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MArishka [77]
3 years ago
14

Just answer this question if you want and if you answer it please answer it correctly ok please

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

the colored histogram is D

the blue histogram is also D

there are 23 students in ms. Cruz class

Step-by-step explanation:

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If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?Enter the followin
svlad2 [7]

Answer:

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P.

If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?

We have that P = 1000, I = 0.07

We want to find t when E = 1000, so T = P + E = 2000.

E = P*I*t

1000 = 1000*0.07*t

t = \frac{1}{0.07}

t = 14.29

It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

8 0
3 years ago
Determine the area of a triangle with A=27.8 B = 107.3 c=4<br><br><br> Answer: B) 10 units^2
Mila [183]

Correct question:

Determine the area of a triangle with A=27.8° B = 107.3° c=4

Answer:

Area of the triangle is 5.04 units²

Step-by-step explanation:

Given;

A = 27.8°

B = 107.3°

C = 180 - (27.8 + 107.3) = 44.9°

c = 4

Now, we determine the remaining two sides of the triangle using sine rule

\frac{Sine \ A}{a} = \frac{Sine \ C}{c} \\\\a =  \frac{Sine A*\ c}{Sine C} = \frac{Sine(27.8) \ *4}{Sine(44.9) } =2.64\\\\\frac{Sine \ B}{b} = \frac{Sine \ C}{c}\\\\b=  \frac{Sine B*\ c}{Sine C} = \frac{Sine(107.3) \ *4}{Sine(44.9) } =5.41

Apply Hero's formula;

A = \sqrt{s(s-a)(s-b)(s-c)} \\\\s = \frac{a+b+c}{2} = \frac{2.64\ +\ 5.41\ +\ 4}{2} = 6.025\\\\A = \sqrt{6.025(6.025-2.64)(6.025-5.41)(6.025-4)} \\\\A = \sqrt{6.025(3.385)(0.615)(2.025)} \\\\A = \sqrt{25.3989} = 5.04 \ units^2

Therefore, area of the triangle is 5.04 units²

5 0
4 years ago
84 **ABCDEFGHIJKLMNOPQRSTUVWXYZ**<br> NAD = 7, ADD = 12, BADS = 30.<br> What is the value of OJJAM?
notsponge [240]

Answer:

i don't know you find it

Step-by-step explanation:

3 0
3 years ago
Item 5
sveticcg [70]

Answer:

$94.50

Step-by-step explanation:

6 0
3 years ago
Identify the standard form of the equation by completing the square.
OLEGan [10]

Answer:

\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Step-by-step explanation:

<u>Given equation</u>:

4x^2-9y^2-8x+36y-68=0

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

\implies 4x^2-8x-9y^2+36y=68

Factor out the coefficient of the x² term and the y² term.

\implies 4(x^2-2x)-9(y^2-4y)=68

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2

\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36

Factor the two perfect trinomials on the left side:

\implies 4(x-1)^2-9(y-2)^2=36

Divide both sides by the number of the right side so the right side equals 1:

\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}

Simplify:

\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Therefore, this is the standard equation for a horizontal hyperbola with:

  • center = (1, 2)
  • vertices = (-2, 2) and (4, 2)
  • co-vertices = (1, 0) and (1, 4)
  • \textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}
  • \textsf{Foci}: \quad  (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)

4 0
2 years ago
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