1 answer:
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Answer:
3y = -2x -7
Step-by-step explanation:
The equation of the line;
y = x + 8
Unknown:
Equation of the line passing through (4, -5);
Solution:
To solve this problem;
the equation of a line is given as;
y = mx + c
where x and y are the coordinate
m is the slope
c is the intercept
To solve this problem,
The slope if the same as that of the new line since they are parallel;
Equation of the new line;
x = 4 and y = -5
-5 = x 4 + c
-5 = + c
c = -5 +
c =
So, the equation of the line is;
y = x -
or ;
3y = -2x -7
Answer:
The amount invested at 4% per year was $3,000
The amount invested at 4.5% per year was $6,000
The amount invested at 2.5% per year was $1,000
Step-by-step explanation:
Let
x -----> the amount invested at 4% per year
2x ----> the amount invested at 4.5% per year
10,000-3x -----> the amount invested at 2.5% per year
we know that
The interest earned by the amount invested at 4% per year plus the interest earned by the amount invested at 4.5% per year plus the interest earned by the amount invested at 2.5% per year must be equal to $415
so
Solve for x
therefore
The amount invested at 4% per year was $3,000
The amount invested at 4.5% per year was $6,000
The amount invested at 2.5% per year was $1,000
Answer:
Step-by-step explanation:
<u>Given Data:</u>
Circumference = C = 443 ft
<u>Required:</u>
Diameter = d = ?
<u>Formula:</u>
d = C / π
<u>Solution:</u>
d = 443 / 3.14
d = 141.0 feet
d = 141 feet
Hope this helped!
<h3>~AH1807</h3>