A person places $531 in an investment account earning an annual rate of 6.1%,

compounded continuously. Using the formula V = = Pent, where V is the value of the

account in tyears, 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 16 years.

Answers

Answer 1

Answer:

$1408.74

Step-by-step explanation:

Given data

P= $531

T= 16 year

R= 6.1%

We are given the expression

[tex]V= Pe^r^t[/tex]

Required

the final amount V

substituting our data into the expression

[tex]V=531*e^{0.061*16}\\\\V=531*e^{0.976}\\\\V=531*2.653\\\\V=1408.743[/tex]

Hence the amount of money is $1408.74

Answer 2

Answer:

1409.18

Step-by-step explanation:


Related Questions

i would love if someone would help me

quadratic equation by using square roots
-2(x+7)²=-98

Answers

I’m hoping this helps (but hopefully now you can give the brainliest to the person above)
I’m not very familiar with the square roots method but I believe you try and isolate the term that is squared.

What’s a ratio?
(Best description)

Answers

Answer:

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

Step-by-step explanation:

A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

Destiny said that 0.6 divided by 2 equals 0.3 is she correct​

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

what is 163,653÷200 ?​

Answers

Answer:

818.265

Step-by-step explanation:

Which expression is equivalent to -3 – 6?​

Answers

Answer:

-6 - 3

Step-by-step explanation:

Just switch them around.

how is everyone's day going? Mine is okay can u help me on this question?

Solve the following system of equations. 8x +y = 23= −10x - y = −27
x=
y=

Answers

Answer:

x = 2 and y = 7

Step-by-step explanation:

We are given two equations:

1.      8x + y = 23

2. −10x  - y = −27

By adding both equations with each other we get:

(1.+2.) -2x = -4

Which can be reduced to:

(1.+2. : (-2)) x = 2

We can insert x in Equation 1. (or 2) and get:

8*2 + y = 23

16 + y = 23         [-16 on both sides]

y = 7

Resulting in x = 2 and y = 7 as a possible solution for this system.

Answer:

Step-by-step explanation:

8x + y = 23

-10x - y = -27

-2x = -4

x = 2

8(2) + y = 23

16 + y = 23

y = 7

(2, 7)

Can someone do this for me

Answers

Answer:

en realidad el ganador sería el número 30 en la tabla

What are all the terms in the expression 4mn+m+5 and which is a constant

Answers

Answer:

4+65()59682kgkskfkdlck nznka

If f(x) = {(2, 3), (4, 8), (7, –1)} and g(x) = {(8, 2), (–1, 4), (2, 7)}, find (f ◦ g)(x), if it exists.

Answers

Answer:

(f o g )(x) = {8, 3), (-1, 8), (2, -1)}

Step-by-step explanation:

(f o g)(x) = [f(g(x)]

g(8) = 2 and f(2) = 3  

g(-1) = 4  and f(4) = 8

g(2) = 7 and  f(7) = -1

So, (f o g )(x) = {8, 3), (-1, 8), (2, -1)}

(f ◦ g)(x) does not exist since no input in f(x) produces an output in g(x) that can be fed back into f(x).

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.

To find (f ◦ g)(x), we need to apply g(x) to each input in f(x), and then apply f(x) to the resulting outputs from g(x).

First, let's apply g(x) to each input in f(x):

g(2) = 3 (from (2,3) in f(x))

g(4) = 8 (from (4,8) in f(x))

g(7) = -1 (from (7,-1) in f(x))

Next, we apply f(x) to the resulting outputs from g(x):

f(3) = undefined (no input in f(x) produces an output of 3)

f(8) = undefined (no input in f(x) produces an output of 8)

f(-1) = undefined (no input in f(x) produces an output of -1)

Therefore, (f ◦ g)(x) does not exist since no input in f(x) produces an output in g(x) that can be fed back into f(x).

To know more about function follow

https://brainly.com/question/25638609

#SPJ2

Which expression is equivalent to 24 x 6 y 2 3 x 2 y 3 ?

Answers

Answer:

47x 8y 3

Step-by-step explanation:

need answer asap! Which set of points would result in a slope of 1/4?

(2, 8) and (1, 4)
(8, 2) and (4, 1)
(8, 2) and (1, 4)
(2, 8) and (4, 1)

Answers

Answer:

the second pair

Step-by-step explanation:

4- Зу = 31
what’s the answer ?

Answers

Answer:

y = -9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−3y=31

4+−3y=31

−3y+4=31

Step 2: Subtract 4 from both sides.

−3y+4−4=31−4

−3y=27

Step 3: Divide both sides by -3.

y = -9

Answer:

y= (-9)

Step-by-step explanation:

Step 1: Move the constant to the right-hand side and change its sign

-3y=31-4

Step 2: Subtract the numbers

-3y=27

Step 3: Divide both sides of the equation by -3

y= (-9)

Answer:

y= (-9)

The following equation was correctly simplified:
(2x3 - 3x2 + 5x - 1)+ (3x3 - 3x2 - 2x + 4) = 5x3 + 6x2 + 3x + 3
why is it false?

