Let x be the amount invested at 7% and y the amount invested at 6%
We know that the yearly interest earned = 0.07(x) and 0.06(y)
x+y =4500
0.07x +0.06 y =290
Solving the equations will give , x = $2,000 and y=$2,500
5 ft = 5 * 12 in = 60 inches
Four consecutive even numbers are: x, x + 2, x + 4, x + 6
x + x + 2 + x + 4 + x + 6 = 60
4 x + 12 = 60
4 x = 60 - 12
4 x = 48
x = 48 : 4
x = 12
Answer:
Those shelves should be: 12, 14, 16 and 18 inches long.
Verification: 12 + 14 + 16 + 18 = 60 in = 5 ft.
Answer:
1. Multiply the value of the first variable by one of the original equations to solve for the second variable.
2. Solve for one of the variables.
3. Substitute the value of the known variable into one of the original equations to solve for the unknown variable.
Step-by-step explanation:

<h2>
Explanation:</h2>
The Point-Slope form of the equation of a line is given by:

To find the equation of the line tangent to
, we need to take the derivative:

The slope of the line tangent to
at
can be found evaluationg
in the derivative:

Finding the point:

Finally, our line is:

The representation of this problem is shown below.
<h2>Learn more:</h2>
Derivative of functions: brainly.com/question/2142425
#LearnWithBrainly
Answer:
the answer is 2.4 million
Step-by-step explanation:
In order to find the rate of change, you first must find the amount that the population grew in the time period:
314-302 = 12
Now you need to calculate the number of years:
2012-2007 = 5
Lastly, divide the amount of change by the number of years:
12/5 = 2.4
The population grew by 2.4 million people per year. Hope this helps! :)