Answer:
The factor form is
Step-by-step explanation:
When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.
Now the expression that is given here is:
Now, here we will take:
Thus we will get:
Now we will do the middle term split as follows:
Substituting back , we will have:
Hence, the required factor form of the given expression will be:
The equation of a parabola that opens up and has the following x intercepts (-3,0) and (4,0) is
We have to find the equation of a parabola that opens up and has the following x intercepts (-3, 0) and (4, 0)
x-intercepts of the parabola are (−3, 0) and (4, 0)
So, we can form an equation:
Also x = 4
x – 4 = 0
x – 4 = 0 is another factor of quadratic equation.
The quadratic function is:
Hence, the equation of the parabola is
The simple interest is calculated only on the principal amount of a loan so it is relatively easier to calculate than the compound interest.
The compound interest is calculated on the principle amount plus the interest that the amount gets per compounding period up to the period of the loan. In other words, in compound interest we get, interest on interest.
This difference between the both, is the reason, we get more money in compound interest than simple one.
Let us take an example-
Suppose the principle is = $5000
r = 5% or 0.05
t = 5 years
Simple interest formula is :
=>
So, total amount after 5 years will become = dollars.
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Lets check for compound interest where the interest is compounded annually.
p = $5000
r = 5% or 0.05
t = 5 years
n = 1
Compound interest formula is :
=>
A = $6381.40
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We can see that we are getting more money in compound interest than the simple interest, for the same amount and same time period.