The expression 15w+65 factored using the GCF is what?
2 answers:
Keywords:
<em>Expression, variable, factor, GCF, factor </em>
For this case we have an expression with a variable, in which we must factor the expression using the greatest common factor. By definition we have that the GFC of two numbers is the largest number that is a factor of both numbers.
Having said that we have the following expression:
So the greatest common factor between 15 and 65 is 5. So:
Answer:
The greatest common factor of the expression is 5, then:
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Answer:
Part A)
About $3767.34.
Part B)
About $3692.47.
Step-by-step explanation:
Part A)
Recall that compound interest is given by the formula:
Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.
To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.
Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.
Substitute and solve for <em>P: </em>
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In concluion, about $3767.34 should be deposited.
Part B)
Recall the formula for continuous compound:
Where <em>e</em> is Euler's number.
Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>
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In conclusion, about $3692.47 should be deposited.