Answer:
The explicit formula for the geometric sequence is 
.
Step-by-step explanation:
By definition of geometric sequence, we should use the following expression:
, 
(1)
Where:
- First term.
- Geometric rate.
- Position of the element within the series.
If we know that 
and 
, then the explicit formula for the geometric sequence is:
The explicit formula for the geometric sequence is .
Answer:
B. 12n + 2(25) ≤ 100
Step-by-step explanation:
The inequality you are asked for is intended to express ...
shirt cost + pant cost (is less than or equal to) Sandy's budget
The cost of n shirts at $12 each will be 12n. The cost of 2 pants at $25 each is 2(25). Then the inequality is ...
12n + 2(25) ≤ 100 . . . . . matches choice B
11,850 x .9 = 11,605
11605 x . 9 = 9,598.5 year 2
9,598.5 x .9 = 8,638.65
8,635 x .9 = 7,774.785 year 4
7,774.785 x .9 = 6,997.31
6,6997.31 x .9 = 6297.58 year 6
6297.58 x .9 = 5,667.82
5,667.82 x .9 = 5,101.04 year 8
The answer is D
Answer:
$39.24
Step-by-step explanation:
Let's determine the sale price before tax:
0.40($60) = $24 is the discount, so
the sale price is $60 - $24, or $36.
Multiplying this result by 1.09 results in the total price, including tax. It is $39.24.
Answer:
3.14 cm²/min
Step-by-step explanation:
rate of increasing of radius, dr/dt = 0.01 cm/min
r = 50 cm
Area of plate, A = πr²
rate of increase of area
dA/dt = 2πr dr/dt
dA/dt = 2 x 3.14 x 50 x 0.01
dA/dt = 3.14 cm²/min
Thus, the increase of rate of area is 3.14 cm²/min.
