Answer:
18
Step-by-step explanation:
3^4=9*9=81
14-5=9
81/9=9
9*2=18
General Idea:
In an arithmetic sequence, to find the term, we need to use the below formula:
Here gives the term
gives the first term of sequence
d is the common difference and n is the number of terms in the sequence.
Applying the concept:
In our problem it is given that "A company gives each new salesperson a commission of $300 for the sale of a new car",
so
"The salesperson will receive a $100 increase for each addition car the person sells that week"
so
"find the number of cars a salesperson must sell to earn $4,200 in a week", this means that we need to find the value of n, when
Setting up the equation based on the arithmetic sequence formula, we get:
Conclusion:
New Salesperson has to sell 40 cars to earn $4200 in a week.
Answer:
Step-by-step explanation:
y = -(x - 6)² + 2
At x-intercept y = 0
0 = -(x - 6)² + 2
(x - 6)² = 2
Take square root both sides
x - 6 = ± √2
x = 6 ± √2
Step-by-step explanation:
We will have the following
*First: We have that the area of a sector of a circle is given by the expression:
A = r²a/2
Here r is the radius and alpha is the central angle.
*Second: We determine the central angle as follows:
(12)²a/2 ➡️ a = 36í•2/(12) ²➡️
So, the central angle has a measurement of 1/2 pi.
Third: We determine the perimeter of the sector as follows:
First: we determine the arc length with two times the radius, that is:
p = 2(12) +
➡️ p = 24 +
<em>So</em><em>,</em><em> </em><em>the</em><em> </em><em>perimeter</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>sector</em><em> </em><em>is</em><em> </em><em>2</em><em>4</em><em>+</em><em> </em><em>6pi</em><em> </em><em>meters</em><em> </em><em>[</em><em> </em><em>Approximately</em><em> </em><em>4</em><em>3</em><em> </em><em>meters</em><em>]</em><em>.</em>
Answer:
Multiple Choice Answer: domain (-∞, ∞), range f(x) ≥ 3