Isaac invested $1,800 in an account paying an interest rate of 4.7%
compounded continuously. Assuming no deposits or withdrawals are
made, how much money, to the nearest hundred dollars, would be in
the account after 15 years?

Answers

Answer 1

Answer:

$3584.86 or 3600 if rounded to the nearest 100 dollars

Step-by-step explanation:

1800(1.047)^15= 3584.86

you can plug this into a calculator

Answer 2

Answer:

3600

Step-by-step explanation:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=1800\hspace{35px}r=0.047\hspace{35px}t=15

P=1800r=0.047t=15

Given values

A=1800e^{0.047(15)}

A=1800e  

0.047(15)

 

Plug in

A=1800e^{0.705}

A=1800e  

0.705

 

Multiply

A=3642.92403286

A=3642.92403286

Use calculator (with e button)

A\approx 3600

A≈3600

Round to nearest hundred dollars


Related Questions

Helpp picture about will mark

Answers

Answer:

36

Step-by-step explanation:

3*2=6

6^2 is 36

express 4,085 in scientific notation ​

Answers

4.085 x 10 to the 3 power is your answer

Answer:

4.085 x 10^3

Step-by-step explanation:

just use powers to figure out these questions. it always starts from a single digit! for example if the number is 4,000 it would just be 4 x 10^3 but because theres more unique numbers then it would be a decimal

Oceanside Bike Rental Shop charges a 15 dollar fixed fee plus 9 dollars an hour for renting a bike. Dan paid 69 dollars to rent a bike. Which equation when solved would show how many hours the bike was rentented? Let h = hours

Answers

Answer:

Step-by-step explanation:

Dan paid  69 divided by 9 = H - 15

The population of California is approximately 38,040,000. The population of Texas is about 2.606 × 107. What is the approximate total population of these two states?

Answers

Answer:

Step-by-step explanation:

California population 3.804 x10^7

texas population          2.606x 10^7

total= 6.4 x10^7

Answer:

c

Step-by-step explanation:

which is true when x-3<2

Answers

Hey there!

“x – 3 < 2”

Let’s change your current question into a(n) equation to make it EASIER to solve (this is for temporary purposes ONLY)

• Temporary question

x – 3 = 2

• First: ADD BOTH SIDES by 3

x – 3 + 3 = 2 + 3

• CANCEL: –3 + 3 because that gives you 0

• KEEP: 2 + 3 because that helps solve for x

• New temporary question: 2 + 3 = x

2 + 3 = 5

The temporary question answer is: x = 5 ✅

NOW LETS SOLVE FOR YOUR ACTUAL EQUATION (just saying it REQUIRES the SAME steps as the temporary question just a TAD bit differently!)

x – 3 < 2

• FIRST: ADD both SIDES BY 3

x – 3 + 3 < 2 + 3

• CANCEL: –3 + 3 because that gives you 0

• KEEP: 2 + 3 because that helps us compare the answer with x

• New equation: x < 2 + 3

2 + 3 = 5

x < 5

Answer to your given question is: x < 5 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

What is the product of (5.9 x 10^3) and (5.9 x 10^4) expressed in scientific notation?
please help

Answers

Answer: 3.481 x 10^8

:)

Step-by-step explanation:

(5.9 x 10^3)(5.9 x 10^4)

(5.9 x 5.9) (10^3 x 10^4)

34.81 x 10^7

= 3.481 x 10^8

Help please will brain list

Answers

Answer. All the correct statements are:-

B. -8.7 is further to the left on the number line than -8.4

C. -8.7 is less than -8.4

F. -8.4 is greater than -8.7

Answer:

Step-by-step explanation:

Which expression is equivalent to the expression shown?
2
4 x4
48
166
46

PLZ ANSWER I WILL GIVE BRAINLIST

Answers

Answer:

5^8 .. you have to do it like this 5^(2×4)

5^8.
Hope i helped :)

Find the value of X in the triangle shown.

Answers

x = 12

Use the Pythagorean Theorem.
13^2 = 5^2 + x^2
169 = 25 + x^2
Subtract 25 from both sides.
144 = x^2
Take the square root.
12 = x

A company loses 345,000 in 2011

Answers

Answer:

they lose 20,000,000 in 2021 how much of a difrence is this

Step-by-step explanation:

please give answers asap!! correct answers only

Answers

Answer:

15 units

Step-by-step explanation:

UW is the midsegment of ΔVXY,

By midsegment theorem of a triangle,

"Segment joining the midpoints of two sides of a triangle is parallel to the third side and measure of midsegment is half of the length of the third side."

