<span>0.176 = 176⁄1000</span>
<span>Simplify 176⁄1000 = 22⁄125</span><span> </span>
Answer:
Given:
x+y=5, and
x=3
explanation:
Substituting the value of x in the given equation, we get
3+y=5
⇒y=2Step-by-step
You have to use these facts:
1) The derivative of a sum is the sum of the derivatives
2) d[x^n] / dx = n x ^ (n - 1)
3) d [a(f(x) ] / dx = a d [f(x)] / dx
=> d [x^3 + 3x^2 + 5] / dx = d[x^3]/dx + 3d[x^2]/dx + 0
= 3x^2 + 6x
Answer: option D. 3x^2 + 6x
Answer:
9, 30, 27
Step-by-step explanation:
To find the perimeter, you must add up each side. In this scenario, we know that the perimeter is 66 feet. We also know the sides, which are n, 3n+3 and 4n-9.
So, we must add the sides to get 66 feet.
n+3n+3+4n-9=66
Combine like terms, and solve:
(n+3n+4n)+(3+-9)=66
8n+-6=66
8n-6=66
n=9
So if n=9, we can easily find the value of the other sides.
3(9)+3=30 feet.
4(9)-9=27 feet
So, the sides are 9, 30, and 27 feet (in order).
So for this, you'll be using an exponential equation, which is y=ab^x (a = initial value, b = growth/decay).
Since you start off paying your friend $1, that will be your initial value. And since this is a 50% increase, you are to add 1 and 0.5 together (50% in decimal form), which is 1.5. That will be your b variable. And since # of days is the independent variable, that will be your x variable.
Using the previous info, this is our equation: y = 1(1.5)^20 . From here we can solve for the total cost (y).
Firstly, solve 1.5^20: y = 1(3325.26)
Next, multiply everything on the right side of the equation, and your answer will be (rounded to the hundreths): y = 3325.26
In context, at the end of the 20 days, you have to pay your friend $3325.26.