Answer:
The 3rd, 4th, and 6th are correct but I'm not sure if the second would be correct as well.
Step-by-step explanation:
Answer:
$88.50
Step-by-step explanation:
118*0.75 = 88.50
Answer:
Option C. 1020
Step-by-step explanation:
From the question given above,
512 + 256 +... + 4 =?
We'll begin by calculating the number of terms in the sequence. This can be obtained as follow:
First term (a) = 512
Common ratio (r) = 2nd term / 1st term
Common ratio (r) = 256 /512
Common ratio (r) = 1/2
Last term (L) = 4
Number of term (n) =?
Tₙ = arⁿ¯¹
L = arⁿ¯¹
4 = 512 × (1/2)ⁿ¯¹
Divide both side by 512
4 / 512 = (1/2)ⁿ¯¹
1/128 = (1/2)ⁿ¯¹
Express 128 in index form with 2 as the base
1/2⁷ = (1/2)ⁿ¯¹
(1/2)⁷ = (1/2)ⁿ¯¹
Cancel 1/2 from both side
7 = n – 1
Collect like terms
7 + 1 = n
n = 8
Thus, the number of terms is 8
Finally, we shall determine the sum of the series as follow:
First term (a) = 512
Common ratio (r) = 1/2
Number of term (n) = 8
Sum of 8th term (S₈) = ?
Sₙ = a[1 – rⁿ] / 1 – r
S₈ = 512 [1 – (½)⁸] / 1 – ½
S₈ = 512 [1 – 1/256] ÷ ½
S₈ = 512 [255/256] × 2
S₈ = 2 × 255 × 2
S₈ = 1020
Thus, the sum of the series is 1020.
5 / 3/4 = 5/1 * 4/3 = 20/3 = 6 2/3
6 2/3 * 93 = 20/3 * 93/1 = 1860/3 = 620 calories
Answer:
6866, 71995
Step-by-step explanation:
I'm going to assume it has a growth rate of 160% per hour.
Anyways, since after four hours, there were 45,000 Bacteria X in the egg salad, we can write the following function:
, where P represents the initial amount, B(h) represents the total, and h represents the number of hours that has passed. The 1.6 represents the 160% growth rate per hour.
We already know that four hours has passed when the population is 45,000, thus:
So the initial population is around 6866.
After five hours, the number of bacteria will be:
