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:
Step-by-step explanation:
We have pairs (5, 2550) and (8, 3300)
<u>Find the rate of change:</u>
- (3300 - 2550)/(8 - 5) =
- 750/3 =
- 250
$250 is the amount added to savings account every month
<u>Initial amount was:</u>
- 2550 - 5*250 =
- 2550 - 1250 =
- 1300
<u>Since the change is linear and we have y-intercept and slope, we can show the amount after x months as:</u>
Answer:
20 degrees
Step-by-step explanation:
A triangle's angles should 180 degrees added together, so 90 + 70 = 160, leaving 20 for the last angle.
<h2>Hello!</h2>
The answer is:
When the domain is -3, the range is -13.
<h2>Why?</h2>
To solve the problem, we need to remember that the domain is also known as the input of the function, and the range of the function is also known as the output of the function.
We are given the inputs and we are asked to calculate the output of the function at -3, so, evaluating -3 into the function, we have:
Hence, we have that when the domain is -3, the range is -13.
Have a nice day!
Answer:14
Step-by-step explanation:
Well for the answer you just answer the opposite of the question
