Answer:
N = 400(1.25^t); 3725
Step-by-step explanation:
25% more is 125% of the previous, which is 1.25
N = 400(1.25^t)
t = 10
N = 100(1.25^10)
N = 3725.290298
Around 3725 people
Answer:
k=13.8
Step-by-step explanation:
Given function:
- 2.5k+47.4=81.9
- to find k..
<u><em>Subtract final and middle value:</em></u>
<em><u>Divide by 2.5:</u></em>
Therefore, k=13.8..
Answer:
<em>B</em> 
Step-by-step explanation:
<u>Dilations</u>
Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.
The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.
Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.
The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.
Thus, the rule to dilate the pentagon is:
B 
8)
is -0.896 radians
9) length of arc is 41.91 cm
Solution:
8)
Given that,

is in quadrant 4
To find: 
From given,

Thus value of
is -51.34 degrees
Convert degrees to radians

Thus
is -0.896 radians
9)
From given,
radius = 15.4 cm

<em><u>The length of arc when angle in radians is:</u></em>

Thus length of arc is 41.91 cm
Answer:
Jeff mows 9 yards of lawn in 30 minutes
Step-by-step explanation:
The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is
, where n is the number of yards he mows.
To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.

Add -12 to both sides:


Divide both sides by 2


Hence Jeff mows 9 yards of lawn in 30 minutes.