If $12.000 is invested in an account in which the interest earned is continuously
compounded at a tale of 2.5% find the totally amount in the account after 15 years.
Assume there are no other deposits or withdrawals.

Answers

Answer 1

Answer:

If 12,000 are put at an account with 2.5% compound interest in 15 years your total would be $17,379.58


Related Questions

A study will be conducted to investigate whether there is a difference in pain relief for two brands of headache pills, N and P. Participants will be randomly assigned to one of two groups. One group will take pill N when they experience a headache, and the other group will take pill P when they experience a headache. Each participant will record the number of minutes it takes until relief from the headache is felt. The mean number of minutes will be calculated for each group. Which of the following is the appropriate test for the study?

a. A two-sample z-test for a difference between population proportions.
b. A two-sample t-test for a difference between population means.
c. A matched-pairs t-test for a mean difference.
d. A one-sample z-test for a population proportion
e. A one-sample t-test for a population mean

Answers

Answer:

b.  TWO SAMPLE T TEST FOR POPULATION MEANS

Step-by-step explanation: the problem mentions difference and the mean number of minutes so you know it'll be a difference in population MEAN

what is the equation for 14 more than 5 times more the number is 39

Answers

Answer:

14 + 5x = 39

Step-by-step explanation:

first I had to remember the keywords that gave me a hint of what I have to write. I figured out that more is plus ( + ) , times is multiplication ( x ) , and is is the equal sign ( = ).

someone pls help me, i will mark brainliest(no links)

Answers

A and D are proportional

Help me who here is a master at math I need your help !!

Answers

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

Which of the following is equivalent to the expression?

Answers

Answer:

I did not understand your question.

But the answer is 40.0625

Answer:

we add the powers to have 4-6 =-2

4 to power -2 which gives 0.0625

There are
13
students in a class of
30
who play rugby.

Write this proportion as a percentage.

Give your answer correct to 1 decimal place.

PLSSS SOMEONE HELP

Answers

Answer:

i think it might be 0.43

Step-by-step explanation:

Just divide 13/30 and it should you you that proportion as a percentage I think! Sorry if I might've given you the wrong answer but just trynna help!

have a nice day

Answer:

43.3% of the students play rugby.

Step-by-step explanation:

13/30 = 0.43333

0.43333*100 = 43.33%

Have a nice day!

and can I maybe have brainliest? Thanks!

picking more than two fruits​

Answers

huh?....i am confused

anyone want to help me?
no but seriously I need to finish this right now

Answers

I need help to solve this problems can somebody help me

A farm stand wants to sell fruit to local grocery stores in packages with
baskets of apples, worth $10 apiece, and baskets of peaches, worth $13
apiece. The owner wants each package to include 50 baskets total, and he
wants to sell each package for $566. How many baskets of apples and how
many baskets of peaches should he put in each package?
A. 10 apples, 13 peaches
B. 13 apples, 10 peaches
C. 28 apples, 22 peaches
D. 22 apples, 28 peaches

Answers

Answer:

28 apples and 22 peaches

Step-by-step explanation:

<3

1
Find the value of x in the figure below, round answer to the nearest tenth.
38
64°
х

Answers

9514 1404 393

Answer:

  86.7

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(64°) = 38/x

  x = 38/cos(64°) ≈ 86.685

The value of x is about 86.7.

Rewrite the following phrase as a mathematical expression: twice a number increased by eighteen. 18 n + 2 2n + 18 2 + 18 O2/18 1) NEXT QUESTION 2 ASK FOR HELP​

Answers

Answer:

2(n+18)

18(2+n)

2•(18•n)

I hope this helps

Find the value of x in the triangle shown below.

Answers

I think it’s 55 lollll

please help me out, i’ve asked earlier but no one helped

Answers

Answer: 147

Step-by-step explanation: you just have to replace n in the equation to 30 giving you:

-3+50(30)

Now solve

-3+150=147

Answer:

[tex]\rm T_{30}= 147 [/tex]

Step-by-step explanation:

Given :-

The nth term of a sequence is -3+5n .

And we need to find out the 30th term of the sequence . For that simply substitute n = 30 in the given expression to find out the 30th term .

