General term of a geometric sequence is
a(n)=a(1)×r^(n-1)
a1=5
a2=5×6=30
a3=5×6²=180
a4=5×6³=1080
Answer:
let length be l
breadth=l-10m
area of rectangular park=236m²
Step-by-step explanation:
area of rectangular park=236m²
l×(l-10)=236
l²-10l-236=0
l²-2.l.5+5²-236-5²=0
(l-5)²-236-25=0
(l-5)²=261
(l-5)=√261
(l-5)=16.15
l=16.15+5=21.15
b=l-10=21.15-10=11.15
Answer:
Step-by-step explanation:
Reasoning A store sells packages of comic books with a poster. A poster and 5 comics cost $13.99. A poster and 12 comics cost $20.99. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar package, modeled by a linear function rule with initial value $. Use pencil and paper. Explain which store has the better deal. The linear function rule is y nothing.
Answer:
The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
Step-by-step explanation:
Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (
) after a certain amount of years (t) is given by the following formula:
Where:
- Initial amount of jobs in pipe fitting industry, measured in thousands.
- Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)
If 
, 
and 
, then:
The percent change in jobs from pipe fitting industry is calculated as follows:
The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128
The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.
Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.
The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
