Answer:
yes it is the 10th term in the series
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 = 7 and r = 
= 
= 2 , then
= 7 
Equate to 3584 and solve for n
7 = 3584 ( divide both sides by 7 )
= 512 , that is
= 
Since the bases on both sides are equal, both 2 , then equate the exponents
n - 1 = 9 ( add 1 to both sides )
n = 10
3584 is the 10th term in the series
Answer:
Let's denote: A(-4, 5), B(7, -9).
If P(x, y) is the midpoint of AB, then we have:
x = (-4 + 7)/2 =3/2
y = (5 + (-9))/2 = -2
=> P(3/2, -2)
Hope this helps!
:)
Answer:
2.814 * 10^14
Step-by-step explanation:
For exponential growth:
A = A0*e^kt
A = final amount ; A0 = initial amount ; t = time
Since bacterium doubles ever half hour ;
In 1 hour number of bacterium will be 2² = 4
Hence
Final amount after 1 hour
4 = 1*e^k*1
4 =e^k
Take In of both sides
In(4) = k
Number of bacterium in 24 hours
A = 1*e^In4 * 24
A = e^24In4
A = e^33.271064
A = 281474976710656
A = 2.814 * 10^14
Answer:it will take 9 days for both actors to charge the same amount.
Step-by-step explanation:
Let x represent the number of days it will take the cost of hiring either actor A or actor B to be the same.
Let y represent the cost of hiring actor A for x days.
Let z represent the cost of hiring actor B for x days.
Actor A is offering her services for initial $250 in addition to $40 per day. It means that
y = 250 + 40x
Actor B is offering her services for an initial $160 in addition to $50 per day. It means that
z = 160 + 50x
To determined the number of days when both costs would be the same, we would equate equation y to equation z. It becomes
250 + 40x = 160 + 50x
50x - 40x = 250 - 160
10x = 90
x = 90/10 = 9
Answer:
D
Step-by-step explanation:
hope this helped
