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Tasya [4]
4 years ago
8

A county's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential

growth formula. Round your answer to the nearest million.
Mathematics
1 answer:
aliina [53]4 years ago
6 0
Let t=number of years since 1991.
Then 
P(t)=147 e^(kt)   ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715

Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
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3 years ago
Create an equation with a solution closest to 0 using digits 1 to 9
steposvetlana [31]

Complete Questions:

<em>Create an equation with a solution closest to 0 using digits 1 to 9 </em>

<em>_x + _ = _x + _</em>

<em></em>

Answer:

See Explanation

Step-by-step explanation:

Given

_x + _ = _x + _

Required

Fill in the gap using 1 to 9 to give a result close to 0

First, you have to determine what kind of numbers that are close to 0;

In this case, I'll work with -0.4 to 0.4 because the number in this range approximate to 0;

Next, is to fill in the gaps using trial by error method

5x + 2 = 2x + 3

Checking the above expression

<em>Collect Like Terms</em>

<em></em>5x - 2x = 3 - 2<em></em>

3x = 1

Divide equation by 2

x = 0.33 <em>(Approximated)</em>

Another trial is

6x + 8 = 2x + 7

Checking the above expression

<em>Collect Like Terms</em>

<em></em>6x - 2x = 7 - 8<em></em>

4x = -1

Divide equation by 4

x = -0.25 <em>(Approximated)</em>

<em>I'll stop here but note that, there are more expressions that can fill in the gaps</em>

6 0
3 years ago
What is the equation of a line perpendicular to the line y=(4/9)x-2 that passes through the point (4,3)?
Hoochie [10]
<span>y=(4/9)x-2
This is in slope intercept form (y=mx+b), where m is the slope. 
A perpendicular line will have the opposite reciprocal of the slope.
So if the slope here is 4/9, then the perpendicular line's slope will be -9/4.

Now that you have the slope (-9/4) and a point (4, 3), you can use the point-slope formula to find the equation.
y - y</span>₁ = m(x - x₁)
y - 3 = (-9/4)(x - 4)
y - 3 = (-9/4)x + 9
y = (-9/4)x + 12

So the answer will be:
C. <span>y= -(9/4)x+12</span>
3 0
4 years ago
Lakeridge health oshawa is a 423 beds hospital with 463 doctors and 4058 staff comprised of nurses and technologists. it is plan
Bezzdna [24]

The number of doctors that would be needed for the 35-bed wing is 38.

<h3>How many more doctors are needed?</h3>

The first step is to determine the number of doctors needed for one bed : 463 / 423

The second step is to multiply the ratio gotten in the first step by the number of beds in the new wing: (463 / 423) x 35 = 38.21 = 38

To learn more about ratios, please check: brainly.com/question/9194979

#SPJ1

3 0
2 years ago
Solve this for me 15x+82= 20x +12<br>​
Lina20 [59]

Answer:

here

Step-by-step explanation:

15x-20x= -82+12=>

=> - 5x= -70=>

= x= 14

8 0
3 years ago
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