Answer:
Each person pays $12.
Step-by-step explanation:
$10 + $2 = $12
Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.
The rate of change <u>from x = 0 to x = 2</u> is given by:

From <u>x = 2 to x = 4</u>, it is given by:

The average of these rates is:

Hence, the best estimate of f '(2) based on this table of values is of 10.
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Answer:
Step-by-step explanation:
absolute(5x + 6) = x
There are 2 solutions to this
Solution 1
5x + 6 = x Subtract 5x from both sides.
5x - 5x + 6 = x - 5x
6 = - 4x Divide by - 4
6/ - 4 = -4x / -4
x = - 1.5
Solution 2
5x + 6 = - x
6 = -x - 5x
6 = - 6x
x = 6/-6
x = - 1
Here is a graph which shows the solutions.
Answer:
- 7% interest = $10,000
- 13% interest = $20,000
Step-by-step explanation:
First find out what an 11% return on $30,000 is.
= 11% * 30,000
= $3,300
Use simultaneous equations.
Assume the amount to be invested in to make a 7% interest is x and the amount for a 13% interest is y.
0.07x + 0.13y = 3,300
x + y = 30,000
y = 30,000 - x
0.07x + 0.13 (30,000 - x) = 3,300
0.07x + 3,900 - 0.13x = 3,300
0.07x - 0.13x = 3,300 - 3,900
-0.06x = -600
x = -600 / -0.06
x = $10,000
y = 30,000 - x
= 30,000 - 10,000
y = $20,000
8^13
The exponent is increasing by 3