4500 times 5% per year for 3 years = (4500*.05)*3 = answer 1
4500 times 5% per year for 4 years = (4500*.05)*4 = answer 2
Answer 2 minus answer 1 = jackpot
Answer:
7.21 units
Step-by-step explanation:
GIven data
Point 1= (8,3)
x1= 8
y1= 3
Point 2= (2,7)
x2= 2
y2= 7
The expression for the distance between two points is given as
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((2-8)²+(7-3)²)
d=√((-6)²+(4)²)
d=√36+16
d=√52
d= 7.21
Hence the distance between the points is 7.21 units
Answer:
- x ≥ 2009
- 3.2x -6222.8
- 257.2 mm
- year 2100
Step-by-step explanation:
1. The problem statement tells you the function applies for year values (x) 2009 and later. The domain is real numbers greater than or equal to 2009.
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2. We can use the distributive property to eliminate parentheses:
3.2(x -2009) +206 = 3.2x -6428.8 +206
= 3.2x -6222.8
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3. Put 2025 in the equation and do the arithmetic
g(2025) = 3.2·2025 -6222.8 = 257.2 . . . . mm
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4. Put this value of level rise in the equation and solve for x.
g(x) = 3.2x -6222.8
500 = 3.2x -6222.8 . . put 500 mm where g(x) is in the equation
6722.8 = 3.2x . . . . . . . add 6222.8
x = 6722.8/3.2 = 2100.875
The water rise will be equal to about half a meter late in the year 2100.
This is a GEOMETRIC sequence as each number is being multiplied by 1/4
