Answer:
f(4) = 12.2
Step-by-step explanation:
we are given that x = 4, plug in 4 into the equation
f(4) = 5(1+0.25)^(4)
f(4) = 5(1.25)^(4)
raise 1.25 to the 4th, which is equal to 2.44
f(4) = 5(2.44)
f(4) = 12.2
Answer:
100 blocks.
Step-by-step explanation:
Let x represent number of blocks built by Gage.
We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be 
.
We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.
Number of blocks built by Colton: 
.
Therefore, Colton had build 100 blocks.
First, an introduction: If the equation of the circle were x^2 + y^2 = 144, then the center would be at (0,0) and the radius would be 12. Note that the distance from the center to P(10,10) is 10sqrt(2), or 14.14. Thus, in this example, P would be OUTSIDE the circle (since 14.14 is greater than the radius 12).
Now let's focus on <span>(x-1)^2 + (y-2)^2 =144. Let x = 12 as an example; find the corresponding y: 9^2 + (y-2)^2 = 144, or (y-2)^2 = 63, and so y-2 is approx. -8 or +8. Then y (for x = 12) is either approx. -10 or 6: (12,-10) or (12,6). Are these inside the circle or outside?
A better way to address this would be as follows:
Find the distance from the center (1, 2) to the point P(10,10). If this distance is less than 12, the point P is inside C; if greater than 12, P is outside C.
This distance is sqrt( (10-2)^2 + (10-1)^2 ), or sqrt (64+81) = sqrt(145).
This is LARGER than sqrt(144). Thus, P is OUTSIDE the circle C.</span>
Alright, "<span>of the 25 residents", bingo, we have it, 25
wait, 26 people use my base?, wat
ok, so um
anyway, 13 use both, so 13 of the 26 using base 10 are also in the 22 using base 14
so
26+22-13=35 people using bases
and then there is 1 resident not using anything
35+1=36
36 residents
wait, we had 'of the 25 residents, 13 use both and 1 can't use either'
what happened to the other 11, maybe they are using one or the other?
I say 36 residents
</span>
Multiply the price of her meal by the percentage of the tip.
15% = 0.15
Tip = 10.25 x 0.15 = 1.54
The tip was $1.54
