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3 years ago

Help please 10 points

Mathematics

1 answer:

irga5000 [103]3 years ago

6 0

Answer: it's the third one and the first one

Step-by-step explanation:

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The graphs shows the relationship between the number of bags of wild rice in a restaurant and the total number of pounds of wild

irinina [24]

Answer:

Step-by-step explanation:is the divide by 7×10=70is

6 0

3 years ago

How can you decompose the composite figure to determine its area?

Anna007 [38]

For this case the first thing you should do is observe that the diameter of the four semicircles is the same.

Therefore, we can decompose the figure as follows:

1) We draw the diameters of the four semicircles to form a square.

2) We divide the figure into a square and four semicircles

3) The total area is the sum of the area of the square, plus the area of the 4 semicircles.

Answer:

c)as a square and four semicircles

5 0

3 years ago

Read 2 more answers

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

How to put -3x(4-6x) in distributive property

Rashid [163]

Answer:

-12x+18x²

Step-by-step explanation:

Given: $-3x(4-6x)$

Distributive property of multiplication under which a number is multiplied by the sum of two number, the first number can be distributed to both of those number.

∴ $-3x(4-6x)$

solving it by using distributive property

= $(-3x\times 4)-(-3x\times 6x)$

= $-(12x) + 18x^{2}$

Opening parenthesis

= $-12x+18x^{2}$

Hence, -12x+18 $x^{2}$ is the result after using distributive property.

3 0

3 years ago

Write an equation to represent the number puzzle. Use x as the

k0ka [10]

<h3>The equation is:</h3><h3> $x^2 - 7x + 12 = 0$ </h3><h3>The number is 3 or 4</h3><h3><em><u>Solution:</u></em></h3>

Given that,

7 added to the square of a number is equal to 7 times the number, minus 5

Let "x" be the unknown number

From given,

7 added to square of x = 7 times the x minus, 5

$7 + x^2 = 7x - 5$

Solve the above equation

$x^2 -7x +7+5 = 0\\\\x^2 - 7x + 12 = 0$

Split the middle term

$x^2 -3x - 4x + 12 = 0\\\\Group\ the\ expressions\\\\(x^2-3x) -(4x - 12) = 0\\\\Take\ the\ common\ factor\ out\\\\x(x -3) -4(x -3) = 0\\\\(x-3)(x-4) = 0$

We have two solutions

x - 3 = 0

x = 3

And

x - 4 = 0

x = 4

Thus number is 3 or 4

7 0

3 years ago