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
OleMash [197]
3 years ago
9

If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will

Mathematics
1 answer:
Bas_tet [7]3 years ago
7 0

Answer:

It will take about 35.439  years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

A=P\,e^{r*t}

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years

You might be interested in
Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar?
uranmaximum [27]
2444444444444444444444
3 0
2 years ago
Read 2 more answers
Juan decided to start saving for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of
Norma-Jean [14]

Answer:

$5504

Step-by-step explanation:

Given that :

Principal amount = $500

Interest = 4% simple interest annually

Amount added at the end of each year :

First year:

Principal + (Principal * rate * time)

500 + (500 * 0.04) = 520

$520 + $250 = $770

2nd year:

770 + (770 * 0.04) = $800.80

$800.80 + $250 = 1050.80

3rd year:

1050.8 + (1050.8 * 4) = 5254

$5254 + 250 = $5504

5 0
3 years ago
Someone help w pre-algebra, smth about proportional data
inessss [21]

Answer:

The answer is no because for 1 hour he gets 20 dollars and for 2 hours he gets 30$ (which is less for working 2 hours). So, if you multiply 2 hours with 20 dollars, you should get 40, not 30. So therefore, it is not proportional. And same for 3 hours: multiply 3 with 20 to get 60, not 50.

6 0
2 years ago
Read 2 more answers
Find the slope of the line passing through the points (3,9) and 12,-5)​
astraxan [27]

Answer:

9/-24  or ~ -0.38

Step-by-step explanation:

x       y

3      9

12   -15

from 9 to -15 it will be subtracting 24

From 3 to 12 it will be adding 9

y/x = 9/-24  or -0.375 ~ -0.38

7 0
2 years ago
Can sum1 help me w this plz
mel-nik [20]

Answer:  x = 1.28 or -1.28

5 0
2 years ago
Read 2 more answers
Other questions:
  • Create or find your own, unique function h(x). discuss the limit of your function as latex: x x approaches some particular value
    7·1 answer
  • (20 points)In 2008, there were 6.7 × 10^9 people living on earth. What is that number in standard notation?
    8·2 answers
  • Jessa wanted to buy 4 new pairs of socks and she had $25 to do so. Write the equation that Jessa could use to determine how much
    5·1 answer
  • April is an avid chess player. She sets up a coordinate system on her chess board so she can record
    13·1 answer
  • C(4,-1),D(4,-5),E(2,-3)
    13·1 answer
  • 10. Which of the following functions is the inverse of the function {(1,2).(3,4).(6,8)) ? (1 point)
    14·1 answer
  • Find the sum of the measures of the interior angles in the figure.
    12·1 answer
  • Larry can only work 35 hours per week because he is part-time and that is the max allowed by his workplace. In the next15 weeks
    11·1 answer
  • 12x - 6y = 13<br> 8x - 4y = -21
    8·1 answer
  • I need help with this question ​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!