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fenix001 [56]
3 years ago
9

. Find the sum of the following polynomials.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer ad Step-by-step explanation:

<em><u>1. Adding 10mn and -15mn.</u></em>

10mn + -15mn = <u>-5mn</u>.

<em><u>2. Adding </u></em>-7a^{2}<em><u> and </u></em>-8a^{2}<em><u>.</u></em>

-7a^{2} + -8a^{2}  = -15a^{2}.

<em><u>3. Adding 6(x + 3) and -7(x + 3).</u></em>

<u />

6x + 18 + -7x - 21

<u>x - 3.</u>

4. Adding ?

<em><u>5. Adding 0.5xyz and 1.5 xyz.</u></em>

0.5xyz + 1.5xyz = <u>2xyz.</u>

<u></u>

<u></u>

<u></u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
pychu [463]

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:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

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>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

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>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

8 0
2 years ago
HELP ME WITH THIS EQUATION! 11 = y – 6 *
Blizzard [7]

Answer:

Step-by-step explanation:

here you go mate'

step 1

11 = y-6  equation

step 2

11+6=y-6+6  add 6 to the sides

answer

y=17

can i get brainliest if you dont mind?

8 0
3 years ago
Read 2 more answers
The measurement of the side of a RV is 469 inches the actual length is 480 inches what is the percent error
Ksivusya [100]

Answer:

Step-by-step explanation:

error in measurement  = 480 - 469 = 11 inches

Percent error = error *100/actual length

= 11 * 100 /480 = 2.9%

6 0
3 years ago
Evaluate 1/6 + 2/3 PLEASEEEEEE HELP
mart [117]

2/3 = 4/6.

1/6 + 4/6 = 5/6.

The answer is 5/6.

7 0
3 years ago
Read 2 more answers
We want to find the zeros of this polynomial:
fredd [130]

Answer:

x = -3 and x = -3/2

Step-by-step explanation:

After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:

p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>

p(x) = x^2(2x+3) <u>-9(2x+3)</u>

Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:

p(x) = (x^2 - 9)(2x+3)

Factor it once more because there's a difference of squares:

p(x) = (x+3)(x-3)(2x+3)

Now just plug in whatever makes the each bracket equal 0:

x = -3, x = 3, and x = -3/2

Those are your zeros.

8 0
3 years ago
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