How much would $100 invested at 8% interest compounded continuously be
worth after 15 years? Round your answer to the nearest cent.
A(t)=Poet
O A. $332.01
O B. $220.00
O C. $317.22
D. $285.67

Answers

Answer 1

Answer:

Step-by-step explanation:

A = [tex]pe^{rt}[/tex]

A = 100[tex]e^{.08 *15}[/tex]

A=. $332.01

Answer 2

The value of the investment after 15 years is $332.01.

Option A is the correct  answer.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

The continuous compounding formula is given by:

[tex]A = Pe^{rt}[/tex]

Where:

A = the ending amount

P = the principal (initial investment)

e = the mathematical constant (approximately equal to 2.71828)

r = the interest rate (as a decimal)

t = the time period (in years)

Using this formula, we can find the value of the investment after 15 years:

A = 100 \times e^{0.08 \times 15} ≈ $332.01

Therefore,

The value of the investment after 15 years is $332.01.

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Related Questions

A review of combination

Answers

Answer:

What is a Combination? A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

#happylearning

Can someone solve question c ?

Answers

If it finished at 1:33 it would’ve started at 12:30
But if it finished at 16:17 (4:17) it would’ve started at 2:44

PLease Help!! will mark brainilest!!

Answers

Answer:

(x+4)(x+6)

Step-by-step explanation:

(x^2+4x)+(6x+24)

x(x+4) 6(x+4)

(x+4) (x+6)

This are 7 different questions please help me

Answers

Answer:

ccccccc is bebebebebebebeebebbeebebeb

1.A
2.C
3.B
4.C
5.C
6.C
7.B

Graph the image of rectangle  after a translation 6 units right and 1 unit down.​

Answers

Answer:

see image

Step-by-step explanation:

one by one, move each point

Use the points and move each point to the right 6 and go down 1 and make a new mark.

NA
4
which is the graph of the linear inequality y < 3x + 1

Answers

Answer:

D

Step-by-step explanation:

Answer:0

Step-by-step explanation:

because 3x+1 is 0

The 3x+1 Conjecture asserts that, starting from any positive integer n, repeated iteration of this function eventually produces the value 1.

What’s the range of the given function?

I marked that answer by accident btw

Answers

The range of the given function is - 2

A random sample of 50 male employees is taken at the end of a year and the mean
number of hours of absenteeism for the years is found to be 63 hours. A similar sample of
50 female employees has mean of 66 hours. Could these samples be drawn from a
population with the same mean and standard deviation 10 hours?​

Answers

Answer:

Yes the samples can be drawn from a population with the same mean and standard deviation 10 hours

Step-by-step explanation:

We are given;

Sample mean for male employees; x1¯ = 63

Sample mean for female employees; x2¯ = 66

Sample size = 50

Standard deviation; σ = 10

First,let's define the hypotheses of the question;

Null hypothesis; H0: μ1 = μ2

Alternative hypothesis; Ha: μ1 ≠ μ2

Now, let's find the test statistic from the formula;

z = (x1¯ - x2¯)/(σ√(2/n))

Thus;

z = (63 - 66)/(10√(2/50))

z = -3/2 = - 1.5

Now, we are not given the significance value but usually when it is not given, we can adopt α = 0.05.

Thus, from online p-value from z-score calculator using; z = -1.5; α = 0.05; two tailed test; we have;

p-value = 0.13364

The p-value is greater than the significance value and thus we will fial to reject the null hypothesis and conclude that these samples can be drawn from a population with the same mean and standard deviation

Henry signed up for a streaming music service that costs $14 per month. The service allows Henry to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Henry have to pay in a month in which he downloaded 50 songs? How much would he have to pay if he downloaded s songs?
Cost for 50 songs :
Cost for s songs :

Answers

Answer:

Cost for 50 songs: $64

Cost for s songs: s + 14

Step-by-step explanation:

Since it is $1 per song, if he downloaded 50 songs, it would be $50 extra dollars.

Add this to the monthly charge of 14:

50 + 14

= 64

So, the cost of 50 songs would be $64.

Now, find the cost for downloading s songs.

Each song is $1, so the cost can be represented by s + 14.

The answer is:

Cost for 50 songs: $64

Cost for s songs: s + 14

Write equation for the line with a slope "undefined" and has the same x-intercept as x−y−1=0

Answers

Answer:

Step-by-step explanation:

Lines with undefined slopes are perfectly vertical, of the form "x = ". A line with "the same x-intercept" as the given line that has an undefined slope will be the line that we want. I know that sounds confusing; we'll work through it then I'll explain it better. In order to find the x-intercep of the given line, solving it for y will make it a bit easier to "see". Therefore,

-y = -x + 1 and

y = x - 1. The x-intercept exists when y = 0, so setting y equal to 0 and solving for x:

0 = x - 1 and

1 = x. That's the x-intercept. It's also the line that we want that has an undefined slope, because "x = " lines are lines vertical lines and vertical lines have undefined slopes.

x = 1 is the line you want.

y>2x y>3 orderd pair

Answers

Answer:

Step-by-step Explanation;

[tex]y > 2x \: y \: > \: 3 \: \\ solve \: for \: x \\ x \: € \: ( \frac{3}{2y} \: \frac{1}{2} )\: y > \: 3 \\ solve \: for \: y \\ y \: > \: \frac{3}{2x} \: x \: > \: 0 \: and \: x \: < \: \frac{1}{2} [/tex]

HOPE IT HELPS!!!

