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Find Diameter :
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Circumference = πD
πD = 12π
D = 12
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Find Radius :
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Radius = Diameter ÷ 2
Radius = 12 ÷ 2
Radius = 6
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Find Area :
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Area = πr²
Area = π(6)²
Area = 36π or 113.10 units² (nearest hundredth)
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Answer: Area = 113.10 unit²
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Answer:
y=-11.88x-39.93
Step-by-step explanation:
Plot the data
on the coordinate plane using graphing calculator. Then use linear approximation y=ax+b and determine that a=-11.88, b=-39.93.
The line that best fits these data is
Suppose the company invests x of their surplus in the 5% rate (and thus 40000-x has 6.5%). Then we have that 5%*x+(40000-x)6.5%=6.25%*40000.
We have that solving this, 5%* x+40000*6.5%-6.5%*x =6.25%* 40000 Accumulating terms, 1.5%*x=0.25%*40000 x=40000/6= 6666.67$. We see that if we invest 6666.67$ at 5%, we get exactly the given rate. If we invest more, we obviously get less. Hence, we have that the company has to invest at 6.5% more than 40000-6666.67=33333.33$
The decimal value of 4/11 is 0.36 repeating.
X + y = 4200 so x = 4200 - y
0.035x + 0.045y = 174
substitute x = 4200 - y into 0.035x + 0.045y = 174
0.035x + 0.045y = 174
0.035(4200 - y) + 0.045y = 174
147 - 0.035y + 0.045y = 174
0.01y = 27
y = 2700
x + y = 4200
x = 4200 - 2700
x = 1500
answer
$1500 in <span>3.5%
$2700 in 4.5%</span>
