The amount earned hourly by Ryan and the number of work hours required to cover his vacation cost are $29.75 and 63 hours respectively.
<u>Given the Parameters</u> :
- Total amount earned = $238
- Number of hours worked = 8 hours
Hourly earning = Total earning ÷ number of hours worked
Hourly earning = $238 ÷ 8 = $29.75
B.)
Vacation cost = $1850
Hourly earning = $29.75
<u>Number of work hours required</u> :
- Vacation cost ÷ Hourly earning
Therefore, Ryan will need to work for 63 hours to cover his vacation expenses.
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Answer:
y=1/∛4 divides the area in half
Step-by-step explanation:
since the minimum value of x² is 0 (for x=0 ) and for y=1
1 = 25*x² → x= ±√(1/25) = ±1/5
then the total area between y=1 and y = 25*x² is bounded to x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus
Area below x=C = Area above x=C
Area below x=C = Total area - Area below x=C
2*Area below x=C = Total area
Area below x=C = Total area /2
∫ 25*x² dx from x=c to x=-c = 1/2 ∫ 25*x² dx from x=1/5 to x=-1/5
25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]
2*c³/3 = (1/5)³/3
c = 1/(5*∛2)
thus
y=25* x² = 25*[1/(5*∛2)]² = 1/∛4
thus the line y=1/∛4 divides the area in half
The residue in each case is the difference between actual and predicted sales. Thus:
55 - 40 = 15
150 - 150 = 0
325 - 300 = 25
510 - 500 = 10
800 - 780 = 20
1000 - 990 = 10
These add up to be:
15 + 25+ 10 +20 +10
= 80
The 34th term of the sequence 158, 155, 152 ...... is 59
The sequence is as follows:
158, 155, 152 ......
let
a = first term = 158
d = common difference = 155 - 158 = -3
Using Arithmetic progression formula, let's find the 34th term as follows:
aₙ = a + (n - 1)d
a₃₄ = 158 + (34 - 1)-3
a₃₄ = 158 + (33)(-3)
a₃₄ = 158 - 99
a₃₄ = 59
Therefore, the 34th term of the sequence is 59.
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