UW = [tex]\frac{1}{2}(XY)[/tex]

Since, XY = 30 units

UW = [tex]\frac{1}{2}(30)[/tex]

      = 15 units

Therefore, length of the midsegment UW = 15 units will be the answer.

Solve the system of equations.
13r - 6y = 22
2 = y + 6

Answers

Answer:

The answer is just r = -2/13

Sarah bought 4 pens for $1.00. How many did she pay for each pen?

Answers

Answer:

Sarah paid 25 cents for each individual pen

Step-by-step explanation:

Answer:

she paid .25 cents for each

Step-by-step explanation:

1.00÷4=.25

The brown family might plant 1/8 tomatoes, 1/8 cabbage, and 1/8 peppers. If they do, what fraction of their garden will be unplanted?

Answers

I don’t really know the answer

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was five minutes. Use that as a planning value for the standard deviation in answering the following questions.a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 78 seconds, what sample size should be used

Answers

Answer:

57

Step-by-step explanation:

Given that :

Standard deviation (σ) = 5 minutes = (5 *60) = 300 seconds

Margin of Error, E = 78

Assume a confidence interval of 95%;

Using the relation :

((Zα/2 * σ) / E)²

(1 - α)/2 = (1 - 0.95)/2 = 0.05 /2 = 0.025

Z0.025 = 1.96

Sample size = ((1.96 * 300) / 78)²

Sample size = (588 / 78)^2

Sample size = 7.5384615^2

Sample size = 56.828

= 57 samples

The amount of time needed for a certain machine to process a job is a random variable with mean EXi = 10 minutes and Var(Xi)=2 minutes2. The times needed for different jobs are independent from each other. Find the probability that the machine processes less than or equal to 40jobs in 7hours.

Answers

Answer:

0.98732

Step-by-step explanation:

Given that :

Mean = 10 minutes

Variance = 2 minutes

For less than equal 40 jobs

Mean (m) = 40 * 10 = 400 minutes

Variance = 2 * 40 = 80 minutes

Standard deviation (s) = √variance = √80

Converting hours to minutes

X = 60 * 7 = 420 minutes

P(X≤ 420) :

Z = (x - m) / s

P(X≤ 420) :

Z = (420 - 400) / √80

Z = 20 / √80 = 20 / 8.9442 = 2.236

P(Z ≤ 2.236) = 0.98732

The probability that the machine processes less than or equal should be 0.98732

Calculation of the probability:

Since

Mean = 10 minutes

Variance = 2 minutes

For less than equal 40 jobs

Mean (m) = 40 ( 10) = 400 minutes

Variance = 2 (40) = 80 minutes

Now

Standard deviation (s) = √variance = √80

Now here we Converting hours to minutes

So,

X = 60 (7) = 420 minutes

Now

P(X≤ 420) :

Z = (x - m) / s

Z = (420 - 400) / √80

Z = 20 / √80

= 20 / 8.9442

= 2.236

Now finally

P(Z ≤ 2.236)

= 0.98732

Hence, The probability that the machine processes less than or equal should be 0.98732

Learn more about probability here: https://brainly.com/question/3066522

Help me I’ll mark you brainly!

Answers

-1 - 6x^2- 1/6. X^4 Write in standard form.

1

6
x
2

1
6
x
4

Answer:

- 6x² -x⁴/6 -1 because 6x² is co effectient

I need help please!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of the sand dune after x years. Which equation represents the situation?

y = negative StartFraction 1 Over 20 EndFraction x minus 5

y = negative StartFraction 1 Over 20 EndFraction x + 5

y = negative 20 x minus 5

y = negative 20 x + 5

Step-by-step explanation:

Find the value of each trigonometric ratio.

Answers

Answer: C

Step-by-step explanation:

u have insta

Answer:

sine = opposite / hypotenuse

sine C = 8 / 15

sine C = .53333333333333

Step-by-step explanation:

the sum of allmultiples of 6 between 10 & 87 is equal to

Answers

The sum of all multiples of 6 between 12 and 87 is equal to 624.

How to get the sum?

The multiples of 6 are of the form: 6*n

Where n is an integer.

The multiples between 10 and 87 are:

6*2 = 12

6*3 = 13

...

