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Naddik [55]
3 years ago
15

the australian humpback whale population was 350 in 2001 an increased at a rate of 14% each year. write a function to model the

population growth and predict what the population will be in 2030?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer:

15,643

Step-by-step explanation:

To find the population in a future year, use the formula:

A = P (1+/-r)^t

where A is the amount, p is the starting population, r is 14% or 0.14, and t is the number of years after 2001.

Since the population is increasing it is addition. Here we are finding A, P =350, r=0.14, and t=29.

A = P (1+r)^t\\A = 350(1+0.14)^29\\A=350(1.14)^29\\A=15,643

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Examine the diagram.
aniked [119]

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.

Setting up the equation you would have: 132 = x + (3x-24)

Now solve for x:

132 = x + (3x-24)

Simplify:

132 = 4x -24

Add 24 to both sides:

156 = 4x

Divide both sides by 4:

x = 156/4

x = 39

8 0
3 years ago
Read 2 more answers
Зу - 2(5y - 7) = -9y + 6​
Iteru [2.4K]

Answer:

y = -4

Step-by-step explanation:

3y - 2(5y - 7) = -9y + 6 (Given)

3y - 10y + 14 = -9y + 6 (Distribute)

-7y + 14 = -9y + 6 (Add like terms)

2y + 14 = 6 (Add 9y on both sides)

2y = -8 (Subtract 14 on both sides)

y = -4 (Divide 2 on both sides)

You can check by substituting the solution for y:

3(-4) - 2(5(-4) - 7) = -9(-4) + 6

-12 - 2(-20 - 7) = 36 + 6

-12 - 2(-27) = 42

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42 = 42

4 0
3 years ago
A snowstorm began at noon, and snow had fallen at a constant rate per hour. If the depth of the snow was 21 inches at 5 o’clock
Anna007 [38]

Answer:

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Step-by-step explanation:

5 0
3 years ago
I need help with question 1
GaryK [48]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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The Wares want to buy a new computer. The regular price is $1,049. The store is offering a 20% discount and a sales tax of 4.25%
wlad13 [49]

Hi there!

Here is the step by step explanation to solving this problem :

20% of $1,049

20% is the same thing as 0.2 & the word "of" is the same thing as a multiplication sign :

0.2 × 1,049 = $209.80


1,049 - 209.80 = $839.20 = price after discount


4.25% is the same thing as 0.0425 :

0.0425 × 839.20 ≅ $35.67


839.20 + 35.67 = $874.87


The total cost is : $874.87


There you go! I really hope this helped, if there's anything just let me know! :)


5 0
3 years ago
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