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2 years ago

¿Cuál es la raíz cuadrada de 49?

1 answer:

5 0

La raíz cuadrada de 49 es 7. Una raíz cuadrada es cuando puedes tomar un número y multiplicarlo por sí mismo para obtener un número entero. Por ejemplo, 3x3 = 9 4x4 = 16 5x5 = 25 6x6 = 36 7x7 = 49 y así sucesivamente!

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An amount of 25,000 is borrow for 15 years at 5.5% interest, compounded annually. If the loan is paid in full at the end of that

Airida [17]

Answer: $55,811.91$

Step-by-step explanation:

Given

Principal amount is 25,000

Time Period is $t=15\ yr$

Rate of interest $r=5.5\%$

Amount in compound interest is given by

$\Rightarrow A=P\left(1+r\%\right)^t$

Insert the values

$\Rightarrow A=25,000(1+\dfrac{5.5}{100})^{15}\\\\\Rightarrow A=25,000(1.055)^{15}\\\Rightarrow A=55,811.91$

Therefore, $55,811.91$ must be paid back

7 0

2 years ago

Use these functions to answer the questions.

Elenna [48]

Part A
We have $f\left(x\right)=\left(x+3\right)^2-1$ . To solve for the x-intercept, we set f(x) equal to 0. That is
$\left(x+3\right)^2-1=0$

$\left(x+3\right)^2=1$

Take the square root of both sides,
$x+3=1$

$x=-2$

The x-intercept is (-2,0).

To solve for the y-intercept, we set x=0. That is
$y=\left(0+3\right)^2-1=3^2-1=9-1=8$

The y-intercept is (0, 8)

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have $g\left(x\right)=-2x^2+8x+3$ .
Factor out -2
$=-2\left(x^2-4x\right)+3$

Complete the square
$=-2\left(x^2-4x+4\right)+3-2\left(4\right)$

Simplify
$g(x)=-2\left(x-2\right)^2-5$

Part C
We have $h\left(t\right)=-16t^2+28t$ .
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.

4 0

3 years ago

A spieces of extremely rare, deep water fish are slowly becoming extinct. If there are a total of 821 of this type of fish and t

Step2247 [10]

Answer:

12 months in a year

6 is half a month so we're going off of 6 months.

So:

821*0.15= 123.15

821- 123.15= 697.85

697.85*0.15= 104.6775

697.85-104.6775= 593.1725

593.1725*0.15= 88.975875

593.1725-88.975875= 504.196625

504.196625 *0.15= 75.62949375

504.196625- 75.62949375= 428.56713125

428.56713125*0.15= 64.2850696875

428.56713125-64.2850696875 = 364.282061562

364.282061562*0.15= 54.6423092344

364.282061562-54.6423092344 = 309.639752328

So its 310 fish.

6 0

2 years ago

The perimeter of a square is equal to four times the length of a side. Write the direct v variation equation that represents the

sveticcg [70]

Answer: $y=4x$

Step-by-step explanation:

A direct variation equation has the form:

$y=kx$

Where <em>k</em> is a constant.

By definition, we know that the perimeter of the square is the sum of the lengths of its sides or, as all the sides are equal, you can multiply the lenght of any side by 4.

Then, knowing that <em>y</em> is the dependent value and <em>x</em> the independent value and the constant <em>k=4, </em> you can write the following direct variation equation that represents the situation.

$y=4x$

4 0

3 years ago

The length of the box is x

Romashka [77]

A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x

<h3>How to calculate the volume of a box</h3>

Length of box = x
Width of the box is 4 inches less than the length. Thus; width = x - 4
Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5

Now, the formula for volume of a box is;

V = length × width × height

Thus;

V = x • (x - 1) • (x - 5)

V = x(x² - x - 5x + 5)

V = x(x² - 6x + 5)

V(x) = x³ - 6x² + 5x

In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x

Read more on volume of a box at; brainly.com/question/15532376

3 0

2 years ago