Answer: Explicit Rule: a_n=30,000 • 2^n-1
Recursive Rule: a_n = 2a_n-1; a_1 = 30,000
Step-by-step explanation: the explicit rule for a geometric sequence is a_n = a_1 • r^n-1 and the recursive rule is a_n= r • a_n -1.
a_1 is the first term of the sequence, which is this case is 30,000. R is the common ration, which is 2 since it doubles each time. Substitute those numbers into the formulas and that’s what you’ll get. Hope this helps. God bless you!!!
8. 1,728 i did 12×18÷2=108×32=345÷2= 1,728
Answer:
year 2139
Step-by-step explanation:
The population will double when the factor e^(.005t) is 2.
e^(.005t) = 2
.005t = ln(2)
t = ln(2)/0.005 = 138.6
The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.
Answer:
The length of the slide he needs to make = AC = L = 14.3 ft
Step-by-step explanation:
From the Δ ABC
AC = Length of the slide = L
AB = 9 ft
°
From Δ ABC
Put all the value in the above formula
L = AC = 14.3 ft
Therefore the length of the slide he needs to make = AC = L = 14.3 ft
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches. The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.