The nth term :-

[tex]\rm\implies n = 30[/tex]

The sequence :-

[tex]\rm\implies T_n = 5n - 3 [/tex]

On substituting :-

[tex]\rm\implies T_{30}= 5*30-3 \\\\\implies\rm T_{30}= 150 - 3 \\\\\implies\boxed{\rm T_{30}= 147 }[/tex]

Hence the 30 th term is 147 .

A regional highway uses 8 tollbooths that are open to all vehicles. A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to determine whether the tollbooths are all used in equal proportions. A chi-square value of χ2=19.1 was calculated with a corresponding p-value of 0.008. Which of the following is correct?


A. There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.

B. There is insufficient evidence to suggest that the tollbooths are used in equal proportions.

C. There is sufficient evidence to suggest that the tollbooths are not used in equal proportions.

D. There is sufficient evidence to suggest that the tollbooths are used in equal proportions.

E. The tollbooths are used in equal proportions.

Answers

Answer:

C) There is sufficient evidence to suggest that the toll booths are not used in equal proportions.

Step-by-step explanation:

First of all, we have to understand that this is a question asking to draw a conclusion from the chi-square GOF (goodness of fit) test information that was given in the problem text.

From there, we use the usual sentence format, and in this case, we use the sentence format for when the p-value is less than α:

Since the p-value (0.008) is less than the alpha value (0.05), we reject the null hypothesis ([tex]H_0[/tex]). There is sufficient evidence to suggest that the toll booths are not used in equal proportions.

To elaborate, we get this answer by knowing that since the p-value is so low, the chance of getting a test statistic that extreme (too low or too high depending on the context) is significantly unlikely.

The correct option regarding the significance level is C. There is sufficient evidence to suggest that the toll booths are not used in equal proportions.

How to explain the significance level?

In this question, we simply have to deduce a conclusion from the chi-square test information that was given.

In this case, the p-value (0.008) is simply less than the alpha value (0.05), therefore, we will reject the null hypothesis.

This implies that there is sufficient evidence to suggest that the toll booths are not used in equal proportions.

Learn more about significance level on:

https://brainly.com/question/4599596

At the bottom it says or no and it wants me to explain

Answers

Answer:

You 22/20=1.1

your friend 18/15=1.2

Past experience indicates that the standard deviation of the time it takes for a dentist to perform dental scaling for patients is 4 minutes. A researcher wishes to estimate the mean time to perform dental scaling with 95 percent confidence and a margin of error of ± 0.75 minutes. Given this, what must the sample size be? Round up your answer to the next whole number.

Answers

Answer:

n = 110

Step-by-step explanation:

Margin of Error :

Zcritical * s/ sqrt(n)

s = standard deviation = 4

Margin of Error = ±0.75

Zcritical at 95% level of confidence = 1.96

Margin of Error = Zcritical * s/ sqrt(n)

0.75 = 1.96 * 4 / sqrt(n)

0.75 = 7.84 / sqrt(n)

Take the square of both sides

0.5625 = 61.4656 / n

0.5625 * n = 61.4656

0.5625 = 61.4656

n = 61.4656 / 0.5625

n = 109.27217

About 110 samples

Simplify. Please help.

Answers

Answer:

I believe it is B

Step-by-step explanation:

if correct pls mark brainliest

Answer:

4^8

Step-by-step explanation:

When multiplying powers, keep the base the same and add the exponents.

4^6 x 4^2 = 4^8

Please help........................

Answers

Answer:

I think it is 2 one

Step-by-step explanation:

I’m pretty sure that it’s C

arrange the following whole numbers in increasing and decreasing order​

Answers

Answer:

Increasing Order:

34, 71, 269, 976, 16759, 49753, 796542

Decreasing Order:

796542, 49753, 16759, 976, 269, 71, 34

help please i genuinely cant

Answers

Answer:

Part A: 3x + 36 = 180

Part B: x = 48

Step-by-step explanation:

A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:

3x + 36 = 180

Solve the equation:

3x + 36 = 180

Subtract 36 from both sides

3x = 144

Divide both sides by 3 to isolate the variable

x = 48

Check your work:

3(48) + 36 = 180

144 + 36 = 180

180 = 180

Correct

In Ivy’s neighborhood, 40% of the homes have a swimming pool. If there are 80 homes in the neighborhood, then how many have a swimming pool?

