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nika2105 [10]
4 years ago
11

Write your question here

Mathematics
1 answer:
kobusy [5.1K]4 years ago
4 0

Answer:

f(x) = x³ + 10x² + 27x + 18

Step-by-step explanation:

Given the zeros x = - 3, x = - 6 and x = - 1

Then the factors are (x + 3), (x + 6), (x + 1)

and the polynomial is the product of the factors, that is

f(x) = (x + 3)(x + 6)(x + 1) ← expand the first 2 factors using FOIL

     = (x² + 9x + 18)(x + 1) ← distribute

     = x³ + 9x² + 18x + x² + 9x + 18 ← collect like terms

     = x³ + 10x² + 27x + 18

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Investment: Suppose you receive a gift of $1,000 and decide to open a CD (certificate of
Nina [5.8K]

Answer: 4 years after the original investment, it is approximately $1,093.

Step-by-step explanation:

Hi, to answer this question we have to apply the simple interest formula:  

I = p x r x t

Where:  

I = interest

P = Principal Amount  

r = Interest Rate (decimal form)  

t= years

Replacing with the values given  

I = 1000x (2.25/100) x t

  • It will triple in approximately 3 years. FALSE

I = 1000x (2.25/100) x 3 =67.5

1000+67.5 = 1067.5

  • It will no longer grow after several years: False, it will grow because it has a growth rate.

  • 4 years after the original investment, it is approximately $1,093. TRUE

I = 1000x (2.25/100) x 4 =90

1000+90 = $1090

  • It will double in approximately 10 years.

I = 1000x (2.25/100) x 10 =225

1000+90 = $1225

Feel free to ask for more if needed or if you did not understand something.

4 0
4 years ago
1/2 x 1/2 x 1/2 x 1/2
Rina8888 [55]

Answer:

1 /16

Step-by-step explanation:

6 0
3 years ago
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What is the ones digit when you do 9 to the power of 999?
prohojiy [21]

Answer:

1

Step-by-step explanation:

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Step-by-step explanation:

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5 0
3 years ago
Mr. Doyle mowed 2\5ths of his lawn. His son mowed 1\3rd of it. Who mowed most of the lawn? How much of the lawn still needs to b
kondor19780726 [428]

Answer:

Step-by-step explanation:

Dad:  2/5

Son:  1/3

<u>Who mowed most of the lawn? </u> Dad, of course.  2/5 is larger than 1/3.  2/5 is 40% and 1/3 is 33.333%

<u>How much of the lawn still needs to be mowed?  </u>

 2/5 + 1/3 + X = 1  [1 means the whole lawn.  X is the remaining portion.]

6/15 + 5/15 + X = 1   [Convert each fraction so that they have a com,mon denominator.  This also shows that 2/5 (6/15) is larger than 1/3 (5/15).

11/15 + X = 1

X = 1 - 11/15

X = 4/15 left to be mowed.

<u>How much does Mr. Doyle have left to mow?</u>

We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.

4/15 left to be mowed.

Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard

Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard

3 0
3 years ago
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