Answer and explanation:
They are not equivalent because if we simplify the second expression, the result isn't the same:
7(y×b)+3b
= 7(yb)+3b
=7yb + 3b
Therefore 7yb+3b≠7y+7b+3y
And even though you meant
7(y+b)+3b
=7y+7b+3b
=7y+10b
7y+10b≠10y+7b
1) Johnson's profit is
... net profit = selling price - costs = $155 - 35.00 - 39.17 - 36.43 = $44.40
His net earnings per hour are then
... earnings/hours = $44.40 / (4.5 h) = $9.87/h
2) net profit = selling price - overhead - cost
... net profit = selling price - 0.45 × selling price - cost . . . . substitute for overhead
... net profit = 0.55 × selling price - cost
Given that overhead = 0.45 × selling price, we can find selling price by dividing by 0.45:
... selling price = overhead/0.45
Using this in the profit equation, we have
... net profit = 0.55×(overhead/0.45) - cost
... = (0.55/0.45) × $65.34 - 49.32 . . . . . . substitute given numbers
... net profit = $30.54
If you mean to say to find the 11th term, then know that this is an arithmetic sequence (where you have a common difference).
The common difference in this case is -2.
The formula for finding any term in an arithmetic sequence (specifically the explicit formula) is:
where a_n is the term, a_1 is the first term, n is the term number (position) and d is the common difference.
Let's substitute the corresponding values to the formula.
The 11th term is -17.
P(t+1) = -2
divide by P
Subtract 1
T equals negative 2 over P minus 1
T = -2/P -1
It should be
72:24 = 15:5