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1 year ago

Please Help!!!Use division to determine if the binomial is a factor. Show all work (x^3+7x^2+16x+12) ; (x+2)

Mathematics

1 answer:

irga5000 [103]1 year ago

5 0

Clearly, we can see that x+2 is a factor of the given polynomial.

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Last year, Keiko had $20,000 to invest. She invested some of it in an account that paid %7 simple interest per year, and she inv

erma4kov [3.2K]

Answer:

$P_2 = \$6,000\\P_1 = \$14,000$

Step-by-step explanation:

The formula of simple interest is:

$I = P_0rt$

Where I is the interest earned after t years

r is the interest rate

$P_0$ is the initial amount

We know that the investment was $20,000 in two accounts

_______________________________________________

For the first account r = 0.07 per year.

Then the formula is:

$I_1 = P_1r_1t$

Where

$P_1$ is the initial amount in account 1 at a rate $r_1$ during t = 1 year

$I_1 = P_1(0.07)(1)\\\\I_1 = 0.07P_1$

For the second account r = 0.05 per year.

Then the formula is:

$I_2 = P_2r_2t$

Where

$P_2$ is the initial amount in account 2 at a rate $r_2$ during t = 1 year

Then

$I_2 = P_2(0.05)(1)\\\\I_2 = 0.05P_2$

We know that the final profit was I $1,280.

$I = I_1 + I_2=1,280$

Substituting the values $I_1$ , $I_2$ and I we have:

$1,280 = 0.07P_1 + 0.05P_2$

As the total amount that was invested was $20,000 then

$P_0 = P_1 + P_2 = 20,000$

Then we multiply the second equation by -0.07 and add it to the first equation:

$0.07P_1 + 0.05P_2 = 1.280\\.\ \ \ \ \ \ \ \ +\\-0.07P_1 -0.07P_2 = -1400\\-------------$

$-0.02P_2 = -120\\\\P_2 = 6,000$

Then $P_1 = 14,000$

4 0

3 years ago

Mia's cat weighs 17.2 pounds. Her dog weighs 3.1 times as much as her cat. How much does Mia's dog weigh?

Juli2301 [7.4K]

17.2 • 3.1
= 53.32

hope this helped :p

7 0

4 years ago

One painter can finish a certain job 5 hours before another painter who is doing the same job. When they work together they can

Whitepunk [10]

Answer:

A (painter 1) = 10 hours

B (painter 2) = 15 hours

Step-by-step explanation:

5 0

3 years ago

What is the answer please tell me

sineoko [7]

Answer:

45 cm²

Step-by-step explanation:

Area of polygon = Area of square + (area of triangle)

= (side * side) + (1 / 2 * bh)

= 5*5 + (1 / 2 * 5 * 8)

= 25 + (20)

= 25 + 20

= 45 cm²

8 0

3 years ago

What are the solutions of 3x2 + 6x + 6 = 0 –2 ± i –2 ± 2i –1 ± i 1 ± i

velikii [3]

C) Quick way:

3x^2+6x+6=0 ---> x^2+2x+2=0,

sum of solutions is the 'x' coefficient multiplied by -1: (-1+i)+(-1-i)=-2-->2
Product is the independent term: (-1+i)(=1+i) = (-1)^2-i^2 = 1+1=2

Takes longer to write it down!

4 0

4 years ago