Find the amount in a continuously compounded account for the given conditions.

Principle: $5000
Annual Interest Rate: 6.9%
Time: 30 years

Round to the nearest cent and do not include the $ symbol.

Answers

Answer 1

Answer:

A= 5000 e

A= 39,624.12

Step-by-step explanation:

Answer 2

Answer:

no round to the nearest cant and do no


Related Questions

find the point that is 2/4 the way from A to B where A(-2, 5) and B(4, 9)

Pls help

Answers

The coordinates of the point that is 2/4 the way from A to B are (1, 7).

What is the Segment Ratio Formula?

The coordinates of the point that divides a segment into a fractional component, n (n+m), or an arbitrary ratio, n:m, are given by:

   x = [n ⁄ (n+m)] (x₂ - x₁) + x₁  and y = [n ⁄ (n+m)] (y₂ - y₁) + y₁

Given:

For this problem, n = 2 and m = 2 since (2 ⁄ (2+2) = 2 ⁄ 4,  ( x,₁ y₁) =(-2, 5) and ( x₂, y₂) = (4, 9)

Where n and m are both positive integers, [n (n+m)] is the required distance ratio from the beginning position, (x₁, y₁)  are the coordinates of one endpoint, and (x₂, y₂) are the coordinates of the other endpoint.

x = [n ⁄ (n+m)] (x2 - x1) + x1

  = (2/4 ) (4 - (-2)) + (-2)

  =  (2/4 ) (4 + 2) + (-2)

  = (2/4 ) × 6 + (-2)

  =  3 - 2 = 1

y = [n ⁄ (n+m)] (y2 - y1) + y1

  =  (2/4 ) (9 - 5) + 5

  =  (2/4 ) (4) + 5

   =  2 + 5 = 7

Therefore, the coordinates of the point are (1, 7).

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A trivia contest asks both multiple choice and free response questions. Contestants receive 333 points for each correct multiple choice question and 555 points for each correct free response question, and they must score more than 606060 points to advance to the next round. If Eva advanced to the next round of the contest, which of the following inequalities describes xxx, the number of multiple choice questions, and yyy, the number of free response questions, that she answered correctly?

Answers

When Eva advanced to the next round of the contest, the inequality that describes the number of questions will be 3x + 5y > 60

What is an inequality?

It should be noted that an inequality will simply used to illustrate the expressions that aren't equal. This is illustrated with the use of greater than, less, than, etc.

In this case, the contestants receive 3 points for each correct multiple choice question and 5 points for each correct free response question, and they must score more than 60 points to advance to the next round.

Therefore, the inequality that describes the number of questions will be:

= 3(x) + 5(y) > 60

= 3x + 5y > 60

where x = number of multiple choice questions,

y = number of free response questions,

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I need help in this maths problem

Answers

By considering the areas of the two rectangles, we have shown that 2x² - 5x - 18 = 0

The value of length AB is 4.5 cm

Calculating Area and length

From the question, we are to show that 2x² - 5x - 18 = 0

From the given information,

The total area of the compound shape ABCDEF is 36 cm²

That is,

Total area = 36 cm² = Area of small rectangle + Area of big rectangle

From the given diagram, we can write that

Area of small rectangle = x(x -4)

Area of small rectangle = x² - 4x

and

Area of big rectangle = (2x + x)(x -2)

Area of big rectangle = 3x(x - 2)

Area of big rectangle = 3x² - 6x

∴ 36 = x² - 4x + 3x² - 6x

36 = 4x² -10x

4x² -10x - 36 = 0

Divide through by 2

2x² - 5x - 18 = 0

Thus, we have shown that 2x² - 5x - 18 = 0

Now, we are to determine the value of length AB

The value of length AB is x cm.

Therefore, we will solve for x

From,

2x² - 5x - 18 = 0

2x² + 4x - 9x - 18 = 0

2x(x + 2) -9(x + 2) = 0

(2x - 9)(x + 2) = 0

2x - 9 = 0 OR x + 2= 0

2x = 9 OR x = -2

x = 9/2 OR x = -2

x = 4.5 OR x = -2

Since x cannot be negative, the value of x is 4.5

Thus,

AB is 4.5 cm

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Do this one please i really need an answer:

Answers

Answer: this should be more then 5 coins

Step-by-step explanation:

Answer:

√2 is between the integers 1 and 2.

