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3 years ago

What compound inequality describes this graph?

Mathematics

1 answer:

lina2011 [118]3 years ago

8 0

Answer:

-5<x>-2

Step-by-step explanation:

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A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out w

Brut [27]

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

$H(t) = H(0)(1+r)^t$

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that $H(0) = 4$

The tree grew continuously by 22% each year from that point.

This means that $r = 0.22$

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

$H(t) = H(0)(1+r)^t$

$H(t) = 4(1+0.22)^t$

$H(4) = 4(1.22)^t$

$H(4) = 4(1.22)^8 = 19.63$

The height of the tree in 2020 was of 19.63 feet.

6 0

3 years ago

4a - 5 = 11<br> Solve this please

d1i1m1o1n [39]

Answer:

a = 4

Step-by-step explanation:

Given equation:

4a - 5 = 11

Add 5 to both sides:

⇒ 4a - 5 + 5 = 11 + 5

⇒ 4a = 16

Divide both sides by 4:

⇒ 4a ÷ 4 = 16 ÷ 4

⇒ a = 4

7 0

2 years ago

Read 2 more answers

Solve x^2- 8x = 20 by completing the square. Which is the solution set of the equation?

yanalaym [24]

The solution is -2 and 10

5 0

3 years ago

A cube has a volume of 512 mm^3. If all sides of the cube are divided by 4, what will the resulting volume be?

pshichka [43]

$\bf \textit{volume of a cube}\\\\
V=s^3\qquad \boxed{s=\frac{s}{4}}\implies V=\left( \cfrac{s}{4} \right)^3\implies V=\cfrac{s^3}{4^3}\implies V=s^3\cdot \cfrac{1}{4^3}
\\\\\\
V=s^3\cdot \cfrac{1}{64}\impliedby \frac{1}{64}\textit{ of the original volume, if the original was 512}
\\\\\\
512\cdot \cfrac{1}{64}\implies \cfrac{512}{64}$

3 0

3 years ago

Solve for v.<br> 19v – 18 = 16 + 17v

GarryVolchara [31]

Answer:

v= 17

Step-by-step explanation:

Start with the given equation.

19v – 18 = 16 + 17v

Move -18 to the other side, and swap it's sign.

19v = 16 + 18 + 17v

Move 17v to the other side and swap it's sign.

19v - 17v = 16 + 18

Combine like terms.

2v = 34

Divide by 2v.

v = 17

8 0

3 years ago

Read 2 more answers