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Rom4ik [11]
2 years ago
14

If the simple interest on ​$6000 for 9 years is ​$​2160, then what is the interest​ rate?

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Step-by-step explanation:

<h2> l=P×R×T</h2><h3> 6000=2160×X/100×9</h3><h3> 6000÷194.4</h3><h2> =30.86%</h2>
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What is the equation of this graphed line?
Eva8 [605]

Answer:

  • y = -9/8x + 7

Step-by-step explanation:

<u>Slope-intercept form is:</u>

  • y = mx + b

<u>Points given:</u>

  • (0, 7) and (8, -2)

<u>y-intercept is </u>

  • b = 7 as per the first point

<u>And the slope is:</u>

  • m = (-2 - 7)/(8 - 0) = -9/8

<u>So the line is:</u>

  • y = -9/8x + 7
6 0
3 years ago
Read 2 more answers
Please answer quickly I will give brainliest- Kelsey has a list of possible functions. Pick one of the g(x) functions below and
Marizza181 [45]

Answer:

1. Behavior

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. y-intercept= -18

3. The zeros are: -3, -2 and 3

Step-by-step explanation:

1. End behavior:

To find this you have to know the leading coefficient of the variable with the highest degree, and whether the degree is even or odd.  

(x + 3) = x positive, coefficient 1

(x + 2) = x positive, coefficient 1

(x − 3)=  x positive, coefficient 1

The coefficient is 1*1*1= 1 = positive

There are 3 x, so it will be x^3= odd

The behavior for odd and positive will be:

g(x) is + ∞ when x=>+∞

g(x) is -∞ when x=>-∞

or

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. Y-intercept

The y-intercept is the value of y when the graph touches the y-axis. The y-axis is located at x=0, so to find the y-intercept you need to put x=0 on the graph function. Some graphs can have two y-intercepts but the graph on the question only has one. The calculation will be:

y-intercept = g(0)= (0+3)(0+2)(0-3)

y-intercept = 3*2*-3

y-intercept= -18

3. Zeros

The zeros mean the value of x that will result as g(x) as zero. At this coordinate, the graph will touch the x-axis since g(0) is located on the x-axis. That is why this coordinate also called an x-intercept. The function is expressed as the product of three things. If any of them is 0, then the result will be 0. So we have 3 zeros

x_{1}+3=0

x_{1}=-3

x_{2} +2=0

x_{2}=-2

x_{3}-3=0

x_{3}=3

The zeros are: -3, -2 and 3

8 0
3 years ago
The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) = 12$, then what are the $x$-intercepts o
Alex_Xolod [135]

Your calculator's cubic regression function can tell you the equation is

... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)

The x-intercepts are -4, 0, +1.5.

_____

If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as

... f(x) = ax³ + bx² + cx

Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.

... -a +b -c = 15 . . . . . for x=-1

... a + b + c = -5 . . . . for x=1

... 8a +4b +2c = 12 . . for x=2

adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to

... a + c = -10

... 4a +c = -4

Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).

Then your equation is

... f(x) = x(2x² +5x -12)

Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.

_____

Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have

... f(x) = 15 + (x+1)(-15 + (x)/2·(10 + (x-1)/3·(12))) = 2x³ +5x² -12x . . . . as above

4 0
3 years ago
In 45 years, Gabriel will be 4 times as old as she is right now <br> How old is she right now?
Brut [27]

Answer:

She is 11.25 years old.

Step-by-step explanation:

I just did 45 divided by 4.

3 0
3 years ago
How do i answer these? can somebody try to explain it ? maybe using a photo as well
Travka [436]

\large{\color{red}{\rightarrow{-\:0.2}}}

3 0
2 years ago
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