Solve the following system of equations

-8x -9x = 10
4x -5y = 14

(See picture attached)

Answers

Answer:

please trust me.the value of x=10 and the value for y= -10. Try to follow the steps given to you and provide them out

math.uh.edu what effect does increasing the sample size have on a distribution of sample means? a) it will not make any difference b) it will have less variation c) it will have more variation

Answers

By using Distribution of the sample mean,  “It will have less variation”. So option B is correct.

With Large numbers of successive random samples, the mean of the sampling distribution is equal to the mean population (µ). The variability of each sampling distribution decreases in increase of sample size..

so that they become increasingly more Leptokurtic distribution .

As a sample size increases, sample variance (variation between observations) increases but the variance of the standard error decreases.

The mean of the sample means would be equal to μ (approx.), the mean  from which the samples were drawn. However,  the sample means will depend on the size of the samples, since big  samples are more likely to give estimated means that are equal to the true mean of the population(Approx. )

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Temperature Suppose there is a 14°F drop in temperature for every thousand feet that an alplane climbs into the sky If the temperature on the ground is 616, what
will be the temperature when the plane reaches an altitude of 4,000 ?
The temperature will be (Type an integer or a decimal)

Answers

The temperature when the plane reaches an altitude of 4,000 will be 560°F.

What is temperature?

It should be noted that temperature simply means the degree of hotness and coldness of a body.

In this case, there is a 14°F drop in temperature for every thousand feet that an alplane climbs into the sky.

Since the the temperature on the ground is 616, the temperature when the plane reaches an altitude of 4,000 will be:

= 616 - 14(4000/1000)

= 616 - 14(4)

= 616 - 56

= 560°F

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Order four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest.

Answers

Answer:

-4.9, negative four and eight ninths, four and seven tenths, 490%

Step-by-step explanation:

4 7/10 =approx. 4.7

-4 8/9 = -4.888889

490% = 4.9

-4.9

HELP ASAP NEEDS TO BE DONE BY TONIGHT

Answers

The linear function that contains the point (-4, -3) and is perpendicular to the line 4x + 5y = 15 is given by:

y = 5/4x + 2.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

The coefficient m is the slope of the function, which is the constant rate of change.The coefficient b is the y-intercept of the function, which is the initial value of the function.

When two lines are perpendicular, the multiplication of their slopes is of -1, hence, considering the line is perpendicular to 4x + 5y = 15, we have that:

5y = 15 - 4x

y = 3 - 4/5x

Then:

-4/5m = -1

m = 5/4

Hence the rule is:

y = 5/4x + b

When x = -4, y = -3, hence the intercept b is found replacing these points into the equation as follows:

-3 = 5/4(-4) + b

-3 = -5 + b

b = 2.

Hence the equation is:

y = 5/4x + 2.

Both perpendicular equations are graphed at the end of the answer.

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40 squared is between which two positive consecutive integers

Answers

first find 40 squared

[tex] {40}^{2} \\ = 1600[/tex]

1598,1599, 1600, 1601,1602

You can see that 1600 is between 1599 and 1601

Eli used the place value strategy to add the numbers 4.69 and 7.7.

What is the very first step he should do to add these numbers correctly?

Answers

The addition according the place value is 12.39

What is place value?

The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its location in the number, which might result in a number having two comparable digits with distinct values.

Place value refers to how much a digit is worth in relation to where it is in a number, such as the ones, tens, hundreds, and so on. For instance, 5 in 3458 has a place value of 5 tens, or 50. However, 5 thousands, or 5,000, is used to represent the place value of 5 in 5781. Understanding that a digit can have the same value regardless of where it appears in the number is crucial.

Given:

Eli used the place value strategy to add the numbers 4.69 and 7.7.

So, to add using place value strategy we use place value to break the addends into tens and ones.

Now, we add the tens and ones individually to find the whole sum.

So, breaking 4.69

at ones = 4

at tenth = 6

at hundredth = 9

In 7.7

at ones= 7

at tenth = 7

at hundredth = 0

Now, adding according to the place value

=(0 + 9 ) x 1/100 + (7 + 6) x 1/10 + (4 +7) x1

=9/100 + 13/10 + 11

=0.09 + 1.3 + 11

=12.39

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The coordinates of the point H are (−2,2) and the coordinates of point I are (6,2). What is the distance, in units, between the point H and point I?

Answers

the distance between the point H (- 2, 2) and point I (6, 2) is 8 units.

We are given the coordinates of the point as:

H = (- 2, 2)

I = (6, 2)

We need to find the distance between the two points.

