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
igor_vitrenko [27]
3 years ago
6

8r.) Find the amount A in an account after t years given the following conditions.

Mathematics
2 answers:
Elden [556K]3 years ago
8 0

You can rewrite the differential equation as

50\cdot\dfrac{dA}{A}=dt\\\\50\ln{(A)}+C=t\qquad\mbox{integrating}\\\\t=50\ln{\left(\dfrac{A}{4000}\right)}\qquad\mbox{applying the boundary condition}

This last expression looks like the one you describe. If you solve for A instead of t, you get

A=4000\cdot e^{0.02t}

This is the same as your other answer.

zvonat [6]3 years ago
3 0

dA/dt = 0.02A

dA/A = 0.02dt

integrating left n right

lnA = 0.02t + C where C is a constant

at t=0, A=4000

C=ln4000

lnA = 0.02t + ln4000

0.02t = lnA-ln4000

t = ln(A/4000) / 0.02

t = 40ln(A/4000)

You might be interested in
X + y =7<br>x - y= 1<br><br>find X and Y​
Lena [83]
X=4 Y=3 djdndndjdnsnsndbdbdbdd
7 0
3 years ago
Read 2 more answers
Please help ;p with math math hard last question plz help i on have 3 minutes
nika2105 [10]

Answer:

3rd box

Step-by-step explanation:

BRAINLIEST PLEASE

8 0
3 years ago
Read 2 more answers
Which equation represents the line shown?
vredina [299]

Answer:

B

Step-by-step explanation:

The line is running only across coordinate points with an x coord of 2

5 0
2 years ago
According to the National Telecommunication and Information Administration, 56.5% of U.S. households owned a computer in 2001. W
Liono4ka [1.6K]

Answer:

Step-by-step explanation:

Assuming a binomial distribution for the number of U.S. households that owned a computer in 2001. The formula for binomial distribution is expressed as

P(X = r) = nCr × q^(n - r) × p^r

Where

p = probability of success

q = probability of failure

n = number of sample

From the information given,

p = 56.5% = 56.5/190 = 0.565

q = 1 - p = 1 - 0.565 = 0.435

n = 3

We want to determine P(x greater than or equal to 1). This is also expressed as

1 - P(x lesser than or equal to 1)

P(x lesser than or equal to 1) = P(x = 0) + P(x =1)

P(x = 0) = 3C0 × 0.435^(3 - 0) × 0.565^0 = 0.082

P(x = 1) = 3C1 × 0.435^(3 - 1) × 0.565^1 = 0.32

P(x greater than or equal to 1) = 0.082 + 0.32 = 0.402

6 0
3 years ago
Write 7:30 in two ways pertaining to time
Vanyuwa [196]
Seven-thirty.
A half an hour past seven o'clock.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Anyone know how to do BOTH of these? Thanks!
    10·2 answers
  • Please help me with this question
    9·1 answer
  • A campus coffee shop charges $1.30 for a cup of coffee, and the tenth cup is free. If you take advantage of this offer, how much
    15·2 answers
  • Give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4.
    10·1 answer
  • What is the 20th term of the geometric sequence that starts with .02 and has a ratio of 2?
    10·1 answer
  • What is the best reason for fuelers to wear uniforms on their job?
    11·1 answer
  • Helppppp please i need to know the answer right now! Thanks!
    14·1 answer
  • Solve the following by substitution : -<br><br>x + y = 10<br>x - y = 5
    14·2 answers
  • *WILL GIVE BRAINLY HELP PLS*
    14·1 answer
  • Determine the quadratic equation with roots
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!