13: Since f(1)=10, the sequence must start with 10. We have only one sequence starting with 10, and indeed it verifies f(n+1)=f(n)-2, i.e. the next term is 2 less than the previous one.
14: If y varies directly with x, then there is a constant of variation k such that
In your case, F varies directly with m, with a constant of variation of 32.2, so we have
Here is a really great 4 minute video that should help alot!
https://www.khanacademy.org/math/geometry-home/congruence/theorems-concerning-parallelogram-properti...
Answer:
x=40° and y=50°
Step-by-step explanation:
45°+50°+2x+5=180°
100°+2x=180<-- subtract 100 to get x on one side
2x=80
x=40. Thus 2(40)+5 = 85.
85°+55°+x°=180
140°+x=180
x=40°
40°+90°(right angle)=130°, so 180 -130 would equal 50.
y=50°
Answer:
$1800
Step-by-step explanation:
1. Approanch
An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.
2. Solving
Original salary; 1500
Raise; 20%
<u>a. convert the raise as a percent into a decimal, then add 1</u>
20% = 0.2
0.2 + 1 = 1.2
<u>b. multiply the number by the original salary</u>
1.2 * 1500
1800
You must know that % is a number out of 100.
Therefore given 91/100 trusted DNA surveying, we know as a percentage this is 91% from the equation below:
(91/100)*100=91
We can conclude that 1%=1 person.
Although the difference is only 1 (91-90=1), the actual proportion of people who trust DNA testing is larger than the 90% by 1%.
