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puteri [66]
3 years ago
13

3. m=-4, b = 1 a. y=x-4 b. y = -4x – 1 C. y=-*x+1 d. y=-4x + 1

Mathematics
1 answer:
poizon [28]3 years ago
8 0

idkAnswer:

Step-by-step explanation:

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A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponentia
katrin [286]
The answer is 150 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 141 million = 141 000 000
P = 136 million = 136 000 000
n = ?
x = 2000 - 1991 = 9
Therefore:
141 000 000 = 136000 000 * e ^{n*9} \\ e ^{n*9} =141000 000 /136000000 \\ e ^{n*9} =1.04

Logarithm both sides of the equation:
ln(e ^{n*9})=ln(1.04) \\ n*9*ln(e) = ln(1.04) \\ 6n=ln(1.04) \\ n = \frac{ln(1.04)}{9} \\ n = \frac{0.04}{9} \\ n = 0.004

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2016
A = ?
P = 141 000 000
n = 0.004
t = 2016 - 2000 = 16
A = 141 000 000 * e ^{0.004*16} \\ A = 141000 000 * e^{0.0640} \\ A = 141000 000 * 1.066\\ A = 150306 000

Thus, the population will be nearly 150 million in 2016
7 0
4 years ago
The graph of linear function f passes through the point (1, -9) and has a slope of -3. What is the zero of f ?
den301095 [7]

Answer:

-2

Step-by-step explanation:

The standard equation of a line is y = mx+c

m is the slope

c is the intercept

Given

Slope = -3

Get the intercept c;

Substitute m = -3 and (1, -9) into y = mx+c

-9 = -3(1) + c

-9  = -3 + c

c = -9 + 3

c = -6

The equation becomes

y = -3x + (-6)

y = -3x-6

f(x) = -3x-6

The zero of f occurs at f(x) = 0

0 = -3x-6

3x = -6

x = -6/3

x = -2

Hence the zero of the function is -2

5 0
3 years ago
jen pick 3/4 of a gallon of strawberries in half hour if she keeps picking them at the same rate how many gallons will she have
____ [38]
Idk the answer because idk math
7 0
3 years ago
Find g(x), where g(x) is the reflection across the x-axis of f(x)=<br> –<br> 4(x–10)2+3.
Dahasolnce [82]
8x-77 would be the answer to this
3 0
2 years ago
Y-5=6(x-7)<br><br> A. (5,7)<br> B. (7,5)<br> C. (-7,-5)<br> D. (-5,-7)
lidiya [134]

Answer:

B

Step-by-step explanation:

7-7 x 5 = 0

5-5 = 0

8 0
4 years ago
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