a negative times a negative = a positive
so (a * b) + c = 12
(-2 * -3) +6 = 12
6+6 = 12
Answer:
x = ln (33)
------------
3 ln (2)
Step-by-step explanation:
2 ^ (3x) = 33
Take the ln of each side
ln ( 2 ^ (3x)) = ln 33
We know ln ( a^b) = b ln a
3x ln (2) = ln 33
3x = ln 33
------------
ln 2
Divide each side by 3
x = ln (33)
------------
3 ln (2)
1) 8/3
2) 21/5
3)1/16
4)9/8
5)9.07
6)5.26
7)0.2822
8)0.024
9)41.2
10)8400
Answer:
Linear Equation: P = 0.008T + 0.13
Price of stamp in 2015 = $0.45
Step-by-step explanation:
From 1975 to 2005 [30 years], the price increased from 0.13 to 0.37 [0.24].
This means the rate of change (slope) is 0.24/30 = 0.008
This means Price changed (increased) by $0.008 per year.
Slope = 0.008
The y-intercept (P) is at the starting point which is at T = 1975, the price was 0.13. Hence y-intercept is 0.13
The equation of a line is given as
P = mT + b
Where m is the slope and b is the y-intercept
Now, we can write the linear model equation as:
P = 0.008T + 0.13
To find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above:
P = 0.008(40) + 0.13
P = $0.45