I NEED BRAINLIEST ✌️

Which of the diagrams below represents the statement "If it is a tree, then it
has leaves"?
has leaves
tree
tree
has leaves
Figure A
Figure B
O A. Figure A
O B. Figure B

Answers

The correct answer is A. Figure A.

What is mathematical statement?

A mathematical statement is a declarative sentence that expresses a truth or falsehood using mathematical symbols. It is usually made up of two terms that are related by an operator, such as an equals sign. Mathematical statements can be used to prove results, solve equations, and make predictions about the behavior of systems.

This diagram represents the statement "If it is a tree, then it has leaves" because the top box is labeled "tree" and the bottom box is labeled "has leaves". The arrow running between them indicates that if the condition of the top box is true, then the bottom box is also true. This is an example of a conditional statement.

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Given A = (-1 -2 3 4 8 -6 0 1 5) and B = (-5 -1 6 4 1 2 0 -3 2) What is X if B - X = A?

Answers

Answer:

5(-3)2-2(-3)+1. =5(9)+6+1. =​45+7 ... 7x – 6= 0). (3x + 2)(x – 3)=0. =3x + 2 = 0; x – 3 = 0. _486x 5 – 7x. 1 1 8 1 6​. uh this is hard..

Step-by-step explanation:

Answer Question Pls? I need Help!!

Answers

Answer:

option D

Step-by-step explanation:

Take the two through which the lines passes.

Let it be ( -5 , 0) and ( 0 , -3)

Step 1 : Find slope, m

     [tex]Slope,m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

                  [tex]= \frac{-3-0}{0--5} = \frac{-3}{5}[/tex]

Step 2 : Find the equation

      [tex](y - y_ 1) = m( x - x_1)\\\\( y - 0) = \frac{-3}{5} (x --5) \\\\y = -\frac{3}{5}( x + 5 ) \\\\y = -\frac{3}{5}x - 3[/tex]

Which is shown by the map

Answers

Answer:

A

Step-by-step explanation:

Well I am not fully sure but I would say A

which equation represents the graphed function
A. y=4x-2
B. y=-4x-2
C. y=1/4x-2
D. -1/4x-2

Answers

It’s easy just find the slope and the answer is gonna be obvious

Slope= y2-y1/x2-x1

Slope = -2-(-1)/0-4 = -1/-4 = 1/4

Slope = 1/4x

So the answer should be C

The missing number in the sequence 2, 5, 10, ?, 26, 37 is .........?​

Answers

Answer:

17.

Step-by-step explanation:

The differences form an arithmetic sequence 3, 5, 7, 9,,11.

The missing number  is 10 + 7 = 17.

This is a quadratic sequence.

The nth term = n^2 + 1.

Thus the 4th term = 4^2 + 1 = 17.

What is 5^-3?
Please I really need someone to explain to me what do you do when there is a negative sign in the exponent. Thank you :)

Answers

1/15

You take out the negative and do the regular equation but turn it into the fraction with one as the numerator and the solution of the exponent as the denominator.

Answer: 1/125 or 0.008 (simplify 1.125 or should I do it?)

Step-by-step explanation:

Well, when there is a negative sign in the exponent you only move the negative exponents. Moving only negative exponents is recommended because using this rule, you multiply two exponents with the same base and add their powers.

Find the value of -6 + 8(-3) ÷ 4
please help me .

Answers

Answer:

-12

Step-by-step explanation:

cause from the rule

we should always solve from bracket so -3×8= -24

and -24/4= -6

and -6-6

= -12

At midday the temperature in Moscow was 7°C.
At midnight it was -3°C.
By how many degrees did the temperature fall?

Answers

Answer:

10 degrees C

Step-by-step explanation:

the difference between both temperatures is expressed by a subtraction

7 - -3 = 7 + 3 = 10

you could also do the subtraction the other way around :

-3 - 7 = -10

but the negative sign has no meaning for a distance between two points (a distance itself has no direction).

so, we are always using the absolute value of such difference calculations (when it is about lengths, distances, and so on, where the direction had no meaning).

and so, also the -10 is actually simply 10 for our problem here.

the temperature fell by 10 degrees.

