Answer:
the interest received is $957.03
Step-by-step explanation:
Given that
The invested amount is $10,000
There is 18 months
And, the interest rate is 6.25%
= (($10,000 × (1 + 6.25% ) × 0.0625 × 6 months ÷ 12 months)) + ($10,000 × 6.25%)
= $332.03 + $625
= $957.03
Hence, the interest received is $957.03
Answer:
See attached diagram
Step-by-step explanation:
Graph the solution of the inequality 
First, draw the dotted line 
(dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).
Graph the solution of the inequality 
First, draw the solid line 
(solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).
The intersection of both regions is the solution of the system of two inequalities.
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The quantity of lemonade Regan sold on Saturday is 11/4 gallons
<h3>How to solve fraction?</h3>
- Mark = 2 7/8 gallons
- Regan = 2/3 gallons as much as mark
Amount of lemonade Regan sold = 2 7/8 × 2/3
= 23/8 × 2/3
= 66 / 24
= 11/4 gallons
Complete question:
On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons did Regan sell?
Learn more about fraction:
brainly.com/question/14453317
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Answer:
42.6cm
Step-by-step explanation:
The sum total of all the sides of the shape is the perimeter of the shape. Hence;
Perimeter = x+3 + 4 + x+9 + 2x+5
Perimeter = 4x + 21
Given
Area of the figure = 75cm^2
Area = (x+3)(2x+5) + (2x+1)(6)
75 = 2x²+5x+6x+15+12x+6
75 = 2x²+23x+21
2x²+23x+21-75 = 0
2x²+23x-54 = 0
x = -23±√23²-4(2)(-75)/4
x = -23±√529+600/4
x = -12±√1129/4
x = -12+33.6/4
x = 21.6/4
x = 5.4
Recall that;
Perimeter = 4x+21
Perimeter = 4(5.4) + 21
Perimeter = 21.6+21
Perimeter = 42.6cm
Hence the perimeter is 42.6cm
