PLEASE HELPP!!
An initial amount of money is placed in an account at an interest rate of 5% per year, compounded continuously. After five years, there is $3287.11 in the
account. Find the initial amount placed in the account. Round your answer to the nearest cent.

Answers

Answer 1

9514 1404 393

Answer:

  $2560.00

Step-by-step explanation:

The account balance is given by the formula ...

  A = Pe^(rt) . . . . principal P invested at rate r for t years

Filling in your numbers, we have ...

  $3287.11 = Pe^(0.05·5)

  P = $3287.11e^(-0.25) = $2560.00

The initial amount was $2560.00.


Related Questions

Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the first quartile?
Plzz help ASAP

Answers

Answer:

49.2

Step-by-step explanation:

Two fair 6-sided dice are rolled one at a time. Find the probability that
the first die lands on a value greater than 4 and the second die lands
on 2.

Answers

Answer:

Step-by-step explanation:

Which phrase best describes the figure below?

Answers

Answer:

B.

Step-by-step explanation:

It only has one base and it's a pentagon. Therefore, it's a pentagonal pyramid.

A radioactive substance with initial value of 800g decays according to the exponential model A= 800e^(kt). After 10 years, only 400g of the substance remains. Find the value of k. Round your answer to the nearest thousandth. ​NO LINKS!!!!

Answers

Answer:

k ≈ - 0.069

Step-by-step explanation:

Given

A = 800 [tex]e^{kt}[/tex]

Substitute A = 400 and t = 10 into the equation

400 = 800 [tex]e^{10k}[/tex] ( divide both sides by 800 )

0.5 = [tex]e^{10k}[/tex] ( take the ln of both sides )

ln [tex]e^{10k}[/tex] = ln0.5

10k lne = ln0.5 [ lne = 1 ]

10k = ln 0.5 ( divide both sides by 10 )

k = [tex]\frac{ln0.5}{10}[/tex] ≈ 0.069 ( to the nearest thousandth )

Answer:

Step-by-step explanation:

400 = 800 * e^(k*t)

What are the units of t? I'm taking it as years.

Divide by 800

400/800 = e^(k*10)

1/2 = e^(k*10)

ln(1/2) = ln(e)^(k*10)

ln(1/2) = k*10 * ln(e)

ln(e) = 1

-0.69314 = k*10

-0.069314 = k

Check

A = 800 e^(-0.069314*10)

A = 800 e^(-0.69314)

A = 800 * 0.50000359

A = 400.0028722

Which is close enough to 400

what is the measure of m

Answers

9514 1404 393

Answer:

  m = 8

  n = 4√3

Step-by-step explanation:

The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.

  (12+4)/m = m/4

  64 = m² . . . . multiply by 4m

  8 = m . . . . . . square root

__

Likewise, the ratio of long side to short side is the same.

  12/n = n/4

  48 = n² . . . . . . multiply by 4n

  4√3 = n . . . . . take the square root

_____

Additional comment

You may have noticed that the ratios of side lengths are ...

  4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle

This means the unmarked side is 8√3.

__

We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.

Please help me. Photo provided

Answers

C is the answer to the question

Help me I’ll make you expert !

Answers

The top and bottom left are both linear relationships, hope i helped !!

HELP PLZ! WILL GIVE BRAINLIEST.
The table shows the percentage of users of a data tablet who returned the product to an Internet provider within a year after purchase, after a year, and the reasons for the return.

Answers

Answer:

ur answer is correct only

Step-by-step explanation:

mark me brainlist tq

Answer:

dependent events

jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interest will she earn over 5 years

Answers

Answer:

9927.5$

Step-by-step explanation:

4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.

question in the image

Answers

19 in the answer because you multiply 6 • 3.14 then you round to the nearest hundredth because the real one if your wouldn’t have to round would be 18.84

Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?

Answers

Answer:

                                     

Step-by-step explanation:

35 points
(algebra one)
describe and correct the error in comparing the graphs

Answers

I think it’s 3 units up instead of down but the equation is correct

HELP WITH THIS ASAP!

Answers

Answer:

Hi, there your answer will C. 85pi ft^2

Step-by-step explanation:

pi(5)(12)+pi(5)^2

60pi+25pi

85pi ft^2

Hope this helps :)

is 2 a solution to the equation 1/2 x 4 = 5 ?​

Answers

Answer:

yes it is good luck with your work

Can someone help me with this part A: Members of a high school sports team are selling two popular items for a fundraiser:
candy bars and bags of chips. They earn $0.75 for every candy bar they sell and $0.50 for every
Dag of chips. The members want to earn at least $100 from all sales. The members of the sport
team estimate that they won't be able to sell more than 200 units in total.
Part A: Select all the inequalities that model the constraints for this situation, where x
represent the number of candy bars sold and y represent the number of bags of chips.
A. x 20
B. y20
C. x +y s 100
D. x + y < 200
E. 0.75x + 0.50y
100
F. 0.50x + 0.75y > 100

Answers

An

Step-by-step explanation:

Cx+y s 100

Answer:

All the inequalities that model the constraints for this situation:

(d) x + y < 200 ;

(e) 0.75 x + 0.50 y ≥ 100

Step-by-step explanation:

What is inequality ?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As, x represent the number of candy bars sold & y represent the number of bags of chips sold.

