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
fredd [130]
3 years ago
6

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0

.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.
Mathematics
2 answers:
fenix001 [56]3 years ago
8 0

Answer:

8

Step-by-step explanation:

edg

Nuetrik [128]3 years ago
4 0

Answer:

8 years

Step-by-step explanation:

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^{0.05t} = 150 represents the situation, where t is the number of years the money has been invested.

To find out how long has the money invested we need to find out 't'

100e^{0.05t} = 150 , solve for t

divide both sides by 100

e^{0.05t} = 1.5

Now to remove 'e' we take ln on both sides

ln(e^{0.05t) = ln 1.5

the value of ln(e)= 1

0.05t = ln 1.5

Now divide by 0.05 on both sides

t = 8.10930

The money is invested for 8 years

You might be interested in
Using the function below, evaluate f(-2). *<br> 2 points<br> f(x) = 3x? - 5x - 2
monitta
Okay so I'm guessing that they are two different formulas the f(x)= 3x and the f(x)= -5x-2. If that's is true then you would just have to plug in -2 to the x's. So then it would be f(x)= 3(-2) which if you solve it would give you f(x)= -6 and for the second one it would be f(x)= -5(-2)-2 so then you would solve for it and get f(x)= 8.
6 0
3 years ago
Solve this equation 13(y+7)=3(y−1)
Alchen [17]
13(y+7)=3(y-1)
13y+91=3y-3
13y-3y=-91-3
10y=-94
-94/10
Y=-9.4
6 0
3 years ago
Read 2 more answers
Enter a linear equation that models the situation.
balu736 [363]

Answer: 1.30p + 3n = 35

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Complete the equation that represents the total value of the nickels and p pennies
vovikov84 [41]

Answer:

<em>Answers below</em>

Step-by-step explanation:

<u>Equation</u>

Let's call:

p = number of pennies Janesa has in her pocket

n = number of nickels Janesa has in her pocket

She has 24 coins in total, thus:

p + n=24\qquad\qquad [1]

Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

0.01p+0.05n=1

Multiplying by 100:

p+5n=100\qquad\qquad [2]

A. Completing the equation:

5n+p=100

B.

From [1]:

p=24-n

Substituting into [2]:

24-n+5n=100

Simplifying:

24+4n=100

Rearranging:

4n=100-24=76

n=76 / 4= 19

p=24-19=5

B. There are 5 pennies in Janesa's pocket

C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05

The total value of the pennies is $0.05

D. The total value of the nickels is 19*$0.05 = $0.95

E. Jackson should say she has 19 nickels and 5 pennies

5 0
2 years ago
Read 2 more answers
Triangle KLM has vertices K(3, −5) , L(6, −5) , and M(2, −9) .
Leno4ka [110]

Answer:

The answer is below. Sorry that this is late.

Step-by-step explanation:

Hope this helps!

4 0
2 years ago
Other questions:
  • What is the equation of a line that has a slope of −1/2 and a y-intercept of 3? Express your answer in slope-intercept form.
    6·1 answer
  • Ronald and shella spent $88 to go to to dinner thirty percent of this cost was for parking downtown that spent the remainder of
    15·1 answer
  • Hi All,
    7·1 answer
  • Which of the following is the correct order in which to do mathematical operations?
    13·2 answers
  • what is an equation of the line that passes through the point (-5,-6) and is perpendicular to the line x+2y=2
    5·1 answer
  • Tina wants to install a square hot tub in her backyard.The backyard is 10feet by 50 feet ,and the hot tub will be 8 feet of the
    10·1 answer
  • Write the function notation for the transformation that would change f(x) to have a vertical
    11·1 answer
  • A laptop computer was marked up 100% from an original cost of $740. Last Friday, Judy bought the laptop computer and paid an add
    12·1 answer
  • Plot x and y intercept of Y=1/3x-1
    8·1 answer
  • Which two numbers have a 3 that is 10 times the value of the 3 in 1,249.35?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!