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
attashe74 [19]
3 years ago
15

How long would it take you to double your money is the bank pays 3.6% interest, compounded

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

Answer:

t=19.25\ years

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x  

substitute in the formula above

2x=x(e)^{0.036t}  

solve for t

simplify

2=(e)^{0.036t}  

Apply ln both sides

ln(2)=ln[(e)^{0.036t}]

Applying property of exponents

ln(2)=[0.036t]ln(e)

Remember that ln(e) =1

ln(2)=[0.036t]

t=ln(2)/[0.036]

t=19.25\ years

You might be interested in
Help I WILL GIVE Brainiest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
kondor19780726 [428]

Answer:

b. infinite solutions

Step-by-step explanation:

-\frac{1}{2}x+\frac{1}{2}y=-1\\\\\textsf{subtract} \ -\frac{1}{2}y \ \textsf{from both sides:}\\\\\implies -\frac{1}{2}x=-1-\frac{1}{2}y\\\\\textsf{mulitply both sides by -2:}\\\\\implies x=2+y\\\\\textsf{subtract} \ y \ \textsf{from both sides:} \ x-y=2

Therefore, the graphs are the same.

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

6 0
2 years ago
Read 2 more answers
On a particular map, 3 inches on the map equates to 10 miles in real life. If you know that the real-life distance between two b
Yakvenalex [24]

Answer:

15\dfrac{39}{40} $ inches

Step-by-step explanation:

On the map, 3 inches = 10 miles in real life.

Therefore:

10 miles: 3 Inches

1$ miles rep $ \dfrac{3}{10}$ inches

If the real-life distance between two buildings is 53.25 miles

Distance on the map

\dfrac{3}{10}$ X 53.25 inches\\=15.975 inches

=15\dfrac{39}{40} $ inches

The distance between the two buildings on the map is therefore: 15\dfrac{39}{40} $ inches

3 0
3 years ago
Ricky said that two acute angles can be supplementary; but Bobby disagrees. Who is correct? Give an example to prove your argume
saw5 [17]

Answer:

Bobby is correct

Step-by-step explanation:

Acute angles are classified as angles with a measurement of greater than 0° but less than 90°. If you add two acute angles, each as large as possible, the total will be less than 180 degrees.

6 0
2 years ago
If six out of 15 customers order a chicken sandwich, how many chicken sandwiches should a restaurant predict they will need to s
defon
Given:
6 out of 15 customers order a chicken sandwich
270 customers

This is a problem of ratio and proportion:

a/b = c/d where ad = bc
6/15 = x/270
6 * 270 = 15x
1,620 = 15x
1620 / 15 = x
108 = x

The restaurant should predict to serve 108 chicken sandwich to the 270 people.
7 0
3 years ago
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $8 and eac
mash [69]

Answer:

the closest I found was 79

Step-by-step explanation:

8×43=344

760-344=416

416÷11.5=36.173

36+43=79

7 0
3 years ago
Other questions:
  • Is the square root of 5 times the square root of 5 rational?
    8·1 answer
  • Which expression is equal to 75√ ?<br><br> 75√25<br><br> 355√<br><br> 75√5<br><br> 4935√
    7·1 answer
  • 102,000 with deduction of 27,549 what is net pay?
    12·1 answer
  • TRANSFORMATI IN CENTIMETRI:20MM,60MM,300MM,670MM
    7·2 answers
  • Find the slope of a line given the following two points: (4, 3) and (5, 2). 1, -1, 2, -2
    8·1 answer
  • Y = 2x^2+4x-3 If you were to do a quadratic formula then what is a,b, and c?
    14·2 answers
  • Ernesto wants to buy a snack from the vending machine. The vending machine has 5 different kinds of chips, 8 different candy bar
    9·1 answer
  • I need help on this please SHOW WORK
    7·1 answer
  • Find the distance between two points (5,10) and (-4,6)​
    11·1 answer
  • Can you pls help me with this question?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!