Answer: £164.50
Reducing 175 by 6% results in 164.5.
The absolute change is:
164.5 - 175 = -10.5
Step-by-step explanation:
The calculation is as follows:
175 - Percentage decrease =
175 - (6% × 175) =
175 - 6% of 175 =
(1 - 0.06) × 175 =
0.94 × 175 =
94 ÷ 100 × 175 =
94 × 175 divided by 100 =
16,450 ÷ 100 =
164.5
So, the final amount is £164.50
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years
An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31 years
I hope this is helpful:-)
The function

represents a parabola positioned at the vertex (5, 3).
Attached here is the graph depicting this function.
Answer:
(1, 1), (2, 2.333) and (3, 3.666).
Step-by-step explanation:
To solve this equation, we can select various values for x and then compute the corresponding y values.
<pFor instance, when x = 1, we find:
4*1 - 3y = 1
3y = 3
y = 1
When x = 2, we discover:
4*2 - 3y = 1
3y = 7
y = 2.333
Then for x = 3, we have:
4*3 - 3y = 1
3y = 11
y = 3.666
Therefore, the coordinates we will plot are (1, 1), (2, 2.333), and (3, 3.666).
Refer to the attached image for the plot.
Answer:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
Step-by-step explanation:
Based on the details provided:
Employees with less than 3 years receive an increase of $0.50 hourly
Employees with at least 3 years but under 6 years receive $1.00 increase hourly
Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly
Employees with at least 9 years but below 12 years receive $2.00 increase hourly
This information can be expressed as a piecewise function:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
The conditions are outlined in the piecewise function above with x indicating the number of years employed.