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kolezko [41]
2 years ago
7

If the expression 400(1.12)y gives the number of fish in a man-made lake y years after fish were placed in the lake, which state

ment is true?
Mathematics
1 answer:
Goshia [24]2 years ago
3 0

The expression 400(1.12)^y is an exponential function

The true statement is that the growth rate of the fish in the lake is 12%

<h3>How to determine the true statement?</h3>

The expression is given as:

400(1.12)^y

The above expression is an exponential growth function,

Where:

  • 4000 represents the initial value
  • 1.12 represents the growth factor

Next, we calculate the growth rate (r) as follows:

r = 1.12 - 1

r = 0,12

Express as percentage

r = 12%

Hence, the true statement is that the growth rate of the fish in the lake is 12%

Read more about exponential functions at:

brainly.com/question/11464095

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Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.
kirill115 [55]

Answer:

2(x + 1) = 10

x = 4

Step-by-step explanation:

Given:

2(x + 1) = 10

Solution:

Apply Distributive property

A*(B+C) = (A*B) + (A*C)

This means multiply 2 with x and 1

2*(x+1) = (2*x) + (2*1)

2x + 2 = 10      

Use Subtraction property of equality

A = B, then A - C = B - C

Subtracting 2 from both sides:

2x + 2 - 2 = 10 - 2

2x = 8                  Step 3

Use Division property of equality

It state that if you divide both sides of an equation by same nonzero number then the sides remain equal

Dividing both sides by 2

2x/2 = 8/2

x = 4

This means value of x is 4

Another method to solve this equation is:

2(x+1)=10  

Use Distributive property

A*(B+C) = (A*B) + (A*C)

2*(x+1) = (2*x) + (2*1)  

2*(x+1) = 2x + 2  

Use commutative property

A + (-B) = (-B) + A

2x + 2 + (-2) = 2x + (-2) + 2

2x + 2 + (-2) = 10 + (-2)

2x + 2 - 2 = 10-2  

2x = 8  

Using division property

AX = B  

AX / A = B / A

So

X = B/A

This becomes:

2x = 8

2x = 8.

Divide both sides by 2  

2x / 2 = 8 / 2  

x = 4

3 0
3 years ago
anne picks a 4-digit number the first number is not 0 the four digit number is a multiple of 5 how many different 4-digit number
Gala2k [10]
The first digit of a number can be 1-9. The 2nd and the 3rd digit can be 1-10. The last digit can be 0 or 5 ( 2 numbers ):
9 * 10 * 10 * 2 = 1,800
She could pick 1,800 different 4-digit numbers.
8 0
4 years ago
The volume (in cubic meters) v, of a rectangle prism is given by the expression: v=x^4-y^4
postnew [5]

Answer:

x^2

Step-by-step explanation:

the explanation i do not know please because i am not sure of it.

6 0
3 years ago
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The table of a linear function is partially completed below. What is the missing y-value to complete the table?
NeTakaya
The missing answer would be -2
4 0
3 years ago
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In a normal bell shaped curve, approximately which percentage of scores fall within 3 standard deviation (-3 to +3) or blank (34
Leokris [45]

Let x represent the scores. With mean and standard deviation given,

The Empirical rule states that

1) About 68% of the x values lie between 1 standard deviation below and above the mean

2) About 95% of the x values lie between 2 standard deviation below and above the mean

3) About 99.7% of the x values lie between 3 standard deviation below and above the mean

If we consider this rule, then the percentage of scores that fall within 3 standard deviation (-3 to +3) is 99% because this is closer to 99.7%

5 0
1 year ago
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