Fill in the missing number: (6)(___) = 1 0 6 -6 1/6
1 answer:
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Answer:
15,267
Step-by-step explanation:
To solve this problem, lets use the exponential growth formula which is:
A = total amount
P = original amount
r = growth rate (decimal)
t = years
<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>
3.5% -> -> 0.035
Lets plug in the values:
The population after 7 years will be 15,267.
Answer:
Cost of one pencil:
Cost of one eraser:
Step-by-step explanation:
Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.
Based on the information given in the exercise, you can set up the following system of equations:
You can use the Elimination Method to solve the system of equations.
Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":
{
Substitute the value of "e" into any original equation and solve for "p":
Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently