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kati45 [8]
2 years ago
13

A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after

10 years?
a.) 74.3 feet
b.) 120 feet
c.) 144 feet
d.) 146.3 feet
Mathematics
1 answer:
Lelu [443]2 years ago
6 0

Answer:

Option A; 74.3 feet

Step-by-step explanation:

~ Here we can see that this problem is set to be so that compound interest is applied ~

1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.

2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...

3. 20 percent is, in a decimal form, ⇒ 0.2

4. Now add 1 to this value 0.2, to get ⇒ 1.2

5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........

6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = <em>(About) 74.30083707.......</em>

7. If we were to round this value, it would be to ⇒ 74.3 feet, or in other words the first option; <em>Option A</em>

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Step-by-step explanation:

The swordfish swims at 68 miles per hour because 4•17=68

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6. The diagram on the right shows the cross-section of a cylindrical pipe with water lying in the bottom. a) If the maximum dept
riadik2000 [5.3K]

Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

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13.5 cm²

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Volume of water = cross-sectional area * length

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6 0
1 year ago
PLEASE HELP ME IT WOULD MEAN A LOT
arlik [135]

Answer:

12x³ - 3x

Step-by-step explanation:

<em>Given </em>

<em>f(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>x </em><em>and </em><em>g(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em>

<em>Now</em><em>, </em>

<em>3</em><em> </em><em>f(</em><em>x</em><em>)</em><em> </em><em>*</em><em> </em><em>g(</em><em>x</em><em>)</em><em> </em>

<em>=</em><em> </em><em>3</em><em> </em><em>*</em><em> </em><em>x </em><em>(</em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em>)</em>

<em>=</em><em> </em><em>3x </em><em>(</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em>

<em>=</em><em> </em><em>12x³</em><em> </em><em>-</em><em> </em><em>3x </em>

<em>Hope </em><em>it </em><em>will </em><em>help </em><em>:</em><em>)</em>

4 0
3 years ago
Reflect the point (-1,-4) in the y-axis followed by the x-axis. What point does it end at? What quadrant is it in? Answer in a c
coldgirl [10]
The top right quadrant
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3 years ago
If 6x+7°and 8x-17°are vertical angles, whats x
kolezko [41]
Since the two measures are vertical angles, you want to set them equal to each other :

6x+7=8x-17
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——————
7=2x-17
+17 +17
———————
24= 2x
X= 12
———

The answer is 12.
4 0
3 years ago
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