To solve for this, we need to find for the value of x
when the 1st derivative of the equation is equal to zero (or at the
extrema point).
So what we have to do first is to derive the given
equation:
f (x) = x^2 + 4 x – 31
Taking the first derivative f’ (x):
f’ (x) = 2 x + 4
Setting f’ (x) = 0 and find for x:
2 x + 4 = 0
x = - 2
Therefore the value of a is:
a = f (-2)
a = (-2)^2 + 4 (-2) – 31
a = 4 – 8 – 31
a = - 35
Answer:
<em>The car will worth $15815 after 5 years.</em>
Step-by-step explanation:
The formula is: 
, where P = Initial cost, A = Final cost, r = Rate of change in cost per year and t = Number of years.
Here, 
and 
As here the <u>value of the car depreciates every year, so we need to plug the value of 
as negative</u>. So, 
Now plugging the above values into the formula, we will get.....
<em>(Rounded to the nearest dollar)</em>
So, the car will worth $15815 after 5 years.
Answer:
(a)The amount of fuel in dollars = $1.62
(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45
Step-by-step explanation:
Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approximately 1.12 euros per liter.
1 USD = 0.69 euros
We have to find the money that we should pay in order to get the same amount of fuel.
1 euro = 
1 euro = $1.45
So 1.12 euros = 1.12
1.45 = $1.62
(a)The amount of fuel in dollars = $1.62
(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45
20/28 or 10/14 or 5/7
You can keep reducing until both sides of the fraction can't be divided by the same number anymore.
Answer:
60%
Step-by-step explanation:
There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket are orange show your work in the box and circle your answer
Total oranges in the basket = 20
Number of oranges = 12
what percentage of the pieces of fruit in the basket are orange
= Number of oranges / Total pieces of fruits × 100
= 12/20 × 100
= 0.6 × 100
= 60%
Percentage of the pieces of fruit in the basket that are oranges = 60%
