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
fredd [130]
3 years ago
5

Alan deposited $300 in an account that pays 6% interest compounded continuously. Approximately how long will it take for Alan’s

money to triple?
(Use formula A=Pe^rt where A is the accumulation amount, P is the initial amount, r is the annual rate of interest, and t is the elapsed time in years.)

Show your work for credit
Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

9514 1404 393

Answer:

  18.3 years

Step-by-step explanation:

You want ...

  A/P = 3 = e^(rt) . . . for r = 0.06

Taking the natural log, this gives ...

  ln(3) = 0.06t

  t = ln(3)/0.06 ≈ 18.31

It will take about 18.3 years for the value to triple.

You might be interested in
A book with 650 pages has 3 pages with diagrams.
Tems11 [23]

Answer:

0.46% is the answer sorry for being late

Step-by-step explanation:

took the test :D hope this helps

4 0
2 years ago
PLZZZZZZZZZ HELP ASAPPPPPPP
Tamiku [17]

Answer:

the answer is 28 if you multiply if not 30

3 0
2 years ago
1. How many fifties are there in one hundred thousand?​
VladimirAG [237]
There are 2,000 fifties in one hundred thousand
7 0
2 years ago
28. Higher Order Thinking What is the<br> least multiple 6 and 8 have in common?<br> Explain.
lisov135 [29]

Answer:

24

Step-by-step explanation:

I think you ask about LCM

6- 2×3

8- 2×2×2

lcm = 2×2×2×3 = 24

7 0
4 years ago
. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what cir
mrs_skeptik [129]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

      P(U |D ) = 0.198

b

   P(O\ n \ B) = 0.188

c

  P(O | B) =   0.498

Step-by-step explanation:

The total number of deaths is mathematically represented as

      T   =  16 +  23 + \cdots  +  16

        T   =623

The total number of deaths in 1996 - 2000 is mathematically represented as

     T_a =  16 +  23+ \cdots + 30

      T_a = 235

The total number of deaths in 2001 - 2005 is mathematically represented as

     T_b =  17 +  16 + \cdots + 23

      T_b = 206

The total number of deaths in 2006 - 2010 is mathematically represented as

     T_c =  15 +  17 + \cdots + 16

      T_d = 182

Generally the the probability that it would occur under the tree given that the death was  after  2000 is mathematically represented as

     P(U |D ) = \frac{P(A \ n\  U )}{P(A)}

Here  P(A \ n\  U ) represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

         P(A \ n\  U )   = \frac{Z}{ T}

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

         Z =  35 +  42

=>       Z =  77

=>       P(A \ n\  U )   = \frac{77}{ 623}

=>      

Also

     P(A) is the probability of the death occurring after 2000  and this is mathematically represented as

        P(A) =  \frac{T_b  +  T_c}{ T}

=>      P(A) =  \frac{ 206+  182}{623}

=>  

So

         P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+  182}{623}}

=>      P(U |D ) = 0.198

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

      P(O | B) = \frac{T_z}{ T}

Here T_z is the total number of death outside / camping before 2001  and the value is  117  

So

            P(O \ n \ B) = \frac{117}{623}

=>          P(O\ n \ B) = 0.188

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

       P(O | B) =  \frac{ P( O \ n \ B)}{ P(B)}

Here P(B) is the probability that it was before 2001 , this is mathematically represented as  

          P(B ) =  \frac{T_a}{T}

=>       P(B ) =  \frac{235}{623}

So

          P(O | B) =  \frac{ \frac{117}{623}}{ \frac{235}{623}}

=>       P(O | B) =   0.498

5 0
3 years ago
Other questions:
  • on a shopping trip, peter spent 1/3 of his money for a jacket and $5 for a hat. If peter still had half of his money left, how m
    13·1 answer
  • A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos. imagine you stick your hand
    12·1 answer
  • Of the 50 students in the cafeteria, 7 have red hair. Suppose there are 750 students in the school. Write a proportion that coul
    8·1 answer
  • What is the general form of the quadratic function ?
    8·1 answer
  • Find the dimension of a rectangle with a perimeter of 56ft if L is 6ft greater than twice the W
    9·1 answer
  • Pleas Help Due Tomorrow <br><br> must SHOW WORK
    6·2 answers
  • The equation of a straight line is y = 20 – X.
    10·1 answer
  • Find the solutions to x^2=27
    6·1 answer
  • Please someone help me please due in 10 min
    8·2 answers
  • Please Help! Solve for X
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!