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]
2 years 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]2 years 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
A student is training for the swim team during July and August one summer. She swims one hour every day, while averaging 800 met
Alex787 [66]

Step-by-step explanation:

Please find the attachment.

Let x be the number of hours the student swims per day.

We have been that a student swims one hour every day, so in 2 months the student will swim 60 hours.

We are also told that the student swims 800 meters each day. This means that slope of the graph that represents the total meters swam during the time of her training program will be 800.          

So in 60 days the student will swim 60\times 800=48,000\text{ meters}.

We can see from our attached graph that at x equals 60 our y is approximately 48.

Since y-axis represents the number of meters in thousands, so 48 stands for 48,000.

Therefore, attached graph is the right choice.

3 0
3 years ago
Make x the subject of the formula p - qx = nx + r^2 - wx / m
Misha Larkins [42]

Answer:

x=\frac{n-5p}{pq}

Step-by-step explanation:

trust

6 0
3 years ago
Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°. Parallel lines e and f are cut by transversal c and d. All angl
loris [4]

Answer:

The angle measures that are correct are m<2 = 125degrees, m<8 = 55 degrees and m<14 = 100 degrees

Given the following angles from the diagram;

m<5 = 55 degrees

m<9 = 80degrees

From the diagram

m<5 = m<1 = 55 degrees (corresponding angle)

m<1 + m<2 = 180 (sum of angle on a straight line)

Hence;

55 + m<2 = 180

m<2 = 180 - 55

m<2 = 125degrees

Also;

m<5 = m<8 = 55 degrees (vertically opposite angle)

m<9 = m<13 = 80degrees

m<13 + m<14 = 180

Hence;

80 + m<14 = 180

m<14 = 180 - 80

m<14 = 100 degrees

Hence the angle measures that are correct are m<2 = 125degrees, m<8 = 55 degrees and m<14 = 100 degrees

Step-by-step explanation:

7 0
2 years ago
Solve for x: [x - 2 + 10 = 12
Monica [59]

Answer:x-2+10=12

We move all terms to the left:

x-2+10-(12)=0

We add all the numbers together, and all the variables

x-4=0

We move all terms containing x to the left, all other terms to the right

x=4

Step-by-step explanation:

5 0
3 years ago
Please help, PhotoMath isn’t helping and I don’t understand
Pie

Answer:

Option B

Step-by-step explanation:

As here,

In all the options processes in 3rd step .

<u>As</u><u> </u><u>the</u><u> </u><u>bases</u><u> </u><u>are</u><u> </u><u>same</u><u> </u><u>exponents</u><u> </u><u>get</u><u> </u><u>added</u><u>. </u>

And in Option B 3rd step it has been correctly done form of,

{ ({2}^{ \frac{1}{4} } )}^{4}   = 4

Is correct simplification.

4 0
2 years ago
Other questions:
  • What is the median of the data set given below?
    8·2 answers
  • Find the solutions to the equation 10^2x+11=(x+6)^2-2. Which values are approximate solutions to the equation check all that app
    6·2 answers
  • Find the ordered pair $(s,t)$ that satisfieFor a certain value of $k,$ the system \begin{align*} 3a + 4b &amp;= 7,\\ 6a + 4b &am
    15·2 answers
  • Convert the equations into slope intercept form,
    6·1 answer
  • What will increasing the size of a probability sample do? decrease the level of confidence increase the variability of a sample
    9·1 answer
  • Simplest form 3/53/56 ​
    10·2 answers
  • Earl runs 25 meters in 10 seconds. How many meters does Earl run per second?
    8·1 answer
  • Which of the following equations has no solution?
    11·2 answers
  • PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
    7·1 answer
  • I need help giving crown
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!