Option 2: is the correct answer
Step-by-step explanation:
Given fraction is:
In order to simplify, we can see that the function is already in compact form
So,
We can simplify the given fraction.
We can see that the numerator can be further simplified
Hence,
Option 2: is the correct answer
Keywords: Polynomials, expressions
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Answer:
288
Step-by-step explanation:
40% divide by 100 will equal 0.4
then multiply 0.4 by 720 which equals to 288
<em><u>The pattern for six factors of -3 is:</u></em>
(-3)(-3) = 9
(-3)(-3)(-3) = -27
(-3)(-3)(-3)(-3) = 81
(-3)(-3)(-3)(-3)(-3) = -243
(-3)(-3)(-3)(-3)(-3)(-3) = 729
<em><u>Solution:</u></em>
Given that we have to extend the pattern to six factors of -3
<em><u>Given pattern is:</u></em>
(-3)(-3) = 9
(-3)(-3)(-3) = -27
(-3)(-3)(-3)(-3) = 81
<u><em>Remember:</em></u>
When multiplying more than two positive and negative numbers, use the Even-Odd Rule: Count the number of negative signs — if you have an even number of negatives, the result is positive, but if you have an odd number of negatives, the result is negative.
Let us extend the pattern to five factors of -3 and then to six factors of -3
(-3)(-3)(-3)(-3)(-3)
Multiply them together to get result
(-3)(-3)(-3)(-3)(-3) = 9 x 9 x (-3) = 81 x (-3) = -243
Now find for six factors of -6
(-3)(-3)(-3)(-3)(-3)(-3) = 9 x 9 x 9 = 729
Thus pattern for six factors of -3 is:
(-3)(-3) = 9
(-3)(-3)(-3) = -27
(-3)(-3)(-3)(-3) = 81
(-3)(-3)(-3)(-3)(-3) = -243
(-3)(-3)(-3)(-3)(-3)(-3) = 729
Answer:
p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Answer:
<em>a. $42,572 at 2%, </em>
<em>b. $35,559 at 5% </em>
<em>c. $29,702 at 8% </em>
Step-by-step explanation:
The formula used for FV calculation for Continuous Compounding is as under:
Where,
FV = Future Value = $8000 each year (At the end of 6 years = $8000 x 6 = $48,000)
PV = Present Value
e = Mathematical Constant = 2.713
i = Interest Rate
t= time in years
a) For 2%:
b) For 5%:;
c) For 8%:
Note: <em>Investing $42,572 at 2%, $35,559 at 5% and $29,702 at 8% today will get $48,000 at the end of 6 years. </em>