4b^2 - 16 =
4(b^2 - 4) =
4(b + 2)(b - 2)
X, x + 2, x + 4 cause if you add 1 it becomes even so add 2 everytime to keep it odd
Answer: $787 was originally borrowed.
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
Total amount = $1181.05
Interest = total amount - principal
I = 1181.05 - P
R = 15%
T = 1 year
Therefore,
1181.05 - P
Therefore,
1181.05 - P = (P × 15 × 1)/100
1181.05 - P = 0.15P
P + 0.15P = 1181.0
1.5P = 1181.05
P = 1181.05/1.5
P = $787
Answer:
0.75 mg
Step-by-step explanation:
From the question given above the following data were obtained:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Amount remaining (N) =.?
Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Number of half-lives (n) =?
n = t / t₁/₂
n = 6/6
n = 1
Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Number of half-lives (n) = 1
Amount remaining (N) =.?
N = 1/2ⁿ × N₀
N = 1/2¹ × 1.5
N = 1/2 × 1.5
N = 0.5 × 1.5
N = 0.75 mg
Thus, 0.75 mg of the sample is remaining.
A. yes this is a statistical question. it is a statistical question because you can answer the question by collecting data.
b. some clusters are.. 3,4,5, and 6 they are clusters because they are assembled around a particular value. the peak is 6 because it is the highest number it reaches. there are no gaps in this table.
c. to calculate the average with a graph you sum the numbers then divide by the total number of values in the set. for this table you add 1+2+3+3+4+4+4+5+5+5+5+5+5 then you divide by 15.
1+2+3+3+4+4+4+5+5+5+5+5+5=51
51 ÷ 15= 3.4
