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NNADVOKAT [17]
3 years ago
14

The height of a tree increases by 60% each year. When planted the tree was 40cm tall. How tall will the tree be in 5 years time.

Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

≈419.4 cm.

Step-by-step explanation:

To solve this problem, you will need to set up an exponential graph as shown:

y= 40 ·(1.6)^{x}

The 40 represents the initial height of the tree, while (1.6) represents the annual growth rate. 'x' represents the amount of years elapsed.

We can simply solve this by substituting 5 for x:

y= 40· (1.6)^{5}

y ≈ 419.4 cm.

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What percent of 63 is 157.5?
Nikitich [7]

Answer:

250%

Step-by-step explanation:

\sf63 \times  x\% = 157.5

\sf  \frac{x}{100}  =  \frac{157.5}{63}

\sf  x =  \frac{15750}{63}

\sf  x = 250

8 0
3 years ago
In physics the mass energy equivalence is that the mass of a body is measured by its energy content. This may be written algebra
skelet666 [1.2K]
Mass=energy/the speed of light in a vacuum
6 0
4 years ago
171 +727 round it or compatible numbers to estimate the sum
djyliett [7]
171 is rounded to 200 as it is closest to 200 than 100
and 727 is rounded to 700 as it is closest to 700 than 800
when we add 200 and 700 we get the answer 900
The sum of 171 and 727 is:
171 + 727 = 898
and 898 is rounded to 900 as it is closest to 900 than 800.

8 0
4 years ago
What is the slope of a line parallel to the line with equation 2x+4y=8
bagirrra123 [75]

Answer:

m = \frac{-1}{2}

Step-by-step explanation:

To find the slope of most lines, we should rearrange the equation into the slope-intercept form or y = mx + b.

So,

2x + 4y = 8

4y = -2x + 8

y=\frac{-2x +8}{4}

y=\frac{-2}{4}x+\frac{8}{4}

y=\frac{-1}{2}x+2

The slope is the coefficient of the x term, so

m = \frac{-1}{2}

8 0
3 years ago
Read 2 more answers
The motion of a ship riding at anchor can be modeled by y=25-4 cos (pi/6)t, where y is the water depth in feet and t is the time
balandron [24]

Answer: 29 feet (deepest) at 6 am

              21 feet (shallowest) at Midnight & Noon

<u>Step-by-step explanation:</u>

y = -4 cos (π/6)t +25

Amplitude (A) = 4    

-A means it is a reflection over the x-axis (starts at minimum)<em> </em>

Period = 2π/B   →  Period = 12

Phase shift = C/B   →  Phase Shift = 0

Midline (D) = 25

Midline (D) ± Amplitude (A) = Max & Min

Max: 25 + 4 = 29

Min: 25 - 4 = 21

Change the coordinates of y = cos (x) as follows:

  • x-value: Add C then divide by B
  • y-value: Multiply by A then add D

Note that the equation shows: A = -4, B = π/6, C = 0, D = 25

\begin{array}{c|ccc|cl}\underline{\quad x\quad}&\underline{\quad y\quad}&&\underline{\quad (x+C)/B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&21&minimum\\\pi&0&&3&25&midline\\\pi &-1&&6&29&maximum\\3\pi/2&0&&9&25&midline\\2\pi&1&&12&21&minimum\\\end{array}

5 0
4 years ago
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