19.47 is the answer. 29.5 * .66 or 66% is 19.47
Answer:
c that is the answer yes .
Answer:
a) decay
b) 2,950,000
c) 0.025
d)
e) 2,409,123
Step-by-step explanation:
<u>Part (a)</u>
Exponential DECAY, since the population was decreasing annually.
<u>Part (b)</u>
Initial amount = 2,950,000 people (in the year 2000)
<u>Part (c)</u>
Decay factor = 2.5% = 0.025 (in decimal form)
<u>Part (d)</u>
General form of exponential decay function:
where:
- a = initial amount
- r = rate of decay (in decimal form)
- x = time (in years)
Given:
<u>Part (e)</u>
To determine the city's population in 2008:
Answer:
474.84 ft of fencing is needed
Step-by-step explanation:
We know that the angles of a triangle sum up 180º. We already know 2 of the triangle's angles (55º and 63º). Therefore the third angle measures:
180 - 55 - 63 = 62.
To know how much fencing is needed, we need the perimeter of the triangle, so we need to find out how much the other sides of the lot measure.
We will use law of sins to solve this problem.
First we solve for y:
Now we solve for the other side of the lot, x:
Now that we have the measures of all the sides we sum them up
total fencing needed= 150 + 163.16 + 161.68 = 474.84
Answers:
- Distributive Property
- Inverse Property
- Identity Property
- Associative Property
- Commutative Property
- Multiplication Property of Zero
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Explanations:
- The distributive property is a*(b+c) = a*b+a*c. We multiply the outer term 'a' by each term inside (b and c), then add up the results. In this specific case, we are multiplying the outer 2 by x and 3. So that's why 2(x+3) = 2x+2*3 = 2x+6. The concept of factoring takes this process in reverse, so we go from 2x+6 to 2(x+3).
- The inverse property, specifically the additive inverse property, is where we can add any number to its negative counterpart to always get 0. The expression 2+(-2) is the same as 2-2. We can think of it like "we're on the 2nd floor and we go down 2 floors to end up on floor 0". In general, the additive inverse property is x+(-x) = 0, which is the same as -x+x = 0.
- We can multiply any number by 1, to get the same number. So that's why 1*x = 1x = x. Similarly, x*1 = x as well. This is the multiplicative identity property, often shortened to "identity property".
- The parenthesis shifted around, so this means we'll use the associative property. In general, that is a+(b+c) = (a+b)+c.
- We can multiply two numbers in any order. The general format is a*b = b*a. This is the commutative property of multiplication. The version for addition is a+b = b+a.
- Multiplying 0 by any number leads to 0. So we could have the most complicated expression thought possible, but if we multiply it by 0, then the whole thing goes to 0. At the end of this complicated expression is where the 0 is buried. This idea is useful when it comes to the zero product property where if A*B = 0, then either A = 0 or B = 0 or both are the case.