The first term of an arithmetic sequence is 5. the eleventh term is 125. what is the common difference of the arithemetic sequence?
(1,5);(11,125)
Rate of change=change in y/change in x
=125-5/11-1=120/10=12
☆☆☆☆☆common difference of the arithemetic sequence is 12
Answer:
m∠ABC = 125° and AB ≅ DB, ΔACD is isosceles with base AD, CD = 52 cm
Step-by-step explanation:
i just took the quiz
Answer:
Options A,C and E.
Step-by-step explanation:
The given equation is
Let n be the unknown number, then
Twice a number minus nine and two-tenths is the same as the number plus four-fifths.
So, option A is correct.
Nine point two decreased by double a number is the same as the number added to four-fifths.
Nine point two less than twice a number is equal to the number added to four-fifths.
So, option C is correct.
Two times the difference of a number and nine and two-tenths is equal to the number plus four-fifths.
Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.
So, option E is correct.
Therefore, the correct options are A,C and E.
Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0
answer is third one
Answer:
$501,049.37
Step-by-step explanation:
For computing the amount after 22 years we need to applied the future value which is shown in the attachment below:
Given that
PMT = $9,000
NPER = 22 years
Annual rate = 0.078
Quarterly= 0.078 ÷ 4 = 0.0195
Effective annual rate = (1.0195^4) - 1 = 0.0803113041
Now applied the formula which is given below
= -FV(RATE;NPER;PMT;PV)
After applying the above formula, the future value is $501,049.37