Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula : 
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula :
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561
Two consecutive integers would be x and x+ 1
if you multiply them you have x(x + 1) = x^2 + x
if you want the product to equal 90 you get x^2 + x = 90
The first option is correct.
Because December is really cold
Answer:
14. 70% of 20000 is 14000. 25% of 14000 is 3500. 3500 students applied.
15. The percentage of 4000 that 2600 equates to would be 65%.
16. 4% of 33000 is 1320.
16b. Double of 1320 is 2640.
17. 3% of 110 + 275 + 200 + 145 is 21.9. 97% of that is 711.1. Total is 730.
18. There are 1656 men working. Total of 1380 + 1656 is 3036. Two ways to solve this are:
Honestly I can't think of two. Sorry, my brain is completely fried today.
19. 760 in sales commissions to meet the wage amount.
20. The agency gets 21010. 30% of that is 6303. This is explained by owning a calculator or simple value elimination.
