Answer:
b = (5±√17)/4 ≈ {0.2192, 2.2808}
Step-by-step explanation:
The average on the interval is found from the integral ...
We want the value of this integral to be 5, so we want to find b such that ...
5 = -2b^2 +5b +4
2b^2 -5b +1 = 0
b^2 -5/2b = -1/2
b^2 -5/2b +25/16 = -1/2 +25/16
(b -5/4)^2 = 17/16
b = (5±√17)/4
The average value of f(x) is 5 on the intervals ...
[0, (5-√17)/4] and [0, (5+√17)/4]
Answer:
<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>
Step-by-step explanation:
<u>Simple Interest</u>
In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.
We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:
Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:
The interest is then calculated:
Mrs. Adams will earn $3,120 of interest at the end of year 8.
Answer:
The number of cars that brings the same profit is 9 and 0
Step-by-step explanation:
Given
Required
Determine the possible values of x
Subtract 5x from both sides
Factorize
Split the equation
or
or
<em>Hence, the number of cars that brings the same profit is 9 and 0</em>