What type of number can be written as a fraction a over b, where a and b are integers and b is not equal to zero?
2 answers:
Answer:
This is the definition of rational number.
These include: Integers, Terminating Decimals, Repeating Decimals, or Proper, Improper, and Mixed Fractions where each part is an integer.
Step-by-step explanation:
This is the definition of rational number.
Here are some examples of rational number:
-3 (negative integers are included because they can be rewritten; here -3=-3/1)
5 (positive integers are included because they can be rewritten; here 5=5/1)
0 (neutral integers are included also because 0/4 or 0/1 are still 0)
5/3 (impropert fractions where top and bottom are integers; this is already written in the form required)
1 2/3 (mixed fractions because they can rewritten as improper fractions with top and bottom as integers; example here this 5/3)
2/5 (proper fractions where top and bottom are integers; this is already written in the form required)
.55555555555...= (repeating decimals; example this one can be written as 5/9)
.23 (terminating decimals; example this can be written as 23/100 )
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Given:
Desmond deposits $ 50 monthly.
Yearly he deposits = $50×12 = $ 600
Rate of interest compounded monthly = 4.7%
To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.
Formula
where,
A be the final amount
P be the principal
r be the rate of interest
t be the time and
n be the number of times the interest is compounded.
Now,
Taking,
P = 600, r = 4.7, n = 12, t = 10 we get,
or,
or,
Now,
At starting he has $ 600
At the end of 10 years he will be having $ 959.1
So,
The amount of change in his account = $ (959.1-600) = $ 359.1
Therefore the rate of change =
= 59.85%
Hence,
a) His account will contain $ 959.1 after 10 years.
b) The rate of change in his account is 59.85% after 10 years.