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Natalija [7]
3 years ago
11

Which equation represents a population of 490 animals that increases at an annual rate of 20% ?

Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

The standard form of this exponential function is

y=a(b)^x where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

y=490(.2)^x

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Porter drove due east 20 miles on interstate 23 then due south on interstate 77 to the nearest hundredth of a mile how far was h
OverLord2011 [107]

Answer:

30.48 miles

Step-by-step explanation:

This can be represented as a right angle triangle with sides 20 miles and 23 miles. The hypotenuse is the distance from the starting point. Pythagoras theorem states that for a right-angled triangle, the square of side of the hypotenuse is equal to the sum of squares of the other two sides. It is given by the equation:

c² = a² + b², where c is the hypotenuse and a,b are the sides

Let a = 20 miles and b = 23 miles

c² = a² + b²

c² = 20² + 23²

c² = 400 + 529

c² = 929

c = √929 = 30.48

c = 30.48 miles

7 0
4 years ago
What is the value of z?
weqwewe [10]

Answer:

z = 30.45 feet

Step-by-step explanation:

The volume (V) of a triangular prism is calculated as

V = area of triangular end (A) × length

Here V = 913.5 and length = 15, thus

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A = 60.9 ft²

The area of the triangle = \frac{1}{2} bh ( b is the base and h the height ), thus

\frac{1}{2} × 4 × z = 60.9

2z = 60.9 ( divide both sides by 2 )

z = 30.45

3 0
3 years ago
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If the radius of circle is r cm.write domn the measurement of area of that circle​
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3.14^2 ?.?.?.?.??..?.?.?
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From 170 to 97, there's a difference of 73.

so hmm if we take 170 to be the 100%, what is 73 in percentage off of it?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
170&100\\
73&p
\end{array}\cfrac{170}{73}=\cfrac{100}{p}\implies p=\cfrac{73\cdot 100}{170}
5 0
3 years ago
How many numbers bewteen 50 and 150 have at least one digit that is 2
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Answer:

52 62 72 82 92 102 112 120 121 122 123 124 125 126 127 128 129 132 142

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Step-by-step explanation:

6 0
3 years ago
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