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
Ronch [10]
1 year ago
12

Money in a savings account is compounded continuously over time, t, and is modeled by the function f(t)=1000e0.047t. what is the

rate at which the balance grows?
Mathematics
1 answer:
likoan [24]1 year ago
5 0

<u>Compounded</u><u> continuously the balance grows at a continuous rate of </u><u>1.7%.</u>

What is compound interest ?

  • Compound interest is when you earn interest on both the money you've saved and the interest you earn.
  • So let's say you invest $1,000 (your principal) and it earns 5 percent (interest rate or earnings) once a year (the compounding frequency).

The model used for continuous compounding is

 f(t) = Pe^(rt)

where P is the principal amount, and r is the interest rate being compounded. Assuming a typo in your given equation, you have

 f(t) = 1000·e^(0.017t)

Matching the various parts of the equation, we see that P = 1000 and r = 0.017 = 1.7%.

Therefore, the balance grows at a continuous rate of 1.7%.

Learn more about compound interest

brainly.com/question/14295570

#SPJ4

You might be interested in
Twenty years ago, bruce wayne bought a batmobile for 250250250 million dollars. as the crime in gotham city has been down for a
dem82 [27]

Bruce will receive $160 million for the batmobile.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning means "by the hundred." Percentages is fractions with a denominator of 100.

In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Calculating a percentage implies determining a portion of a whole in term of 100. A percentage can be calculated in two ways:

  1. The unitary technique is used.
  2. By adjusting the fraction's denominator to 100.
  3. It must be noted that second method of percentage calculation is not employed when the denominator isn't a factor of 100. In such circumstances, we employ the unitary technique.

Now, according to the question;

Given that prices fall about 20% every decade;

Thus,  100% - 20% = 80%

He paid $250 million for a batmobile twenty years ago.

Let Bruce to receive x millions of dollars for the batmobile.

⇒ 80% of x = 80/100 × x = 4/5 x

⇒ x = 250(4/5)(4/5)

⇒ x = 250(16/25)

⇒ x = 160

As a result, Bruce will receive 160 millions of dollars for such batmobile.

To know more about the percentage, here

brainly.com/question/317717

#SPJ4

The correct question is-

Twenty years ago, Bruce Wayne bought a batmobile for 250 million dollars. As the crime in Gotham city

has been down for a while, he plans to sell it.

How much can he get for the batmobile if the price goes down by 20% every decade? million dollars

6 0
1 year ago
Which algebraic expression shows the average melting points of helium, hydrogen, and neon if h represents the melting point of h
LenKa [72]
Average = mean = sum of the values / number of data

Values = h, j, and k

Number of data = 3

Sum of the values = h + j + k

Mean = [h + j + k] / 3

=> Answer: option c. [h+j+k] over 3
4 0
2 years ago
Read 2 more answers
Which expression is equivalent to 4^6 ⋅ 4^−8? 1 over 4 to the 2nd power 1 over 4 to the 14th power 42 414
jarptica [38.1K]
4^6*4^-^8 = 4^6^+^-^8=4^-^2= \frac{1}{4^2} = \frac{1}{16}
4 0
3 years ago
Read 2 more answers
Suppose that a college student is taking three courses: a two-credit course, a three-credit course, and a four-credit course. Th
forsale [732]

Answer:

The overall expected grade point average for the semester is 3.16/3.1 or 3.2 if you round it up.

Step-by-step explanation:

To get the average, you need to add up all the numbers then divide the sum by how many numbers you added.

3.5 + 3.0 + 3.0 = 9.5

9.5 / 3 = 3.16

4 0
2 years ago
Read 2 more answers
A parabola intersects the x-axis at x = 3 and x = 9.
Novay_Z [31]

Answer:

6

Step-by-step explanation:

This function corresponds to 'even' function, then

in order to calculate the 'x' of the vertex: (3+9)/2=6.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Help me please answer neede asap
    15·1 answer
  • (?) (-4) = -24<br><br> What is the value of (?)
    14·2 answers
  • Please tell me and explain
    11·1 answer
  • Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.
    14·2 answers
  • Write an equation with a slope of -7 and a y-intercept of (0,4)
    9·1 answer
  • A daffodil grows 0.05m every day. Plot the growth of the flower if the initial length of the daffodil is 0.8m and hence give the
    8·1 answer
  • Write 2x+3y=6 in slope-intercept form. <br> ahhhh i need help stat
    7·1 answer
  • Find a solution if x=2​
    8·2 answers
  • I ask for some help on this (don’t say look it up)
    12·2 answers
  • The function y = -16t2 + 444 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cl
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!