A bag contains 10 discs.
Each disc is labelled with a different number from 1 to 10
Adinis chosen from the bag at random
Write down the probability that the chosen disc is
(a) the number 3
(b) a number loss than four
(c) a square number
(d) a prime number
Help please !!!

Answers

Answers:

(a) 1/10(b) 3/10(c) 3/10(d) 2/5

===========================================

Explanations:

Part (a)

There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.

---------------------

Part (b)

The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.

---------------------

Part (c)

A square number, aka a perfect square, smaller than 10 is the list {1,4,9}

Since 1 = 1^2, 4 = 2^2 and 9 = 3^2

Like part (b), we end up with the same result of 3/10.

---------------------

Part (d)

The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.

So we end up with 4/10 = 2/5.

Customers at Costco spend an average of $130 per trip (The Wall Street Journal, October 6, 2010). One of Costco's rivals would like to determine whether its customers spend more per trip. A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.A. Specify the appropriate null and alternative hypotheses to test whether average spending at the rival's store is more than $130.B. Calculate the value of the test statistic.C. Calculate the p-value. D. Calculate the critical value

Answers

Answer:

A. The null hypothesis is [tex]H_0: \mu = 130[/tex].

The alternative hypothesis is [tex]H_a: \mu > 130[/tex]

B. The value of the test statistic is [tex]t = 1[/tex]

C. The p-value is of 0.1636.

D. The critical value is [tex]t_c = 1.711[/tex]

Step-by-step explanation:

Question a:

Customers at Costco spend an average of $130 per trip (The Wall Street Journal, October 6, 2010). One of Costco's rivals would like to determine whether its customers spend more per trip.

At the null hypothesis, we test if the mean is the same as Costco's, that is:

[tex]H_0: \mu = 130[/tex]

At the alternative hypothesis, we test if the mean is more than 130, that is:

[tex]H_a: \mu > 130[/tex]

B. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

130 is tested at the null hypothesis:

This means that [tex]\mu = 130[/tex]

A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.

This means that [tex]n = 25, X = 135.25, s = 10.50[/tex]

Then

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{135.25 - 130}{\frac{10.50}{\sqrt{25}}}[/tex]

[tex]t = 1[/tex]

The value of the test statistic is [tex]t = 1[/tex]

C. Calculate the p-value.

Test if the mean is more than a value, so a right-tailed test.

Sample of 25, so 25 - 1 = 24 degrees of freedom.

Test statistic of t = 1.

Using a t-distribution calculator, the p-value is of 0.1636.

D. Calculate the critical value

24 df, using the standard 0.05 significance level.

Using a critical value calculator, the critical value is [tex]t_c = 1.711[/tex]

Franklin can jog approximately 2,000 meters in 4 minutes. Express this rate as a unit
rate.







I need it in step by step

Answers

You always get a unit rate from dividing. You always have two ways to do it, and get two unit rates, but one of them is more helpful.

2000 meters/4 minutes = 500 meters per minute

4 minutes/2000 meters = 0.002 minute per meter

(By the way ... Franklin is "jogging" a 3:13.12 mile. The world record is 3:43.13 .)

I don't know how to do this​

Answers

Answer:

Step-by-step explanation:

yeah

5,10,15,20,25

4,8,12,16,20,

Can someone please help me?

Answers

Answer:

y=3^(x-2) + 1

Step-by-step explanation:

When dealing with graphs I always use a graphing calculator or Desmos to graph and double check my answers especially when doing translations!

What is an
equation of the line that passes through the points (0, -1) and (6, 1)?

Answers

Answer:

y = 1/3x -1

Step-by-step explanation:

The slope is  y2 - y1 / x2 - x1

y2 is 1

y1 is -1

x2 is 6

x1 is 0

So it is 1 - (-1) / 6 - 0, or 2/6, or 1/3

The slope is 1/3.

The y-intercept is the place where x is 0. It shows the y-intercept here as

(0, -1),  The y-intercept is  -1

Slope form is y = mx + b. m is the slope, 1/3, and b is the y-intercept, -1

So the equation is: y = 1/3x -1

Here are 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest

Answers

Here are the 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest: 0.330, 0.331, 0.331, 0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336, 0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342, 0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366, 0.371.

Triangle ABC will be translated right 3 units and down 5 units to create triangle A'B'C'. What are the coordinates of B'?

Answers

Answer:

B'(4, 0)

Step-by-step explanation:

B (1, 5)

it translated right 3 units => x'=x+3

down 5 units => y'= y-5

A restaurant is planning its staffing for weekday dinners. It finds that the number of customers is normally distributed. Which calculation would help them determine the most likely range of customers arriving for that meal

Answers

Answer: hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.

Step-by-step explanation:

Your question isn't complete as you didn't provide the options. These are given above.

Based on the options, the calculation that would help them determine the most likely range of customers arriving for that meal is a hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.

Expresa los siguientes números sin potencia de base 10

Answers

Answer:

no se guey..... pero gudluc

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