7n^2 + 5 = 453
Subtract 5 from both sides:
7n^2 = 448
Divide both sides by 7:
N^2 = 64
Take the square root of both sides:
N = 8
Answer:
$35.10
Step-by-step explanation:
Answer:
280.6 
Step-by-step explanation:
<u>find the length of each side:</u>
you're only given h = 9 m
the formula for h is 
, where a is a side length of the hexagon
plug h in:
a ≈ 10.392 m
<u>now find the area of a triangle:</u>
1/2 (10.392)(9) = 46.764
multiply that by 6 and you get 280.584 ≈ 280.6
you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: 
The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
I = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest.
Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x.
The linear equation that would represent the given scenario is,
x(0.035) + (5800 - x)(0.055) = 283
Simplifying the equation,
0.035x + 319 - 0.055x = 283
Combining like terms,
-0.02x = -36
Dividing by -0.02,
x = 1800
$5800 - x = $5800 - $1800 = y
y = $4000
Hence, the value that should be deposited to the 5.5% is $40000.
