Answer:
a₁₂ = 16384
Step-by-step explanation:
The nth term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then
a₁₂ = 8 ×
= 8 × 2048 = 16384
The total amount is the sum of the cost of three nights in the hotel, $346.86, the flight costs, $45.70 + $32.49 = $78.19, and four days of food, $60, the amount he lost, $25, less the amount he won, $75. Calculating,
($346.86 + $78.19 + $60 + $25) - ($75) = $435.05
Answer:
-1
Step-by-step explanation:
to find x, use the following formula:
y = mx + b
(y = 0)
(m = change in y-value ... which is 2)
(x = change in x-value ... which is 2)
(b = y-axis ... which is -2)
y = mx + b
y =
+ -2
= 1
y = 1 + -2
y = -1
Answer:
- a) p(10) ≈ 48.10
- b) about 1.00 million/year
Step-by-step explanation:
a) Use t=10 in the given formula and do the arithmetic.
39.07×1.021^10 ≈ 48.0951 ≈ 48.10 . . . millions
__
b) The derivative of p(t) is ...
p'(t) = p(t)·ln(1.021) ≈ 0.8120·1.021^t
p'(10) ≈ 0.99954 ≈ 1.00 . . . . millions per year