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
Anika [276]
2 years ago
15

The amount of money in an account with continuously compounded interest is given by the formula A = Pert , where P is the princi

pal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded continuously at 3.1%.
Round to the nearest tenth.
Mathematics
2 answers:
soldi70 [24.7K]2 years ago
8 0
A=future amount
P=present amount
r=rate in decimal
t=time in years


when A=2P, then that is double
A=Pe^(rt)
2P=Pe^(rt)
divide by P
2=e^(rt)
r=3.1% or 0.031 solve for t
2=e^(0.031t)
take the ln of both sides
ln(2)=0.031t
divide both sides by 0.031
(ln(2))/0.031=t
use calculator
22.359=t
round to tenth
22.4 years to double
natima [27]2 years ago
5 0
It will take approximately 1.04 years to double the principal amount.


You might be interested in
What is the percent for 220
Nataly_w [17]

Answer:

I'm pretty sure it's 2.2

5 0
3 years ago
Read 2 more answers
What two numbers equal the absolute value of 15
Drupady [299]

There is only one number that is equal to the absolute value of  15.
That number is  15.

But wait !

There are two different numbers WHOSE ABSOLUTE VALUES
are both  15.

Those numbers are  15  and  -15 .

3 0
3 years ago
Value of m varies directly as value of n and n=5 when m=12. What is n when m=18?
ohaa [14]
Simplify the problem down, so:

m = 12 & n = 5
m = 6 & n = 2.5 <span>(divided each number by 20)
</span>
Now m is a factor of 18. Multiply each number by 3.
Answer: m = 18 & <span>n = 7.5</span>
6 0
3 years ago
A camper wants to know the width of a river. From point A, he walks downstream 60 feet to point B and sights a canoe across the
Anarel [89]
<h2>Hello!</h2>

The answer is:

The correct option is:

D. 40 feet.

<h2>Why?</h2>

To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:

Tan\alpha =\frac{Opposite}{Adjacent}

Where,

alpha is the given angle, 34°

Adjacent is the distance from A to B, which is equal to 60 feet.

Opposite is the distance from A to C which is also equal to the width of the river.

So, substituting and calculating we have:

Tan(34\°) =\frac{Width}{60ft}

Width=60ft*Tan(34\°)=60ft*0.67=40.2ft=40ft

Hence, we have that the correct option is:

D. 40 feet.

Have a nice day!

6 0
2 years ago
Read 2 more answers
Oliver has one juice box and Lucy has one fewer juice box than Oliver how many juice boxes does Lucy have
Crazy boy [7]
The answer is zero. Oliver only has one. So one few would be zero
5 0
3 years ago
Read 2 more answers
Other questions:
  • I need to solve for x and I’m confused it’s about angels please help me
    12·1 answer
  • A chef buys 9 cucumbers, 18 peppers, and 21 tomatoes at the farmer's market. How much does she spend? Cucumbers 6 for $2, Pepper
    7·2 answers
  • 2 step equations 5x+7=27 2p-15=35 c/2-15=-5 Please help
    15·1 answer
  • deanna gets 3 problema incorrect on her math quiz. her score is 85%. how many questions are on the quiz
    15·2 answers
  • Help pleasee!!!!!!!!
    15·1 answer
  • Critical Thinking It has been shown that the graph of g(x) = x + 3 is the result of translating the graph of ƒ(x) = x three unit
    8·1 answer
  • Convert: ___minutes= 7/10 hour
    8·1 answer
  • What is the square root of 0.01<br> answer has to be a fraction :)
    15·1 answer
  • If u walk to school at a rate of 3 miles per hour how long will it take u to walk 6 miles
    13·1 answer
  • Geometry: fill in the blanks (ASAP! It’s urgent)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!