Answers

Answer:

Step-by-step explanation:

it is -6x2 not plus

if my answer helps please mark as brainliest.

Plz help me it just one question ??????

Answers

Answer:

it is easy just look closely

Step-by-step explanation:

Divide 152 tens by 33. Then multiply and subtract

Answers

Answer:

152 x 10 =1520

1520/32 = 46.06

1520 x 33 = 50,160

1520-33 = 1487

What is 8/5 equivalent to?

Answers

Answer:

Answer is 1.6

Step-by-step explanation:

I hope it's helpful!

Answer:

1 3/5    or 1.6

Step-by-step explanation:

8/5 = 1 3/5   or   1.6

Where do parabolas store their holiday decorations?

Answers

Answer:

where...................

Step-by-step explanation:

.........................

I need help



Negehejrvrkrvrnrbr

Answers

v=4/3pi(5)
523.6 units cubed

Gavin ran 5 3/4 miles yesterday. He ran 4 1/6 miles today. How many more miles did gavin run yesterday?​

Answers

Answer:

1 and 7/12 or 1.583

Step-by-step explanation:

Find the slope of a line that passes through the points (-1,-5) , (3,-3)

Answers

Answer:

2/4 or up 2 over 4

Step-by-step explanation:

Put the points on a graph

start at the (-1,-5) and count up two

then go over 4 to the point (3,-3)

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (3, - 3)

m = [tex]\frac{-3-(-5)}{3-(-1)}[/tex] = [tex]\frac{-3+5}{3+1}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

if an object is moving at -1.7 m/s for 20 seconds what is its displacement?

Answers

Answer:

0.085 m

Step-by-step explanation:

change in displ. = change in velocity ÷ change in time

so,

x = v ÷ t

= -1.7 m/s ÷ 20s

=0.085 m

Answer:

0.085 m

......:.:.:.:.


The telephone company ofers two balling plans for local calls Plan 1 charges 23 per month for unlimited calls and Plan 2 charges $12 per month plus 0.04 per call

Answers

I think it’s 22 but I don’t know
I agree with the person above, it could be 22

Given the following functions, find (f•g)(x).
f(x) = 2x
g(x) = 3x - 2

Answers

Your answer is 6x^2-4x

please please help marking brainlist but if you dont know than dont answer please thank you

Answers

Answer:

1. z = 5,  2. w = 9

Step-by-step explanation:

1. 5z - 4 = 21

5z = 21 + 4

5z = 25

z = 25/5

z = 5

2. w/9 + 2 = 3

w/9 = 3 - 2

w/9 = 1

w = 1 x 9

w = 9

I hope this helps :)

Dominic invested $520 in an account in the year 1995, and the value has been growing exponentially at a constant rate. The value of the account reached $770 in the year 2001. determine the value of the account, to the nearest dollar, in the year 2005

Answers

Answer:

I believe the answer is $936.64

Step-by-step explanation:

I hope this helps!

What is the interquartile range of the fun lowing data? 332, 401, 424, 458, 443, 357 , 380

Answers

Answer:

Interquartile Range

The interquartile range of an observation variable is the difference of its upper and lower quartiles. It is a measure of how far apart the middle portion of data spreads in value.

Interquartile Range = U pper Quartile − Lower Quartile

Problem

Find the interquartile range of eruption duration in the data set faithful.

Solution

We apply the IQR function to compute the interquartile range of eruptions.

> duration = faithful$eruptions     # the eruption durations

> IQR(duration)                     # apply the IQR function

[1] 2.2915

Answer

The interquartile range of eruption duration is 2.2915 minutes.

Exercise

Find the interquartile range of eruption waiting periods in faithful.

Step-by-step explanation:

Jose has scored 607 points on his math tests so far this semester. To get an A for the semester, he must score at least 619 points.


Part 1 out of 2
Enter an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let n represent the number of points Jose needs to score on the remaining tests.


The inequality is + n .

Answers

Hi there!

607+n=619

619-607=n

n=12

3- EL MÉDICO LES DIJO QUE ES IMPORTANTE CONSUMIR 8 VASOS DE AGUA DE 250 ML DIARIAMENTE.
Calcula cuantos litros de agua debe consumir una familia de 5 integrantes en una semana.
Operaciones:​

Answers

Step-by-step explanation:

Si en cuatro vasos es un litro y cada integrante de la familia consume 2 litro diarios, la operacion seria 5 × 2 = 10 Por que son cinco integrantes de la familia y cada uno consume dos diarios entonces consumen 10 litro diarios

ESPERO Y TE AYUDE ;)

Which of the following ordered pairs could be the y-intercept of a function?
A (1,2)
B (5,0)
C (0,0)
D (-3,2)

Answers

Answer:

Step-by-step explanation:

The y intercept only occurs when x=0 so (0,0) is the only y intercept of those choices.

The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions?

Answers

Answer:

2100

Step-by-step explanation:

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