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skelet666 [1.2K]
3 years ago
5

A park started with 12 oak trees, and the number of oak trees increased at a rate of 25% each year. Write the function that mode

ls the situation, substituting numerical values for A and r into the expression.
Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

The function which models the situation is as The number of oak trees increase after n year = 12 ×  (1+\frac{25}{100})^{n}

Step-by-step explanation:

Given as :

The number of oak trees planted in park = 12

The rate at which number of tree increase each year= 25%

Now,

The number of oak trees increase after n year = Present numbers of tree × (1+\frac{Rate}{100})^{n}

Or,

The number of oak trees increase after n year = 12 × (1+\frac{25}{100})^{n}

Hence The function which models the situation is as The number of oak trees increase after n year = 12 × (1+\frac{25}{100})^{n}  Answer

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Which is the Area of a circle with a diameter of 7 units?
saul85 [17]
Area of a circle = (3.14) * r^2
d = 7
r = 3.5

a = (3.14) * 3.5^2
a = (3.14) * 12.25
a = 38.47
7 0
3 years ago
Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P’. Which rule d
saw5 [17]

The rule used to describe this transformation is (x, y)→(x - 4, y + 5)

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> rotation, reflection, translation and dilation.</em>

If a point A(x, y) is translated a units left and b units up. the new point is at A'(x - a, y + b)

Given Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P’. The rule is given by:

(x, y)→(x - 4, y + 5)

The rule used to describe this transformation is (x, y)→(x - 4, y + 5)

Find out more on Transformation at: brainly.com/question/1462871

3 0
2 years ago
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
kupik [55]

Answer:

(a) 0.873 (b) 0.007 (c) 0.715 (d) 0.277 (e) 1.25 and 1.09

Step-by-step explanation:

The probability that the random variable X takes the value x is given by P(X=x) = 25Cx 0.05^x0.95^{25-x}. Then,

(a) P(X\leq) = (25C0)(0.05^0)(0.95^{25}) + (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23})=  0.873

(b) P(X\geq5) = 1-P(X\leq4) = 1 - (0.873 + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21})) = 1 - (0.873 + 0.12) = 0.007

(c) P(1\leqX\leq4) = (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23}) + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21}) = 0.715

(d) P(X=0) = (25C0)(0.05^0)(0.95^{25}) = 0.277  

(e) E(X) = np = (25)(0.05) = 1.25 and Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09

8 0
3 years ago
Suppose you buy a phone for $200 and its value depreciates linearly. If the phone is worth $115 after four years, then what is t
vredina [299]

Answer:

$72.5

Step-by-step explanation:

  • Initial value = $200
  • Depreciated value after 4 years = $115

<u>Since depreciation rate is linear, then:</u>

  • 200 - 4x = 115
  • 4x = 200 - 115
  • 4x = 85
  • x = 85/4
  • x = 21.25

<u>Value after 6 years:</u>

  • 200 - 6*21.25 = 200 - 127.5 = $72.5
3 0
3 years ago
I NEED HELP! PLEASE HELP!
Amanda [17]

Answer:

2400 mm

Step-by-step explanation:

(80 x 60) - (60 x 40)

7 0
3 years ago
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