We get that:

x₁ = - 2

y₁ = 2

x₂ = 6

y₂ = 2

Distance formula is given as:

Distance = √(y₂ - y₁)² + (x₂ - x₁)²

Substituting the values in the formula, we get that:

D = √(2 - 2)² + (6 + 2)²

D = √ 0² + 8²

D = √8²

D = 8 units.

Therefore, the distance between the point H (- 2, 2) and point I (6, 2) is 8 units.

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6. Write two equivalent rates for each comparison. a) 5 goals in 10 games b) 10 km jogged in 60 min c) 6 pizzas eaten in 30 min d) 10 penalties in 25 games​

Answers

The equivalent rates for each of the given options are;

A) 1 goal in 2 games

10 goals in 20 games

B) 1 km jogged in 6 min

5 km jogged in 12 min

C) 1 pizza eaten in 5 minutes

2 pizzas eaten in 10 minutes

D) 2 penalties in 5 games​

20 penalties in 50 games​.

What are the equivalent rates?

We want to write two equivalent rates for the given rates.

It should be noted that different rates that have the same value are equivalent rates. You can find an equivalent rate the same way you find equivalent ratios which is to divide or multiply the numerator and the denominator by the same number.

A) 5 goals in 10 games can also be written as;

5/10 = 1/2 = 10/20

These equivalent rates are;

1 goal in 2 games

10 goals in 20 games

B)  10 km jogged in 60 min;

10/60 = 1/6 = 5/12

These equivalent rates are;

1 km jogged in 6 min

5 km jogged in 12 min

C) 6 pizzas eaten in 30 min;

6/30 = 1/5 = 2/10

These equivalent rates are;

1 pizza eaten in 5 minutes

2 pizzas eaten in 10 minutes

D)  10 penalties in 25 games​;

10/25 = 2/5 = 20/50

These equivalent rates are;

2 penalties in 5 games​

20 penalties in 50 games​.

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while on vacation Francisco sent postcards and letters to his friends. he spent $3.18 on postage. a stamp for a letter costs 39 cents. How many postcards and letters did he send.

Answers

Answer: 8

Step-by-step explanation: 3.18 divided by 0.39 is 8 (without the decimals)

You earn $100 per month and want to save 10% in a savings account. Use the savings
calculator to find out how much your total savings would be in 5 years if your account
has an annual interest rate of 1%. (Do not include the $ sign in your reponse) PLEASE HELPP

Answers

With the annual interest of 1%, the total saving after 5 years is $6060.

Interest:

Interest is the amount for a particular principal amount of money at some rate of interest.

Given,

You earn $100 per month and want to save 10% in a savings account.

Here we have to use the savings calculator to find out how much your total savings would be in 5 years if your account has an annual interest rate of 1%.

Through the given details we have identified that,

Monthly earning = $100

Saving per month = 10%

So, in amount it can be

=> 100 x 10/100 = $10

So, for one year the saving without interest is

=> 10 x 12 = 1200

So, When we add the interest of 1% for the year,

Then the interest amount for one year will be,

=> 1200 x 1/100 = 12

So, the total amount including interest for one year,

=> 1200 + 12 = 1212

So, the savings after 5 years will be,

=> 5 x 1212

=> 6060.

Therefore, the total saving amount after 5 years is $6060.

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Find the equation of the line that passes through (1,2) and is perpendicular to
y
=
2
x
+
3
.
Leave your answer in the form
a
x
+
b
y
=
c
Where
a
,
b
and
c
are integers.

Answers

Answer:

x + 2y = 5

Step-by-step explanation:

y = mx + b the m is the slope or gradient.  

y=2x+3  The slope is 2.

When lines are perpendicular,  the slopes are opposite inverses of each other.  So, the perpendicular slope to 2 is -1/2.  I would write the answer in the point slope of the line and then change the equation to the stand form

y -2 = -1/2(x -1)  Distribute the -1/2

y - 2 = -1/2x + 1/2  Add 1/2 x to both sides

1/2x + y -2 = 1/2  Add 2 to both sides

1/2x +y = 5/2  Multiply by 2 to clear the decimal

x + 2y = 5

Please help I’m struggling so bad right now

Answers

So she has $140
Spends $90
Spends $70

Expression(1st box) 140-90-70

Evaluate(2nd box) -20 She would have -20 dollars

please help meeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!