Answers

Answer:

32 homes

Step-by-step explanation:

To get the amount of homes with a pool, simply do

HOMES * 0.40

So 80x0.4 = 32 homes with a pool

Ivy the woods in a few years

Please help I’ll mark you as brainliest if correct

Answers

Answer:

I think it is 75

Step-by-step explanation:

because you divide 45 by 3 to get 15 then 15 x 5 is 75:)

75:45
Step-by-step explanation:
3*15=45
5*15=45

Work out
25
% of
401.16
m

Answers

25 hope this helps !

Answer:

100.29m

Step-by-step explanation:

b. If x represents a number, does
•x always
represent 40% of that number? Explain your reasoning.

Submit

Answers

Answer:

no it doesn't as no is variable.

Brian, Pip and Sara share some sweets in the ratio 4:5:1. Brian gets 42 more sweets than Sara.
How many sweets does Pip get?
80

Answers

Answer:

i got 70

Step-by-step explanation:

Brain   4           Brain gets 42 more sweets Sara

Pip      5           How many sweets does Pip get?

Sara    1

when   b = s + 42            find p        b = 4s    p = 5s

           4s = s + 42                           b/4 = s      p = 5b/4

           3s = 42

             s = 14           b = 56         p = 70      

     

I initially found the answer by trail and error, then I could figure out the equation.  

s     b      p

1     4      5

10   40   50

16   64   90

14   56   70

Plz guys help me please

Answers

Answer:

G(-4,2), H(-3,-4), J(-1,1)

Step-by-step explanation:

The x-values would all become negative.

G(-4,2), H(-3,-4), J(-1,1)

i need help with a maths question please answer only if you know and not links​

Answers

Answer:

x³/4z²

Step-by-step explanation:

Invert and multiply:

48x^5y²/12z^5 x z³/16x²y²=

(48x^5y²)(z³)/(16x²y²)(12z^5)

the y² cancel out

48÷16=3 (on top)

x^5÷x²=x³

12z^5/z³=z²(on bottom)

This leaves a 3x³ on top and 12z² on the bottom.  3÷12=4 (on bottom):

3x³/12z²

x³/4z²

Answer this ASAP : The company is also having a problem deciding on a torso design for Tinker. Each design has a height of 10 cm. Below are the three choices they have decided on. 3) Each of the torsos is filled with chocolate. One of the managers wants to throw out Design C. He argues that the amount of chocolate needed to fill it is so much more than the other two types that it shouldn't even be a choice. Is he right or wrong? Explain.​

Answers

Answer:

All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.

Step-by-step explanation:

Let's find the volume of each design.

For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.

Therefore, the area of the cross section is:

[tex]A_1=3(2)=6\text{ cm}^2[/tex]

Since the height is 10 cm, the total volume of Design A is:

[tex]V_1=10(6)=60\text{ cm}^2[/tex]

For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.

So, the area of the cross section is:

[tex]A_2=3(2)=6\text{ cm}^2[/tex]

And the height is still 10 cm. So, the total volume of Design B is:

[tex]V_2=6(10)=60\text{ cm}^3[/tex]

Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.

For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.

So, the area of the cross section is:

[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]

And since the height is 10 cm, the volume of Design C is:

[tex]V_3=6(10)=60\text{ cm}^3[/tex]

Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.

