Answer:
f(t) = 1.22·(173/122)^(t/5)
Step-by-step explanation:
(a) An exponential growth (or decay) function can be written using the form ...
f(t) = (initial value)·(ratio in period)^(t/period)
Here, we're given an initial value of 1.22, a growth ratio of 1.73/1.22 in a period of 5 years, so we can write the function as ...
f(t) = 1.22·(173/122)^(t/5)
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(b) In 2038-2012 = 26 years, the value of the function is ...
f(26) = 1.22·(173/122)^(26/5) ≈ 7.50 . . . . million
Answer:
x = 9.5y
Step-by-step explanation:
7 lawns = $66.50
1 lawn = $66.50 ÷ 7
= $9.50
You now know that for one lawn mowed, the amount of money earned is $9.50. Thus:
1x = 9.5y
x = 9.5y
Name Score
Julia 650
Andrew 550
Jason 380
Cathy 720
Jessica 710
Robert 550
Point estimate for the mean score:
Sample mean = sum of all observations / number of observations
sample mean = (650+550+380+720+710+550) / 6
sample mean = 3560 / 6
sample mean = 593.33
The point estimate for the mean score is 593.33
16)
(4x + 2) is equal to 150 because they are vertical angles. When two lines intersect, on the opposite sides of the x like these are will be equal to one another. So let’s make them equal to each other.
4x + 2 = 150
Subtract 2
4x = 148
Divide by 4
x = 37
So it will be A
17)
The two angles added up with each other
34 + 146 = 180
Since these two add up to 180 degrees, they would be supplementary angles.
So, H
18)
The two angles will make a 90 degree angle (as shown with the little box formed in the corner)
When angles add up to make 90 degrees, they will be complimentary angles.
So, C.