Answer:
The value of this investment at the end of the 5 years is of $662.5.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Dina invests $600 for 5 years at a rate of 2% per year compound interest.
This means that 
. Thus
Calculate the value of this investment at the end of the 5 years.
This is A(5). So
The value of this investment at the end of the 5 years is of $662.5.
The radius of the circle of the circle equation (x + 3/8)^2 + y^2 = 1 is 1 unit
<h3>How to determine the radius of the circle?</h3>
The circle equation of the graph is given as:
(x + 3/8)^2 + y^2 = 1
The general equation of a circle is represented using the following formula
(x - a)^2 + (y - b)^2 = r^2
Where the center of the circle is represented by the vertex (a, b) and the radius of the circle is represented by r
By comparing the equations (x - a)^2 + (y - b)^2 = r^2 and (x + 3/8)^2 + y^2 = 1, we have the following comparison
(x - a)^2 = (x + 3/8)^2
(y - b)^2 = y^2
1 = r^2
Rewrite the last equation as follows:
r^2= 1
Take the square root of both sides of the equation
√r^2 = √1
Evaluate the square root of 1
√r^2 = 1
Evaluate the square root of r^2
r = 1
Hence, the radius of the circle of the circle equation (x + 3/8)^2 + y^2 = 1 is 1 unit
Read more about circle equation at:
brainly.com/question/1559324
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Answer:
The following lines is perpendicular, y=-x+6 and y=x+1
Step-by-step explanation:
- Slope of parallel lines are equal
(ex. slope of 2 stays 2 )
- Slope of perpendicular lines to another is the negative reciprocal
(ex. slope of 2 becomes -1/2)
y = -x + 6 and y = x + 1
the slope for y = -x + 6 is <em>-1 (-1/1)</em>
the slope for y = x + 1 is <em>1</em>
the slope -1 is the negative reciprocal of 1
hence, the definition of perpendicular fits the given
Learn more about Perpendicular and Parallel Lines here: brainly.com/question/1202004
Because the 3 doesn't have a "letter" behind it. You would subtract the 3 first and all you would have left on the left side of the expression will be 9x. then on the other side of the expression you would subtract 3 from 27. So, 27 minus 3. After you get the answer from 27 minus 3, you will then divide that answer by 9. Then you have the answer or what "x" equals after you divide by 9.
