What is 9 divided by 15. Steps please to help me understand
2 answers:
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The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.
- The interest earned after one year is <u>0.018·x</u>
Reasons:
The amount Paul has to invest = $900
The annual interest rate from the savings account = 1.8%
The amount the money market account pays per year = 4.2 %
Required: The polynomial for the interest Paul earned by investing <em>x</em> dollars in the savings account.
Solution:
The interest earned is found using the compound interest formula as follows;
Where;
A = The amount in the account after one year
P = The original amount invested = x
r = The interest rate offered on the investment = 1.8% = 0.018
t = The time of the investment = 1 year
n = The number of times of application of the interest per period = Once per year
Which gives;
Interest = Amount earned = A - P
Therefore;
Plugging in the values gives;
The polynomial equation is therefore;
Interest, I = 0.018·x
Using the simple interest formula, we have;
Which gives;
Interest earned by investing in the savings account for one year, I = 0.018·x
- The polynomial representing the interest earned is <u><em>I</em></u><u> = 0.018·x</u>
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Answer:
You would be correct the GCF is .
Step by Step Explanation:
So the GCF is basically a value that can go into or be factored out of two or more other numbers.
For instance, the greatest common factor of 10 and 20 is 10, since 10 is the greatest number that goes into 10 and 20 resulting in a integer.
Its a bit different with variables and exponents.
For instance, normally a number needs to be able to be divided nicely by the GCF. In exponents, the lowest exponent is the one you use.
If you had x^4 x^6 x^8, the GCF is x^4. It doesnt need to divide each exponent, but needs to be able to be subtracted by it,
You can think of it like how division and multiplication works with exponents.
With variables, it is similar to normal numbers.
The coefficent of the GCF must go into the coefifcent of the variables.
The variables also have to be the same, for instance x can never have a GCF of y.
So remembering this, lets find the GCF of your problem
We see the expoent of the first number is 7. The exponent of the other is 5.
Because we look at the lowest exponent as the GCF, the exponent 5 would be the GCF of the two values.
Then looking at the 8x and 24x, we know that 8x must be the GCF, since 8 equally divides between the 8 and 24, and they both have a x.
So combining the 5 exponent and the 8x:
So this is your answer.