Answer:
A: an = 6n - 9
Step-by-step explanation:
third term in an arithmetic sequence is 9
a3 = a + 2d
a + 2d = 9
the fifth term is 21
a5 = a + 4d
a + 4d = 21
a + 2d = 9 (1)
a + 4d = 21 (2)
Subtract (1) from (2) to eliminate a
4d - 2d = 21 - 9
2d = 12
d = 12/2
d = 6
Substitute d = 6 into (1)
a + 2d = 9 (1)
a + 2(6) = 9
a + 12 = 9
a = 9 - 12
a = -3
nth term of this sequence = a + (n - 1)d
= -3 + (n - 1)6
= -3 + 6n - 6
= 6n - 9
an = 6n - 9
Then one pencil costs about 2.14 cents.
<span>Entonces un lápiz cuesta alrededor de 2.14 centavos.</span>
Answer:
46,666
Step-by-step explanation:
Let Benny's salary = $ K
But kenny earns 142% of Benny's Salary
So, Kenny's salary = 142%of K
Kenny's salary =K 
Kenny's salary = 1.42K
Kenny's income exceeds Benny's by =1.42K - K =$0.42 K
% by which Kenny's salary exceeds by Benny's =
% by which Kenny's salary exceeds by Benny's = 42%
Answer:
3
−
2
=
1
3v-2=1
3v−2=1
Solve
1
Add
2
2
2
to both sides of the equation
3
−
2
=
1
3v-2=1
3v−2=1
3
−
2
+
2
=
1
+
2
3v-2+{\color{#c92786}{2}}=1+{\color{#c92786}{2}}
3v−2+2=1+2
2
Simplify
Add the numbers
Add the numbers
3
=
3
3v=3
3v=3
3
Divide both sides of the equation by the same term
3
=
3
3v=3
3v=3
3
3
=
3
3
\frac{3v}{{\color{#c92786}{3}}}=\frac{3}{{\color{#c92786}{3}}}
33v=33
4
Simplify
Solution
=
1
Step-by-step explanation:
