1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLEGan [10]
4 years ago
11

Jimmie invested $27,500 at 6.27% compounded continuously. What will Jimmie's account balance be in 50 years?

Mathematics
1 answer:
nika2105 [10]4 years ago
3 0

Answer:

$632,187.50

Step-by-step explanation:

hello,

compounding continuously means that we have to multiply by

e^{0.0627*t}

t is the number of years

so the account balance in 50 years is

27,500e^{0.0627*50}=632,187.48565....\\

so it gives

$632,187.50

hope this helps

You might be interested in
How much is 109 divided by 5?
butalik [34]
There's more than one way to do this problem.

Try this:  Mult. both 109 and 5 by 2, obtaining 218 and 10.

What is 218 div. by 10?  Do this in your head.
6 0
4 years ago
Here is a table of values for y=f(x).
GenaCL600 [577]

i would pick number C) since i think it would be the correct answer

5 0
3 years ago
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo
BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{p(1-p)}{n} }

=>   \sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }

=>   \sigma  = 0.02612

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )

    P(X < 0.03) =  P( Z  < -2.297 )

From the z-table  

     P( Z  < -2.297 ) = 0.01

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

4 0
3 years ago
If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = and csc 105º = .
andreyandreev [35.5K]

Answer:

cos (105°) = - 2.6

csc (105°) = 1.03

Step-by-step explanation:

Given that cos (-105°) = - 0.26 {The negative sign is due to the angle - 105° lies in the third quadrant where cos value is negative}

Again, given that csc (- 105°) = - 1.03 {{The negative sign is due to the angle - 105° lies in the third quadrant where csc value is negative}

Now, cos (105°) = - 2.6, because 105° lies in the second quadrant and here cos value is negative.

And csc (105°) = 1.03, because 105° lies in the second quadrant and here csc value is positive. (Answer)

3 0
4 years ago
Hello people ~
Luden [163]

Cone details:

  • height: h cm
  • radius: r cm

Sphere details:

  • radius: 10 cm

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

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

<u>Using Pythagoras Theorem</u>

(a)

TO² + TU² = OU²

(h-10)² + r² = 10²                                   [insert values]

r² = 10² - (h-10)²                                     [change sides]

r² = 100 - (h² -20h + 100)                       [expand]

r² = 100 - h² + 20h -100                        [simplify]

r² = 20h - h²                                          [shown]

r = √20h - h²                                       ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

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

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (\sqrt{20h - h^2})^2  \  ( h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20h - h^2)  (h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20 - h) (h) ( h)

\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)

To find maximum/minimum, we have to find first derivative.

(c)

<u>First derivative</u>

\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )

<u>apply chain rule</u>

\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}

<u>Equate the first derivative to zero, that is V'(x) = 0</u>

\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0

\Longrightarrow \sf 40h-3h^2=0

\Longrightarrow \sf h(40-3h)=0

\Longrightarrow \sf h=0, \ 40-3h=0

\Longrightarrow \sf  h=0,\:h=\dfrac{40}{3}<u />

<u>maximum volume:</u>                <u>when h = 40/3</u>

\sf \Longrightarrow max=  \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )

\sf \Longrightarrow maximum= 1241.123 \ cm^3

<u>minimum volume:</u>                 <u>when h = 0</u>

\sf \Longrightarrow min=  \dfrac{1}{3} \pi (0)^2(20-0)

\sf \Longrightarrow minimum=0 \ cm^3

6 0
2 years ago
Read 2 more answers
Other questions:
  • What value or values of x satisfy 2|x+5.3|=4.2
    5·2 answers
  • Solve without calculator log54 base 10​
    6·1 answer
  • How do I do the problem?
    7·1 answer
  • HELP ME PLEASE ASAP?!?What is the value of n?
    7·1 answer
  • Identify and define the variable for the situation​
    8·1 answer
  • What is the value of x?<br> Enter your answer in the box.<br> X=
    6·1 answer
  • HELP IM TIMED. ILL MARK BRAINLIEST!
    13·2 answers
  • Which ordered pair is the solution to the system of linear equations y=-7X+2 and y = 9%-14?
    11·1 answer
  • Beth has just received an inheritance of $500,000 and would like to be able to make quarterly withdrawals over the next 20 years
    12·1 answer
  • Classify each of the following lines as parallel, transversal or perpendicular.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!