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Anika [276]
3 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]3 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]3 years ago
5 0
It will take approximately 1.04 years to double the principal amount.


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Marianna [84]

Answer:

1. 22

2. 8

3. 31

4. 20

5. 38

6. 22

7. 26

8. 16

9. 14

10. 28

Step-by-step explanation:

USE PEMDAS

P: Parantheses

E: exponents

D: division

A: addition

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8 0
3 years ago
Juanita runs every third day and swims every fifth day. If Juanita runs and swims today, in how many days will she run and swim
Ber [7]

we know that

The least
common multiple (LCM) of two or more numbers is the least

number, other than zero, that is a multiple of all the numbers.

In this problem, we are looking for the least common multiple of 3 and 5

So

Multiply 3 by 5

LCM=3*5\\ LCM=15

therefore

On the 15th day after today, she will do both on the same day

the answer is

15 days

3 0
3 years ago
Read 2 more answers
What is 9x+1=7x-9? Help, please :) thanks.
dsp73
9x + 1 = 7x - 9
-7x. -7x
2x + 1 = -9
-1. -1
2x = -10
Divide by 2
x = -5
3 0
3 years ago
I need help what is this?
zhuklara [117]

Answer:

picture from Goldbach's conjecture.

Step-by-step explanation:

Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states:

Every even integer greater than 2 is the sum of two primes.

The conjecture has been shown to hold for all integers less than 4 × 10^18, but remains unproven despite considerable effort.

So on the red and blue axes you see primes. The list of black numbers are even numbers.

8 0
3 years ago
The half life of a certain substance is about 4 hours. The graph shows the decay of a 50 gram sample of the substance that is me
olga55 [171]
I can't see how any of those formulas show exponential decay.  (Did you type those correctly?)

The formula that will show the remaining amount correctly is:
ending amount = Bgng Amount / 2^n
where "n" is the number of haf-lives.

So, for example if half life = 4 hours and if we want to calculate the amount after 9 hours (that's 2.25 half-lives) then:
ending amount = Bgng Amount / 2^n
ending amount = 50 / (2^(9/4))
ending amount = 50 / 2^2.25
ending amount = 50 / <span><span><span>4.75682846 </span>
</span></span><span><span>ending amount = </span> 10.5112 grams
</span>Looking at the graph, we see that's about right.
 

7 0
3 years ago
Read 2 more answers
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