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
Aleksandr-060686 [28]
3 years ago
11

I need help!

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0
<h3>Answer:  23 years</h3>

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

Work Shown:

P = 1000 is the amount deposited

We want this value to double to A = 2000 which is the amount in the account at time t (in years).

r = 0.03 represents the interest rate in decimal form.

The value of t is unknown but we can solve for it like so

A = Pe^{rt}\\\\2000 = 1000e^{0.03t}\\\\2 = e^{0.03t}\\\\\ln(2) = \ln\left(e^{0.03t}\right)\\\\\ln(2) = 0.03t\ln\left(e\right)\\\\\ln(2) = 0.03t*1\\\\\ln(2) = 0.03t\\\\

0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\

It will take about 23 years for the amount to double.

As a check,

A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\

which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.

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

Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.

You might be interested in
Choose the inequality that could be used to solve the following problem.
kirill115 [55]

Answer:

Correct choice is C

Step-by-step explanation:

Let x be unknown number.

Three times a number x is 3\cdot x=3x.

Three times a number is no less than negative six means that the number 3x can be equal to -6, can be greater than -6, but cannot be less than -6.

Thus,  the inequality that could be used to solve the  problem is

3x\ge -6.

7 0
3 years ago
Read 2 more answers
What is the angle of GHD?
natta225 [31]
The answer is 102


3x+2x+50=180
5x+50=180
5x+50-50=180-50
5x=130
5x/5=130/5
X=26
2(26)+50=102
3 0
3 years ago
A 4500 kg vehicle and a 3700kg vehicle are both moving at a speed of 85m/s toward east.Calculate the momentum of each veheicle?
lana [24]
The momentum formula is
p = m*v

where,
p = momentum (not sure why p is chosen but many physics books tend to pick this letter)
m = mass in kilograms
v = velocity in meters per second

So let's calculate the momentum for the 4500 kg vehicle
p = m*v
p = 4500*85
p = 382500 kg m/s

And let's do the same for the 3700 kg vehicle
p = m*v
p = 3700*85
p = 314500 kg m/s
8 0
3 years ago
Y'all I need help asap
worty [1.4K]

Answer:

Let's solve for x.

4x+5y=7

Step 1: Add -5y to both sides.

4x+5y+−5y=7+−5y

4x=−5y+7

Step 2: Divide both sides by 4.

4x/4=−5y+7/4

x=−5/4 y+ 7/4

Answer: for the first one x=−5/4 y+ 7/4

3x−2y=−12

Step 1: Add 2y to both sides.

3x−2y+2y=−12+2y

3x=2y−12

Step 2: Divide both sides by 3.

3x/3=2y−12/3

x=2/3y−4

Answer:

x=2/3y−4

Step-by-step explanation:

4 0
3 years ago
Which expression has a value of 90?
ratelena [41]

Answer:

1. 73.2

2. 90

3. 80

4. 80

Step-by-step explanation:

you will have to divide 3,600 by 50

8 0
2 years ago
Read 2 more answers
Other questions:
  • Logbase3 (x+2)= log base3 (2x^2-1) steps 1 through 6
    11·1 answer
  • How do I substitute this?
    12·1 answer
  • Determine if x-6 is a zero and find the quotiant and the remainder​
    14·1 answer
  • Adding and subtracting percents of quantity
    8·1 answer
  • 33 POINTS POSSIBLE PLEASEEEE HELP
    8·1 answer
  • 4/9 + 2/9 simplified​
    11·2 answers
  • Which point on the number line best represents √67?
    12·1 answer
  • Find the surface area of this triangular prism.
    14·1 answer
  • Write an equation of a parabola that has two x-intercepts and a minimum vertex.
    5·2 answers
  • Who's smart in math here can someone help me pls
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!