The best way to compare fractions would be to make them have like
denominators. We first , in this case, need to convert from decimal to
fraction.
Converting decimals to fractions first requires an
understanding of the decimal places that fall after the decimal. One
place after the decimal is the tenths place. If you have a decimal that
ends at one place after the decimal (or in the tenths place) it can be
written as the number after the decimal in the top of the fraction and
ten (tenths place) in the denominator. ex. .5 ends one place after
the decimal and can be written as 5/10...(read as five tenths).
If a decimal ends at two places after the decimal...(ex. .75)...it
ends in the hundredths place, can be written as that number in the
numerator and 100 in the denominator....(ex 75/100) and is read as
seventy-five hundredths.
one place after the decimal is tenths (over 10), two places is
hundredths (over 100), three places is thousandths (over 1000) , four
places ten-thousandths (over 10000) and so on.
Because each decimal in your problem has a different amount of
decimal places, it makes for different denominators. But, We can add a
zero to the end of a decimal without changing it's value; if we add a
zero to the end of .5 and make it .50 , we then can write it as 50/100
and would now have like denominators.
if .5 = .50 = 50/100 and .75 = 75/100
we now have the question what fractions can fall between 50/100 and 75/100.
That would be fractions such as 51/100, 52/100, 53/100.......74/100.
Step-by-step explanation:
- She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.
Part a) What type of exponential model is Natalie’s situation?
Answer:
As Natalie's situation implies
- continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.
So, it requires the more generalized version of the principal calculation formula such as:
![P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}](https://tex.z-dn.net/?f=P%5Cleft%28t%5Cright%29%3DP_0%5Ctimes%20%5Cleft%5B1%2B%5Cleft%28i%5C%3A%2F%5C%3An%5Cright%29%5Cright%5D%5E%7B%5Cleft%28n%5C%3A%5Ctimes%20%5C%3A%5C%3At%5Cright%29%7D)
or
![P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}](https://tex.z-dn.net/?f=P%5Cleft%28t%5Cright%29%3DP_0%5Ctimes%20%5Cleft%5B1%2B%5Cleft%28%5Cfrac%7Bi%7D%7Bn%7D%5C%3A%5Cright%29%5Cright%5D%5E%7B%5Cleft%28n%5C%3A%5Ctimes%20%5C%3A%5C%3At%5Cright%29%7D)
Here,
= interest rate
= number of compounding periods
= time period in years
Part b) Write the model equation for Natalie’s situation?
For continuous compounding the number of compounding periods, 
, becomes infinitely large.
Therefore, the formula as we discussed above would become:
Part c) How much money will Natalie have after 2 years?
Using the formula
$₂ 
$
So, Natalie will have 
$ after 2 years.
Part d) How much money will Natalie have after 2 years?
Using the formula
$₁₀ 
$
So, Natalie will have 
$ after 10 years.
Keywords: word problem, interest
Learn more about compound interest from brainly.com/question/6869962
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Answer: 5a: 5/8
Step-by-step explanation: sorry, thats the only one i can read `:)
56.7 should be the right answer
