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3 years ago

Easy question - giving brainly if work is shown!!!

Mathematics

1 answer:

damaskus [11]3 years ago

4 0

2 possible answers: 130 or 132

answer 1: 10%of 100 is 10, 20% of 100 is 20 100+10+20=130

answer 2: 10% of 100 is 10 100+10= 110

20%of 110 is 22 110+22=132

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Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use

QveST [7]

$\bf 27\implies 3^3\\\\
i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies -1\cdot i\implies -i\\\\
-----------------------------\\\\
x^3-27i=0\implies x^3+3^3(-i)=0\implies x^3+(3^3i^3)=0
\\\\\\
x^3+(3i)^3=0\\\\
-----------------------------\\\\
\textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3\\\\
-----------------------------\\\\$

$\bf (x+3i)[x^2-3ix+(3i)^2]=0\implies 
\begin{cases}
x+3i=0\implies \boxed{x=-3i}\\\\
x^2-3ix+(3i)^2=0
\end{cases}
\\\\\\
\textit{now, for the second one, we'd need the quadratic formula}
\\\\\\
x^2-3ix+(3i)^2=0\implies x^2-3ix+(3^2i^2)=0
$

$\bf x^2-3ix+(-9)=0\implies x^2-3ix-9=0
\\\\\\
\textit{quadratic formula}\\\\
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}\implies x=\cfrac{3i\pm\sqrt{(-3i)^2-4(1)(-9)}}{2(1)}
\\\\\\
x=\cfrac{3i\pm\sqrt{(-3)^2i^2+36}}{2}\implies x=\cfrac{3i\pm\sqrt{-9+36}}{2}
\\\\\\
x=\cfrac{3i\pm\sqrt{27}}{2}\implies \boxed{x=\cfrac{3i\pm 3\sqrt{3}}{2}}$

7 0

3 years ago

Can someone explain this to me or help me get the answer? it is about centroids in triangles.

nadezda [96]

Answer: A centroid of a triangle is the point where the three medians of the triangle meet that is what i got on my test hope this helps :)

7 0

4 years ago

Plot the data for the functions ƒ(x) and g(x) on a grid. x -2 -1 0 1 2 ƒ(x) 1 4 16 x -1 0 1 2 3 g(x) 3 4 5 6 7 b. Identify each

lions [1.4K]

Part A:

The plot for the function f(x) and g(x) is attached. The purple curve represents f(x) and the black line represents g(x).

Part B:

The graph of f(x) shows that f(x) is an exponential function.
The graph of g(x) shows that g(x) is a linear function.

Part C:

As x increases from left to right, the function f(x) increases very rapidly.
As x increases from left to right, the function f(x) increases at a constant rate.

Part D:

From the graph it can be seen than the valus of x for which the values of the function are equal are: x = -4 and x = 1.19.

3 0

3 years ago

Solve the system of equations by first multiplying 2x + y = 1 3x + 3y = 15 Write the solution as an ordered pair:_____

jasenka [17]

Multiply the equation 2x + y = 1 by 3 to obtain same coefficients of y.

$\begin{gathered} (2x+y=1)\times3 \\ 3\cdot2x+3\cdot y=3\cdot1 \\ 6x+3y=3 \end{gathered}$

Substract the equation 3x + 3y = 15 from 6x + 3y = 3 to eliminate the terms of y.

$\begin{gathered} 6x+3y-(3x+3y)=3-15 \\ 3x=-12 \\ x=-\frac{12}{3} \\ =-4 \end{gathered}$

Substitute -4 for x in the equation 2x + y = 1 to obtain the value of y.

$\begin{gathered} 2\cdot(-4)+y=1 \\ -8+y=1 \\ y=1+8 \\ =9 \end{gathered}$

So solution of equations is (-4,9).

8 0

2 years ago

How much must be invested today in order to generste

Marysya12 [62]

Answer:

$147,796.80

Step-by-step explanation:

In this question, we have to find out the present value which is shown below:

The computation of the present value is shown below:

= Annual payment × PVIFA for 5 years at 12%

= $41,000 × 3.6048

= $147,796.80

Refer to the PVIFA table

We simply multiply the annual payment with the PVIFA in order to get the exact amount.

The present value comes after taking into account the discount rate for the amount of periods given in the question

3 0

3 years ago