0.4% of $4,800 is $19.2, otherwise written as $19.20 in terms of money, apparently. This is based off the calculations of a calculator, though if you prefer to do the rough work, be my guest. The work for finding it on raw work is below.
(EX.) EQUATION : y = p% × x
EQUATION : y = 0.4% × 4800
To make this work, you gotta convert that percent into a decimal, by dividing the percentage by 100. 0.4 ÷ 100 = 0.004
EQUATION : y = 0.004 × 4800.
Once you multiply them, you get : 19.2 (otherwise known as $19.20)
Consider c as the cost of the widget so that our given equation is
c = 0.1w^2 + 20w
Take the derivate of the equation.
d/dt (c = 0.1w^2 + 20w)
dc/dt = 0.2w + 20
Given dc/dt = $16000 per month, the number of widgets would contain:
16000 = 0.2w + 20
-0.2w = 20 - 16000
-0.2w = -15980
w = 79900 widgets
The distance between the points is 10.4
The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 ×
+ 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 ×
+ 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 ×
+ 3 × 2³ -
)
Collect the like terms with a base of 2.
2(
+ 3 × 2³)
Evaluate the power of 2³.
2(
+ 3 × 8)
Evaluate the power of
.
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)