In this question, it is given that
Leanne has a gas card that has $150 on it. She spends $25 a week on gas.
And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week .
Recursive rule shows the relationship between previous value and the current value .
And here, the recursive rule is
![a_{n} = a_{n-1}-25n](https://tex.z-dn.net/?f=%20a_%7Bn%7D%20%3D%20a_%7Bn-1%7D-25n%20)
Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .
So for n=1, that is amount in the card after 1 week, we will get
![a_{1} = a_{1-1} -25(1) \\ a_{1} = a_{0} -25 \\ a_{1} = 150 -25 \\ a_{1} = $125](https://tex.z-dn.net/?f=%20a_%7B1%7D%20%3D%20a_%7B1-1%7D%20-25%281%29%0A%5C%5C%0Aa_%7B1%7D%20%3D%20a_%7B0%7D%20-25%0A%5C%5C%0Aa_%7B1%7D%20%3D%20150%20-25%0A%5C%5C%0Aa_%7B1%7D%20%3D%20%24125%20)
And that's the amount remaining in the card after 1 week .
Answer:
First one:
Both the mean and median are greater for Plot A than for Plot B
Step-by-step explanation:
Set A:
Mean:
[1×10 + 2×7 + 2×6 + 2×5 + 2×4 + 1×3]/10
= 5.7
Median:
Median position: (10+1)/2 = 5.5th value
(5+6)/2
Median = 5.5
Set B:
Mean:
[1×7 + 3×6 + 3×5 + 2×4 + 1×3]/10
= 5.1
Median:
Median position: (10+1)/2 = 5.5th value
(5+5)/2
Median = 5
Mean: A is greater
Median: A is greater
Yes no yes yes no
hope it helps
Answer:
The vertex is (-3,-2)
Step-by-step explanation:
We can write the equation for a parabola in the form
y = a(x-h)^2 +k where (h,k) is the vertex
y =-2 (x - 3)^2 - 2
h = -3 and k =-2
The vertex is (-3,-2)
Answer:
The percentage increase in worker wages in hourly rate of pay is 16.5%
Step-by-step explanation:
Given as :
The Initial wages earn by worker = $ 5.15 per hour
The Final wages earn by worker = $ 6 per hour
Let The percentage increase in her hourly rate of pay = x %
Now, According to question
x % = ![\dfrac{\textrm Final earning - \textrm Initail earning}{\textrm Initial earning}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20Final%20earning%20-%20%5Ctextrm%20Initail%20earning%7D%7B%5Ctextrm%20Initial%20earning%7D)
or, x =
× 100
or, x =
× 100
or, x = 0.165 × 100
∴ x = 16.5%
So , Percentage increase in wages = x = 16.5 %
Hence The percentage increase in worker wages in hourly rate of pay is 16.5% Answer