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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

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Mr.Q's class is having a giveaway where his students can receive 100 classroom credits. He will pull names out of a hat and sele
Sladkaya [172]

Answer:

1/1560

Step-by-step explanation:

The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.

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3 years ago
Using the drawing, if the measure of angle 2 is 42° and the measure of angle 3 is 52°, what is the measure of angle 6?
Anarel [89]
The answer is D. 94°
5 0
4 years ago
Read 2 more answers
Travis had a rectangular garden that measured 10feet by 12 feet. He planted pumpkins in his garden. Each pumpkin olant took up 2
BartSMP [9]

30

dividing the length and width by 2

10 ÷ 2 = 5 and 12 ÷ 2 = 6

he can plant 5 × 6 = 30 pumpkin plants


8 0
4 years ago
Given: If you live in Orlando, then you live in Florida.
____ [38]

Answer:

The law of detachment and syllogism is valid here

Explanation:

The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.

The law of detachment is denoted

[(a→b)∧a]→b

The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.

It is denoted

[(a→b)∧(b→c)]→(a→c)

In the above example, given: If you live in Orlando, then you live in Florida

Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida

5 0
3 years ago
Laura is a single taxpayer, she has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for
Kay [80]

Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.

<h3>What is a tax bracket?</h3>

Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.

The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on

  • whether or not they are single
  • If married, whether they are filing jointly; and
  • how much their annual income is subject to deductibles.

It is to be noted that a general answer was provided here due to insufficient details in the question.

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3 years ago
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