SOMEONE PLEASE help me answer this

Answers

Answer:

5.7 m is the answer

Step-by-step explanation:

a = 7m

b = ?

c = 9m

According to the Pythagorean theorem,

a² + b² = c²

7² + b² = 9²

49 + b² = 81

b² = 81 - 49

b² = 32

b = 5.656

Round to the nearest tenth,

b = 5.7 m

A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and 1996) and 60% of Gen Xers (those born between 1965 and 1971) did not pay off their credit cards each month and therefore carried a balance from month to month. Suppose that these percentages were based on representative samples of 450 Millennials and 300 Gen Xers. Is there convincing evidence that the proportion of Gen Xers who do not pay off their credit cards each month is greater than this proportion for Millennials

Answers

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size    n₁  = 450

p₁  =  0,48        p₁ = 48 %

x₁ = 0,48 * 450        x₁ = 216

Sample proportion 2:  Born between 1965 and 1971

sample size    n₂  = 300

p₂ =  0,60         p₂ = 60%

x₂  = 0,6* 300     x₂  = 180

Test Hypothesis:

Null Hypothesis                          H₀               p₂  =   p₁

Alternative Hypothesis              H                p₂  >  p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume  CI = 95 %   then significance level α   = 5 %  the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score  is z(c)  for  α = 0,05       from z-table   z(c) = 1,64

To calculate z(s)

z(s)  =  ( p₂  -  p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁  =  0,60  - 0,48

p₂ - p₁  =  0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216  + 300) / 450 + 300

p = 516 / 750     p = 0,688      then   q = 1 - p     q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)|   and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the  claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

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A rental car company offers the following two pricing methods for its customers to choose from for a one-month rental:Method 1: Pay $400 for the month, orMethod 2: Pay $0.30 per mile plus a standard maintenance fee of $35.Construct a linear function that models the relationship between the miles driven and the total rental cost for Method 2. Let represent the number of miles driven and represent the rental cost (in dollars).Complete the equation belowy = _______________Use x as your variable. I will give you BRAINLIEST for the correct answer Anoche yo ____ (sacar/jugar) la fotografas para el club y tambin yo ____ (Tocar/jugar) con mis amigos ftbol ayer As it relates to the information in the article, what does With a Few Flat Tires Along the Way in the title suggest? *15 pointsA Women rode bicycles along rough and unpaved roads.B Women encountered resistance to their efforts.C Women had a difficult time learning to ride bicycles.D Women were unused to dealing with mechanical issues. what's the volume of this composite figurea. 272 cubic inchesb. 192 cubic inchesc. 180 cubic inchesd. 372 cubic inchesplease help!! I'll give brainiest 8.40 is shared equally between three brothers. How much does each brother receive? pls help 15 points Read the passage below from The Unseen Values.However we think of it, it is a dawning period and one whichin its scope and potentialpromises to dwarf much of what has gone before. Those who have given careful thought to the matter are convinced that while some caution is in order, the new era is not one to be approached with timidity, inhibited imagination or too much convention. Neither is there any point in trying to hold off the tempo of this oncoming age or, in any other way, to evade it.What tone is represented in the authors use of the words, timidity, inhibited, and too much in the passage above?patrioticdisappointedexciteddisapproving Which equation can best be modeled by the expression 10(-4) In the barren desert, water is a precious _______ _______. A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.P(2 and S)a. 1/6b. 1/5c. 1/30d. 1/11HELP What are the key social components in place for an Absolute monarch to remain in power? Please solve 64^x=4096 5. How is density affected when the latitude increases? 55. A triangle has two angles measuring 46 and 14. Determine the measure of the third angle.\(*\)) The cost of a new car is $16,500. You can Finance the purchase by paying $500 down, and $350 a month for 60 months. What is the amount financed (Cash Price - Down Payment)? Describe what a parable is. Give an example of one parable. Describe what happened in that parable and what it means. - subject is religion Oaktree Company purchased new equipment and made the following expenditures: Purchase price $53,000 Sales tax 3,000 Freight charges for shipment of equipment 780 Insurance on the equipment for the first year 980 Installation of equipment 1,800 The equipment, including sales tax, was purchased on open account, with payment due in 30 days. The other expenditures listed above were paid in cash.Required:Prepare the necessary journal entries to record the above expenditures. Question to this please not sure How do people relate to one another in tang and song?PLZZZZZZZZZZZ HELP I WILL GIVE 5 STARS IF YOU HELP AND GOES WITH THE QUESTION. Please help ASAP. Its due today. NO LINKS PLEASE. I would like an actual answer.How is Trumans character in The Truman Show developed to make him believable?