Answers

Answer:

3 x 3 x 3 or 3 to the 3rd power :)

Step-by-step explanation:

Lets solve! :)

3 x 3 x 3

9 x 3

27

The volume of the tank would be 27s :)

Have an amazing day!!

Please rate and mark brainliest!

for the month of april in a certain​ city, 48​% of the days are cloudy. also in the month of april in the same​ city, 26​% of the days are cloudy and snowy. what is the probability that a randomly selected day in april will be snowy if it is cloudy​?

Answers

53/300 is the probability that a randomly selected day in April will be snowy if it is cloudy​.

What do we mean by probability?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.A typical definition of probability is the ratio of favorable outcomes to all other outcomes in the sample space.The formula for the probability of an event is P(E) = (Number of favorable outcomes) (Sample space).

So,

The probability that the day is cloudy: 48/100The probability that the day is snowy and cloudy: 26/48

The probability that day will be snowy and cloudy at random selection:

48/100 × 26/481248/480053/300

Therefore, 53/300 is the probability that a randomly selected day in April will be snowy if it is cloudy​.

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Can y’all help me with this math question please

Answers

Answer:

[tex]\angle K[/tex]

Step-by-step explanation:

When looking for corresponding angles, compare their order in the names. Since T and K are the first letters in the names of the triangles, they correspond.

HELP FAST!
This is an explain your reasoning question. You will need to show all your work and explain how you arrived at your answer.

Answers

Answer:

m∠R = 72°

Step-by-step explanation:

As ΔPQR and ΔUVW are congruent, m∠R = m∠W.

Equate the expressions for the two angles and solve for x:

⇒ m∠R = m∠W

⇒ 10x - 18 = 8x

⇒ 10x - 18 + 18 = 8x + 18

⇒ 10x = 8x + 18

⇒ 10x - 8x = 8x + 18 - 8x

⇒ 2x = 18

⇒ 2x ÷ 2 = 18 ÷ 2

⇒ x = 9

Substitute the found value of x into the expression for m∠R:

⇒ m∠R = 10x - 18

⇒ m∠R = 10(9) - 18

⇒ m∠R = 90 - 18

⇒ m∠R = 72°

Therefore, m∠R = 72°.

Which answer choice shows seventy and twenty-three thousandths written in standard form? A 70.023 B 70.230 C 7.023 D 70.0023

Answers

Answer:

A

Step-by-step explanation:

seventy and twenty-three thousandths = 70.023

Answer:

A

Step-by-step explanation:

thank

you

:D

I need help with this

Answers

A.) The tram’s elevation increased 5 meters a second so it is represented by positive 5. For 45 seconds it went higher up so we do 45x5 which equals 225. The tram’s elevation increased a total of 225 meters.

B.) The substance cooled 18 degrees Celsius total at a constant rate over a period of 9 hours. Since the rate is constant divide 18/9 which equals 2. However this change is decreasing so it will be represented by -2. The substance cooled 2 degrees Celsius per hour, so the change is -2.

If A = {4, 7, 10, 13, 17) and B = {3, 5, 7, 9), then which of the following statements Is true?
BCA
AUB=(7)
BCB

Answers

The answer is the last one.

B isn’t a proper subset of A because A doesn’t have elements 3, 5, and 9. A U B = {4, 7, 10, 13, 17, 3, 5, 9}, not {7}. Only B is a subset of B is true because every set is a subset of itself.

(d) solve this differential equation explicitly, either by using partial fractions or with a computer algebra system. use the initial populations 350 and 450.

Answers

The answer would be 400 since it’s between 350 and 459

improperly handled or undercooked poultry and eggs are the most frequent cause of salmonella food poisoning. salmonellosis can be deadly, although most individuals recover on their own. cases must be reported to the cdc, where they are closely monitored. the average number of salmonellosis cases per month in illinois is 2.56. if x is the monthly count of salmonellosis cases in illinois, what distribution does x follow, approximately?

Answers

The distribution that x follow approximately is a Poisson distribution

Given that the the average number of Salmonellosis cases per month in Illinois is 2.56

We now find the approximate distribution of X :

If outcomes the random variable are occurring on a certain time period or in a certain space, then random variable is called Poisson random variable.

In our case, X is the monthly count of Salmonellosis food poisoning cases , so outcomes are occurring on time period of month and are discrete.

Hence distribution of X : the monthly count of Salmonellosis cases follows a Poisson distribution.