6*14 = 84

Then the sum of all these multiples can be written as:

[tex]6*2 + 6*3 + 6*4 + ... + 6*14\\\\= 6*(2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14) = 624[/tex]

The sum of all multiples of 6 between 12 and 87 is equal to 624.

If you want to learn more about multiples:

https://brainly.com/question/251701

#SPJ1

help me please help me ..

Answers

Answer:

26 is the correct answer.

BE FAST IM TIMED
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.

Which number range would be needed to label the students correctly?

A 0–4
B 1–5
C 00–75
D 01–75

Answers

Answer:

D

Step-by-step explanation:

Answer:hope it helped

Step-by-step explanation:

c answer

A copper wire has a mass of 9.09grams and a volume of 1.01cubic centimeters. Calculate its density.
Write your answer to the hundredths place.

Answers

Answer: The density of copper should be the same in a wire as it is in a chunk,

so the answer is 8.9 g/cm3.

angie needs to buy 156 candlesbfor a party. each package has 8 candles. how many packages should Angie buy?​

Answers

20 packages

Step-by-step explanation:

Divide 156 by 8 and you get 19.5. Angie needs 156 candles, so you round 19.5 to 20.

GIVING BRAINLIST TO WHOEVER ANSWERS

Answers

37+6g=79, 17 games ://///////////////

A water well drilling rig has dug to a height of -15 feet in three hours. If the rig has been running constantly and is currently at a height of -192.5 feet, for how long has the rig been running?



22.25 hours

97.4 hours

38.5 hours

12.8 hours

Answers

A. 22.25 i think it’s a because it you do your math correctly it was give you A

Veronica's Violin Village sold 400 violins in the month of July. In the month of August they decreased
their sales by 84 violins. By what percent did they decrease their monthly sales of violins from July to
August?

Answers

Answer:

21% is the answer :)

A baker uses chocolate with 75% cocoa for his famous cake. But the supplier delivered 100 lb of chocolate with 70% cocoa. The baker needs to melt and mix the delivery with chocolate that has 90% cocoa. How much of the 90% chocolate should he use.

Answers

Answer:

33 1/3 pound of cocoa

Step-by-step explanation:

;)

How many ways are there to choose five doughnuts if there are eight varieties (and only the type of each doughnut matters)?

Answers

Answer:

There are 56 ways to choose 5 from 8 varieties.

Step-by-step explanation:

a) Choosing 5 out of 8

This is a combination problem, given by the formula below:

C(n,r)=?

 

C(n,r)=C(8,5)

=8!/(5!(8−5)!)

= 56

b) A combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed. The result of this combination of 5 out of 8 varieties shows that there 56 ways one can choose.  The formula is given by 8 factorial divided by (5 factorial by 3 factorial).

7. The ratio of strawberries to grapes in the fruit salad is 3:9. The ratios of strawberries to honeydew is 6:14. If there 36 grapes, how peony strawberries. Match the fractions that are equivalent to each other​

Answers

Answer:

12 strawberries

Step-by-step explanation:

Let

[tex]S = Strawberry[/tex]

[tex]G = Grape[/tex]

[tex]H = honeydew[/tex]

Given

[tex]S : G = 3 : 9[/tex]

S : H = 6 : 14

Required

Solve for S when G = 36

To do this, we make use of the first ratio

[tex]S : G = 3 : 9[/tex]

Substitute 36 for G

[tex]S : 36 = 3 : 9[/tex]

Convert ratio to fractions

[tex]\frac{S}{36} = \frac{3}{9}[/tex]

[tex]\frac{S}{36} = \frac{1}{3}[/tex]

Cross Multiply

[tex]S * 3 = 36 * 1[/tex]

[tex]3S = 36[/tex]

Divide through by 3

[tex]\frac{3S}{3} = \frac{36}{3}[/tex]

[tex]S = \frac{36}{3}[/tex]

[tex]S = 12[/tex]

The (b) part of the question can not be solved with the given details.

However, some equivalent fractions are:

[tex]\frac{1}{2} = \frac{2}{4}[/tex] ---- 0.5

[tex]\frac{5}{15} = \frac{10}{30}[/tex] --- 0.33

[tex]\frac{4}{7} = \frac{8}{14}[/tex] --- 0.57

To get the equivalent fractions, you have to convert the fractions to decimal and then make comparison.

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