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1 year ago

8

The equation to model Exponential Growth is:

1 answer:

abruzzese [7]1 year ago

5 0

Your salary in x years is modeled an the exponential growth

The equation that determines your salary in x years is y = 45000(1.05)^x

<h3>How to model the salary growth?</h3>

The model of the exponential growth is given as:

y = a(1 + r)^x

From the question, we have:

Initial salary, a = 45000

Raise, r = 5%

So, the equation becomes

y = 45000(1 + 5%)^x

Evaluate the sum

y = 45000(1.05)^x

Hence, the equation that determines your salary in x years is y = 45000(1.05)^x

Read more about exponential functions at:

brainly.com/question/11464095

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Dovator [93]

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3 years ago

Write the equation in vertex form of the parabola with the vertex (-4,-4) that goes through the point (-2,-16)

Brrunno [24]

Answer:

$- 3(x + 4) {}^{2} - 4$

Step-by-step explanation:

Vertex form is

$a(x - h) {}^{2} + k = f(x)$

We know that h and k are both -4. Let x be -2 and y be -16.

$a( - 2 + 4) {}^{2} - 4 = - 16$

$a(2) {}^{2} - 4 = - 16$

$4a - 4 = - 16$

$4a = - 12$

$a = - 3$

So the equation in vertex form is

$- 3(x + 4) {}^{2} - 4$

5 0

2 years ago

Help please soon !!!!!!

stepan [7]

75.25x + 3604 = 300.50x
300.50x - 75.25x = 3604
225.25x = 3604
x = 16
Both companies charged the same at 16 tons
first answer 16 tons
--------------------
300.50x = 300.50(16) = $4,808
both companies charged the same are $4,808
second answer is $4,808

5 0

3 years ago

Help me out pleaseee

spayn [35]

Answer:

Option B is the correct choice.

Step-by-step explanation:

The graph is attached below.

We have to find the $x$ intercept meaning the value of the point on $x-axis$ when $y=0$

So we will put the value of zero $(0)$ instead of $y$ in our given equation.

So here we have solved it algebraically.

$y=\frac{3}{4}x-3$

Putting $y=0$

$0=\frac{3}{4}x-3$

$0=\frac{3x-12}{4}$

Multiplying $4$ both sides.

$0=3x-12$

Adding $12$ both sides.

$12=3x$

Dividing with $3$ both sides.

$x=\frac{12}{3}=4$

So the x-intercept of the given equation is $4$ which can be written as $(4,0)$ in terms of coordinates.

Option B $(4,0)$ is the correct choice.

8 0

3 years ago

HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

aleksandrvk [35]

50km to 80km is 30km

10c to -80c is -90c

and since it linear (Which means the change is constant or the same)

every 10 km show a -30c decrease

so

60 km is -20c

70km is -50c

answer is c

5 0

3 years ago