Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
Answer:
The approximate are of the inscribed disk using the regular hexagon is 
Step-by-step explanation:
we know that
we can divide the regular hexagon into 6 identical equilateral triangles
see the attached figure to better understand the problem
The approximate area of the circle is approximately the area of the six equilateral triangles
Remember that
In an equilateral triangle the interior measurement of each angle is 60 degrees
We take one triangle OAB, with O as the centre of the hexagon or circle, and AB as one side of the regular hexagon
Let
M ----> the mid-point of AB
OM ----> the perpendicular bisector of AB
x ----> the measure of angle AOM

In the right triangle OAM

so

we have

substitute

Find the area of six equilateral triangles
![A=6[\frac{1}{2}(r)(a)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7D%28r%29%28a%29%5D)
simplify

we have

substitute

Therefore
The approximate are of the inscribed disk using the regular hexagon is 
Basically what you do is (the ^ arrow meaning exponent)
You take 3.7 + 4.45 x 10^20
Then 8.15 x 10^20, remove the decimal of 8.15 = 815 x 10^-2 x 10^20
815 x 10^18 = <span>815000000000000000000</span>
Answer:
the correct answer is 4
Step-by-step explanation:
y = x^2 + x - 5
y = 4^2 + 4 - 5
y= 16 + 4 -5
y = 15