadrant II
Quadrant III
Quadrant IV

Answers

Answer:

on a graph will (-5, -7) be found Quadrant III.

What is the common difference for this arithmetic sequence?
45, 39, 33, 27, 21, ...

Answers

Answer:

A. -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Common difference of an arithmetic sequence=t2-t1

=39-45

=-6

Function A and Function B given below are linear functions, which statement is
true?

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Slope Formula: Y2 - Y1/ X2 - X1

Function A: 15 + 25/ 4 + 4 = 5; Slope = 5

Function B: 4 - 2/ 3-2 = 2; Slope = 2

The slope of Function A is greater than the slope of Function B.

what fraction is equivalent to 5/6 and has a numerator that is 2 less than its denominator

Answers

Answer:

Step-by-step explanation:

let the fraction be x denominator and x-2 be its numerator

according to question

5/6=x-2/x

do cross multiplication

6(x-2)=5x

6x-12=5x

6x-5x=12

x=12

therefore the fraction is

x-2/x

12-2/12

10/12

Use your calculator to find the trigonometric ratio sin 79°

Answers

Answer:

0.982

Step-by-step explanation:

Use your calculator to find the trigonometric ratio sin 79°

Answer: 0.982

1. Cadence has a collection of 52 dolls that all have either blue-eyes or green-eyes.
Cadence has 16 more blue-eyed dolls than green-eyed dolls. How many green-eyed dolls
does Cadence have?

Answers

Answer:

Cadence has 18 more green eyed dolls

Step-by-step explanation:

1. 52-16=36

2. 36÷2=18

The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Rhythm has an assortment of 52 dolls that all have either blue-eyes or green-eyes. Rhythm has 16 additional blue-looked-at dolls than green-peered dolls.

Let 'x' be the number of blue-eyes dolls and 'y' be the number of green-eyes dolls. Then the equations are given as,

x + y = 52           ...1

x = y + 16           ...2

From equations 1 and 2, then we have

y + 16 + y = 52

2y = 52 - 16

y = 36 / 2

y = 18

The value of x is given as,

x = 18 + 16

x = 34

The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

plot the point P(-6,2) and fron it draw PM and PN perpendiculars to x-axis and y-axis​

Answers

Answer:

image

Step-by-step explanation:

i need help with this and pleases explain this its due today

Answers

Answer:

1. x= 20/3 or 6.6666 repeating

2. x=3

3. a=39

Step-by-step explanation:

1. subtract 25 by 5 to get 20, then divide 20 by 3 to get x

2. divide 7 by 21 to get x

3. add 8 to 31 to get a equals 39

Answer:

x = 6.6 repeating 7

Step-by-step explanation:

subtract 5 on both sides

ur left with 3x = 20

divide by 3 on both sides

I really need the help

y>_ -5
y- 1 < 3x

Answers

Answer:

C

Step-by-step explanation:

A figure is broken into a rectangle and a triangle. The triangle has a base of 8 inches and a height of 6 inches. The rectangle has a base of 8 inches and a height of 4 inches.
This figure was broken into a triangle and a rectangle as shown.

The base of the triangle b is
inches.

Answers

Answer:

triangle area = 24

rectangle areea = 32

figure area = 56

Step-by-step explanation:

Answer: The answer is 8

Step-by-step explanation:

Have a good day and stay safe out there! <3

Plzzzzz help i'm in desprate need of help with this

Answers

Answer:

Obtuse

Step-by-step explanation:

Right = has angle measure of 90°

Acute = has angle measure less than 90°

Equilateral = 2 or more angles whose angle measures are congruent to others

Circle = measures 360°

Obtuse = Angle measure greater than 90° and less than 180°

Hope this helps!

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