Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...

We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
Answer:
a^2b(7 + 10b + 14b^2)
Use wolframalpha for math questions, or photomath!
To solve this, factor out a^2b from the expression.
-(3x - 2) = -4(x + 1) - 4
-3x + 2 = -4x - 4 - 4
-3x + 4x = -4 -4 - 2
x = -10 answer
Answer:
Step-by-step explanation:
A signed number means that the number uses a plus or minus sign in front of it.
A
Her account will get 200 dollars larger so you will use + 200
B
The temperature is 12 degrees below zero (cold!!!) so you will write - 12