Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
This would probably be B.
Answer:
2538
2.5%
Step-by-step explanation:
The population equayio since year 2000 can be modeled mathematically as :
P = 2538(1.025)^t
This is an exponential growth function which is represented by the general formula :
y = a(b)^t
Where, a is the initial population ;
b = growth factor ; b = (1 + r) where r = growth rate
Comparing the equations, the population in year 2000 represents the initial population, a = 2538
The percentage Rate of increase in population is :
(1 + r) = 1.025
r = 1.025 - 1
r = 0.025 ; 0.025 * 100% = 2.5%
7p=80
P greater than or equal to 11.42857
21 is the length of the rectangle