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HELP IM CONFUSED. NEED HELP ASAP

Answers

Answer:

3x+5?

Step-by-step explanation:

Not 100% sure but yh

Natalie has a piece of red ribbon that is 79.39 inches long and a piece of brown ribbon that is 2.05 inches long. How much longer is the red ribbon?

Answers

Red ribbon is 77.34 much longer than brown ribbon.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference.

The difference is the name given to the solution to a subtraction issue.

Given Data

Natalie has a piece of red ribbon that is 79.39 inches long

a piece of brown ribbon that is 2.05 inches long

Difference of red ribbon from brown ribbon:

= 79.39 - 2.05

= 77.34

Red ribbon is 77.34 much longer than brown ribbon.

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A mako shark can swim 4 kilometers in 1/10 hour. a blue whale can swim 5 kilometers in 1/4 hour. which animal swims faster at top cruising speed? how much faster?

Answers

Answer:

The mako shark swims first

Step-by-step explanation:

mako shark swim's at 40kilometre per hr

ablue whale swim's at 20km per hr

I am really behind and I need help getting this done if I knew how to make users that answer my questions correctly I would make them brainlest. But I don't know how to do that?

Answers

Answer:

[tex]\textsf{3.} \quad \dfrac{5}{6}x+ 10=y[/tex]

4.  See below.

[tex]\textsf{5.} \quad \dfrac{10}{3}x-2=y[/tex]

Step-by-step explanation:

Question 3

Given equation:

[tex]\dfrac{1}{3}x-\dfrac{2}{5}y=-4[/tex]

[tex]\textsf{Add \;$\dfrac{2}{5}y$ \; to both sides}:[/tex]

[tex]\implies \dfrac{1}{3}x-\dfrac{2}{5}y+\dfrac{2}{5}y=-4+\dfrac{2}{5}y[/tex]

[tex]\implies \dfrac{1}{3}x=\dfrac{2}{5}y-4[/tex]

Add 4 to both sides:

[tex]\implies \dfrac{1}{3}x+4=\dfrac{2}{5}y-4+4[/tex]

[tex]\implies \dfrac{1}{3}x+4=\dfrac{2}{5}y[/tex]

[tex]\textsf{Multiply both sides by \; $\dfrac{5}{2}$}:[/tex]

[tex]\implies \dfrac{5}{2} \cdot \dfrac{1}{3}x+ \dfrac{5}{2} \cdot4=\dfrac{5}{2} \cdot \dfrac{2}{5}y[/tex]

[tex]\implies \dfrac{5}{6}x+ 10=y[/tex]

[tex]\boxed{\begin{minipage}{3cm}$\dfrac{1}{3}x-\dfrac{2}{5}y=-4\\\\\underline{\phantom{\dfrac{1}{3}x}+\dfrac{2}{5}y\phantom{=-4}\dfrac{2}{5}y}\\\\\dfrac{1}{3}x=\dfrac{2}{5}y-4\\\underline{+4 \phantom{)=3y}+4\phantom{)))))}}\\\\\dfrac{1}{3}x+4=\dfrac{2}{5}y\\\\\underline{\phantom{)}\times\dfrac{5}{2}\phantom{))))}\times \dfrac{5}{2}}\\\\\dfrac{5}{6}x+10=y$ \end{minipage}}[/tex]

Question 4

See the attachment for the highlighted mistake.

The mistake Mike made is that he did not divide 10x by 3.

Question 5

Given equation:

[tex]10x-3y=6[/tex]

Add 3y to both sides:

[tex]\implies 10x-3y+3y=6+3y[/tex]

[tex]\implies 10x=6+3y[/tex]

Subtract 6 from both sides:

[tex]\implies 10x-6=6+3y-6[/tex]

[tex]\implies 10x-6=3y[/tex]

Divide both sides by 3:

[tex]\implies \dfrac{10x}{3}-\dfrac{6}{3}=\dfrac{3y}{3}[/tex]

[tex]\implies \dfrac{10}{3}x-2=y[/tex]

[tex]\boxed{\begin{minipage}{3cm}$10x-3y=6\\\underline{\phantom{10x}+3y\phantom{=6}+3y}\\\\10x=3y+6\\\underline{-6 \phantom{)=3y}-6\phantom{)))))}}\\\\\dfrac{10x-6}{3}=\dfrac{3y}{3}\\\\\dfrac{10}{3}x-2=y$ \end{minipage}}[/tex]

Other Questions
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