You are ordering a meal and have $15 to spend on. The restaurant charges 6% sales tax and you plan to leave a 15% tip. The equat
2 answers:
<h2>Answer:</h2>
The maximum amount you can spend before tax and tip is:
$ 12.397
<h2>Step-by-step explanation:</h2>x represents the cost before tax and tip.
Also, we have a total of $ 15 to spend on.
The equation which represents the total cost of our meal is given by:
c= x+0.06x+0.15x
This means that:
The answer is: $ 12.397
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Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
--------------------------------------------------------------
The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
=
- 7 with a₁ = - 18 ← recursive formula
Answer:
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<em>The last option matches the correct solution</em>
Step-by-step explanation:
<u>Equation Solving</u>
We have the following equation:
And it's required to solve it for r.
Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.
It can be done by conveniently operating on both sides as follows:
Eliminate the denominator by multiplying by 3:
Move to the other side by dividing by
:
Swapping sides to have r at the left side:
Finally, take the cubic root and leave r alone:
The last option matches the correct solution