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vodka [1.7K]
2 years ago
5

the popularion of a city increases by 7% every year. if its population today is 300,000, what will its population be in 4 years.

Write as an expression.
Mathematics
1 answer:
Likurg_2 [28]2 years ago
8 0

Answer:

Expression : 300,000 + 7x% = a

a = 384,000

Step-by-step explanation:

a = population in 4 years

x = every year increased

Expression: 300,000 + 7x% = a

300,000 + 7x% = a

replace x what will its population be in x years variable (this is 4)

300,000 + 7(4)% = a

multiply 7(4)

300,000 + 28% = a

Add 28% of 300,000 to 300,000

384,000 = a

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Find the equation for the parabola that passes through the point (-2,-4), with vertex at (3,1) and a vertical axis
Igoryamba

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1), hence

y = a(x - 3)² + 1

To find a substitute (- 2, - 4) into the equation

- 4 = a(- 2 - 3)² + 1

- 4 = 25a + 1 ( subtract 1 from both sides )

25a = - 5 ( divide both sides by 25 )

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y = - \frac{1}{5} (x - 3)² + 1 ← in vertex form

7 0
4 years ago
Natalia bought 4 boxes of pencils and 9 reams of paper for 75$. Ronnie by eight boxes of pencils and five reams of paper for 67.
storchak [24]

Answer:a box of pencil cost=$4.395

And a ream of paper cost=$6.38

Step-by-step explanation:

Let the cost of box of pencil be represented as p

And the cost of ream of paper be represented as r

Such that

4 boxes of pencils and 9 reams of paper costing 75$ be represented as

4p+9r=75-----equation 1

Also, eight boxes of pencils and five reams of paper for 67 be represented as

8p + 5r=67------equation 2

Solving

4p+9r=75-----equation 1

8p + 5r=67------equation 2

By elimination method, multiply equation 1 by 2 and equation 2 by 1

8p +18r=150---equation 3

8p+5r=67----equation 4

Subtracting equation 4 from equation 3

13r=83

r=83/13

r=6.38

Putting the value of r=6.38 in equation 1 to solve for p, we have

4p+9r=75

4p+9(6.38)=75

4p+57.42= 75

4p=75-57.42

4p=17.58

p=17.58/4

p=4.395.

Therefore a box of pencil cost=$4.395

And a ream of paper cost=$6.38

8 0
3 years ago
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