2 consecutive odd integers : x and x + 2
x(x + 2) = 27 + 6(x + x + 2)
x^2 + 2x = 27 + 6(2x + 2)
x^2 + 2x = 27 + 12x + 12
x^2 + 2x - 12x - 12 - 27 = 0
x^2 -10x - 39 = 0
(x + 3)(x - 13) = 0
x + 3 = 0
x = -3 (extraneous solution)
x - 13 = 0
x = 13
x + 2 = 15
so ur 2 integers are 13 and 15, with 15 being the largest
Answer:
$6960
Step-by-step explanation:
p is not the principle. It is the principal.
I = prt
p = $6000
r = 8% = 0.08
t = 2
I = ($6000)(0.08)(2)
I = $960
Total amount after 2 years = principal + interest
Total amount = $6000 + $960
Total amount = $6960
Answer:
<h2>
The eleventh term of the sequence is 64</h2>
Step-by-step explanation:
The sequence given is an arithmetic sequence
14, 19, 24, …………., 264
The nth term of an arithmetic sequence is given as;
Tn = a+(n-1)d where;
a is the first term = 14
d is the common difference = 19-14=24-19 = 5
n is the number of terms = 11(since we are to look for the eleventh term of the sequence)
substituting the given values in the formula given;
T11 = 14+(11-1)*5
T11 = 14+10(5)
T11 = 14+50
T11 = 64
The eleventh term of the sequence is 64
Answer:
The correct option is B.
Step-by-step explanation:
It is given that the surface area of an oil spill gets 131% larger every day, represented by the function
Where x is number of days.
On the first day, it covered an area of 21 square meters. It means the initial area is 21 square meters.
The function is defined as
Where is initial value and b is growth factor.
It means the function of new area is the product of initial area and increasing area function. The required function is
Therefore option B is correct.
Um i would love to help but i do t really understand