Answer:
1,2,4
Step-by-step explanation:
1: The temperature should be decreasing in an exponential rate as the coffee is hot
2: radioactive element should keep decreasing over years
3: should be increasing rate
4: 'popularity is declining' indicates it's a decay
5: 'growing community' indicated it's increasing
The sum of the inside angles of a 6 sides figure is 720
Add the known angles together:
90 + 112 + 131 + 154 + 118 = 605
Subtract the sum of the known angles from 720 for x:
x = 720 - 605 = 115
x = 115 degrees.
Answer:
v(0) = 32,000 . . . dollars
v(13) = 16,427 . . . dollars
Step-by-step explanation:
The initial value is the value of the function for t=0. Put that into the formula and evaluate.
v(0) = 32,000(0.95^0) = 32,000 . . . . dollars
__
The value after 13 years is the function value for t=13. Put that into the formula and evaluate.
v(13) = 32,000(0.95^13) ≈ 32,000·0.513342 ≈ 16,427 . . . . dollars
12+8y you have to do like terms and the distributive property of 2(y+1)
8a - 4 = 25 + 6 (a - 8)
(distribute the 6)
8a - 4 = 25 + 6a - 48
(combine like terms 25 - 48)
8a - 4 = 6a - 23
( subtract 6a from both sides)
2a - 4 = -23
(add 4 to both sides)
2a = -19
(divide both sides by 2)
a = - 9.5
////CHECK/////
8 (-9.5) - 4 = 25 + 6 ( -9.5 -8)
(plug each side into a calculator)
-80 = -80
FINAL ANSWER:
a = -9.5
