The correct format of the question is
At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. 
Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?
(A) 291
(B) 691
(C) 1040
(D) 1440
Answer:
The increase in the population at the end of 2009 is 291 people
Step-by-step explanation:
We are given the equation as
where
P = No of People
t= No of Years
it is given that in the year 2006 the population is 400
this will only happen when we take t= 0
so for
Year value of t
2006- t = 0
2007- t = 1
2008- t = 2
2009 t = 3
No of people in 2009 will be
= 400*1.728
P = 691.2
Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691
Increase = P(2009) - P(2006)
= 691 - 400
= 291
The increase in the population at the end of 2009 is 291 people.
Answer:
y = -2x - 2
Step-by-step explanation:
From the graph attached,
If the line 'l' passes through two points A(0, -1) and B(4, 1).
Rule for the rotation of any point (x, y), 90° clockwise about the origin is,
(x, y) → (y, -x)
By this rule,
A(0, -1) → A'(-1, 0)
B(4, 1) → B'(1, -4)
Let the equation of the line A'B' is,
y - y' = m(x - x')
where m = slope of the line A'B'
And (x', y') is a point lying on the line.
Slope of the line passing through A' and B' will be,
m = 
m = 
m = -2
Therefore, equation of the line passing through (-1, 0) and slope = -2,
y - 0 = (-2)(x + 1)
y = -2x - 2
So the equation of the line after rotation of lie 'l' by 90° clockwise will be,
y = -2x - 2
Answer: x=4
Step-by-step explanation:
because 5x2=10 since there are 5 boxes and you subtract 10 from 30 so you get 20 and then you divide 20 by 5 for each box and get 4
(4+2)x5=30
hope this helps
Answer:
Probability that the cost will be less than $500 is 0.95994 .
Step-by-step explanation:
We are given that Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $348 with a standard deviation of $87.
Let X = cost of a hospital emergency room visit for this medical service
So, X ~ N(
)
The standard normal z score distribution is given by;
Z = 
~ N(0,1)
(a) Probability that the cost will be less than $500 = P(X < $500)
P(X < 500) = P( < 
) = P(Z < 1.75) = 0.95994 {from z table}
Therefore, the probability that the cost will be less than $500 is 0.95994 .
⇒ Based on the given rules of "Fire-Water-Sponge," outcomes 1<span>, </span>5<span>, and </span>8 are outcomes where you lose.
<span>Therefore, </span><span>1,5, and 8</span><span> are the subset of outcomes where you lose, and we now can say that the statements "The subset consists of all of the outcomes where your friend wins" and "The subset consists of all of the outcomes where you do not win, and there is not a tie" accurately describe the subset.
</span>
Furthermore, because every subset outcome involves you losing, the statements "The subset consists of all of the outcomes where you win" and "The subset consists of all of the outcomes where there is a tie" do not accurately describe the subset.
The statements that accurately describe the given subset of the sample space are:
<span>The subset consists of all of the outcomes where your friend wins.
</span><span>
</span>The subset consists of all of the outcomes where you do not win and there is not a tie.
