Answer:
k = 3.
Step-by-step explanation:
By the Factor Theorem. if x+a is a factor of f(x) then f(-a) = 0.
Here we use f(-1):
f(-1) = (-1)^3 + 2(-1) + k = 0
-1 - 2 + k = 0
k = 3.
A) The first one equals to 5
Step by step:
Change all denominators to 28, what you do to the bottom you do to the top.
After adding simplify.
Answer:
<u>Equation: V = C * (1 - r)^t</u>
<u>Answer: $ 8,066.37</u>
Step-by-step explanation:
Let's recall that depreciation on a car can be determined by the formula:
V = C * (1 - r)^t , where:
V is the value of the car after t years,
C is the original cost
r is the rate of depreciation
t is the number of years of utilization of the car
Therefore, we have:
V = C * (1-r)^t
V = 15,500 * (1 - 0.07)⁹
V = 8,066.37 (rounding to the next cent)
Answer:
1560
Step-by-step explanation:
The rate of Increase of the population (P) of the bacteria is given as:
Where k is a constant of Integration.
At t=0, P(t)=36
Therefore:
Answer:
If you add 690 ml of water you will obtain 1.690 liter of 70% alcohol. Of course if you halve the amounts, e.g. 0.5 liter 75% alcohol and 345 ml of water, you will also obtain 45% alcohol solution.
