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-Dominant- [34]
3 years ago
10

a savings account balance is compounded continuously. If the interest rate is 3.1% per year and the current balance is $1077.00,

in how many years will the balance reach $1486.73
Mathematics
1 answer:
enot [183]3 years ago
4 0

Answer:

10.55 years

Step-by-step explanation:

In order to calculate the number of years, you have to isolate N from the formula:

FV=PV*(1+I)^N

FV= Future value

PV= Present value

i= Interest rate

N= number of periods

FV/PV=(1+i)^N

ln(FV/PV)=Nln(1+i)

N=ln(FV/PV)/ln(1+i)

Now you have to replace the formula to find the answer:

FV= 1486.73

PV= 1077

i= 3.1%

N= ln(1486.73/1077)/ln(1+0.031)

N= ln(1.38)/ln(1.031)

N= 10.55

The answer is that it will take 10.55 years for the balance to reach $1486.73.

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Select the correct answer.
marishachu [46]

Answer:

M = \log(10000)

Step-by-step explanation:

Given

M = \log(\frac{I}{I_o})

I = 10000I_o ---- intensity is 10000 times reference earthquake

Required

The resulting equation

We have:

M = \log(\frac{I}{I_o})

Substitute the right values

M = \log(\frac{10000I_o}{I_o})

M = \log(10000)

5 0
3 years ago
Explain the differences (exponents)<br><br> -6^4 and (-6)^4
wel

Step-by-step explanation:

-  {6}^{4}  =  - 1296 \\  \\  (-  {6})^{4}  =  1296

The product of -6^4 is negative whereas the product of (-6) ^4 is positive.

7 0
3 years ago
HELP PLS NEED THIS IN 5 MIN
swat32

Answer:

0.25

Step-by-step explanation:

1. Add up all of the students.

20+20+25+7+13+5+3+2+5=100

2. Make a ratio of that number and the number of all the students in Music/Drama

MUSIC/DRAMA: 7+13+5=25

\frac{25}{100}

3. Simplify

\frac{25}{100} = \frac{5}{20} =\frac{1}{4} = 0.25

8 0
3 years ago
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Mazyrski [523]

Answer:

266 tickets

Step-by-step explanation:

Ratio of adult tickets to child tickets is 4 : 3

So, if we think of these as "parts", there are 4 parts adult tickets and 3 parts child tickets.

In total there is:

4 + 3 = 7 parts

Now, given 152 adult tickets. If there are 4 parts of adult tickets, how much is each part worth?

152/4 = 38

Total amount of tickets is 7 of these "parts", so total number of tickets is:

38 * 7 = 266 tickets

5 0
3 years ago
Read 2 more answers
Is this an example of inductive reasoning, deductive reasoning, or neither?
densk [106]

Since the specific conclusion is based on a general premise, this is a case of deductive reasoning.

<h3>What is deductive reasoning?</h3>

The term deductive reasoning has to do with the process of arriving at a specific conclusion based on a more general premise.

In this case, the conclusion arrived at was based on the fact that Mia saw a general sign that read that 3 grapefruit cost $2.50. Hence, this is a case of deductive reasoning.

Learn more about deductive reasoning:brainly.com/question/16685989

#SPJ1

5 0
2 years ago
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