It is given that,

price for one candy bar =  $0.75

also, price for one dag of chips = $0.50

So, price for 'x' candy bar =  $0.75x

also, price for 'y' of chips = $0.50 y

Is is mentioned in question, the sale of candy bar and bag of chips shoud be atleast $100.  

the First ineqaulity be,

0.75 x + 0.50 y ≥100

(which should the sales of candy baar and dag of chips be equal to 100 dollar or greater than 100 dollar)

Now, the second situation

Again, it is mentioned in the question is number of units (candy bar and dag of chips)  should be not more than 200 units.

the second inequality be,

x+ y < 200

(which shows that number of candy bar and dag of chips should be less than 200 units.)

All the inequalities that model the constraints for this situation

(d) x + y < 200

(e) 0.75 x + 0.50 y ≥100

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

How many students scored below 80?

11
19
cannot be determined from the histogram
9

Answers

Answer:

11

Step-by-step explanation:

The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm. Suppose that 12 individuals are randomly chosen. Round all answers to 4 where possible. What is the distribution of ¯ x

Answers

Answer:

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.

This means that [tex]\mu = 187, \sigma = 7.1[/tex]

Suppose that 12 individuals are randomly chosen.

This means that [tex]n = 12, s = \frac{7.1}{\sqrt{12}} = 2.05[/tex]

What is the distribution of ¯ x?

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

For its standard checking account northwest bank charges a fee of 2.50 plus 0.10 per check the Function use to determine total monthly charges is C=2.50+0.10n where C = monthly charges and n= to number of charges If a customer writes 24 check during a month How much would he customer Be charged

Answers

So basically what you wanna do

In PQR, the measure of R=90degrees, QP=53, RQ=45 and PR=28. What ratio represents the sine of P?

Answers

Step-by-step explanation:

sin(p) = opposite / hypontenuse = 45 / 53

10x -5 = 15
O X = 10
X =-1
x = 2
O X= -2

Answers

Answer:

0

Step-by-step explanation:

Anything multiplied by 0 is 0. sorry if i did it wrong

I need this please help me

Answers

Answer:

C. Reflection over x- axis, down 6 right 3

Step-by-step explanation:

A bank is offering 3.5% simple interest on a savings account. If you earned $525 in interest
in 2 years, how much did you deposit in the savings?
O $7,500
O $8,000
O $7.250
$7.000

Answers

Answer:

$7500

Step-by-step explanation:

Given

[tex]I = 525[/tex]

[tex]R = 3.5\%[/tex]

[tex]T =2[/tex]

Required

The Principal

This is calculated using:

[tex]I =PRT[/tex]

Make P the subject

[tex]P = \frac{I}{RT}[/tex]

So, we have:

[tex]P = \frac{525}{3.5\% * 2}[/tex]

[tex]P = \frac{525}{7.0\%}[/tex]

[tex]P = 7500[/tex]

What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.​

Answers

Answer:

-1

Step-by-step explanation:

first put the equation in slop int form:

y= x-6

to find the slope of a line that is perpendicular take the negative reciprical of the slope

so the answer is

-x

Question 2 Solve the problem below using a graphing calculator. Estimate o points
your answer to four decimal places

X^2= 4/x + ln(x)

A 1.5874
B 1.4596
C. 1.7241
D. 1.6985

Answers

The answer is c have a good day

sin 0 =(8)/(9), tan 0 >0
find sec 0

Answers

Answer:

[tex]\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0[/tex]

And we want to find sec(θ).

First, note that both sine and tangent are positive. The only quadrant in which this can occur is QI. Hence, all trig ratios will be positive.

Also, recall that sine is the ratio of the opposite side to the hypotenuse. Using this information and the Pythagorean Theorem, we can determine the adjacent side:

[tex]a=\sqrt{9^2-8^2}=\sqrt{17}[/tex]

So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

[tex]\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}[/tex]

Again, since θ is in QI, all trig ratios are positive.

PLEASE HELP I DONT KNOW

Answers

Answer:

the answer is d circumference

2. Use the image to answer the questions.
(a) What is the center and the radius of the circle?
(b) What are the equations of the circle in graphing form and in general form? Show your work.

Answers

Answer:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form

x² + y² + 2x - 2y - 7 = 0

Step-by-step explanation:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form   \Expand graphing form\

(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0

Rearrange

x² + y² + 2x - 2y - 7 = 0

PLS I NEED HELP FAST
Find the surface area of the cone.

Answers

Answer:

373.8

Step-by-step explanation:

How do the angles and side lengths of the preimage relate to the corresponding angles and side lengths of the image of a dilation with a scale factor not equal to 1?

Answers

Answer:

The angles are proportional and the side lengths are proportional.

Step-by-step explanation:

Savaas Realize

A countries population in 1993 was 253 million. In 1999 it was 237 million. Estimate the population in 2007 using the exponential growth formula. round your answer to the nearest million.
Note: When solving for k, round to four decimal places.

Answers

Answer:

240 million

Step-by-step explanation:

I took the application

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