Answer:
The Industrial Revolution shifted from an agrarian economy to a manufacturing economy where products were no longer made solely by hand but by machines. This led to increased production and efficiency, lower prices, more goods, improved wages, and migration from rural areas to urban areas.
You'll apply the geometric mean formula. The idea is to multiply the two pieces of the hypotenuse: 5*11 = 55
Then apply the square root to get sqrt(55)
The exact answer in terms of radicals or square roots is sqrt(55)
Using a calculator, the approximate answer is sqrt(55) = 7.416198
If your teacher wants you to use a proportion, then one way to do it is to have
11/y = y/5
11*5 = y*y
55 = y^2
y^2 = 55
y = sqrt(55)
y = 7.416198 approximately
What is the cost of the bond?
When you see that a bond was purchased "at 92", this means that the bond was purchased for 92% of the face value. Sometimes the bond purchaser will pay more than the face value (purchased a number greater than 100), generally if the interest rate is higher than the market rate.
The cost of one bond, then, is 92% of 1,000, or $920.
Since there are 6 bonds, the total cost is 920 x 6 = $5520
What is the total annual interest?
The annual interest is the interest rate on the bond times the face value (not the cost of the bond).
The interest rate is 6.5%, so the annual interest on one bond is:
6.5% x 1000 = $65
6 bonds: $65 x 6 = $390
When we think of yield, we want to consider the real return on the bond. This is the annual interest earned divided by what the purchaser paid for it.
The purchaser paid $5520 for the bonds, and is earning $390.
390 ÷ 5520 = 7.06%.
Note that we can also calculate the return on one bond, rather than the total cost and interest of 6 bonds, and get the same result.
65 ÷ 920 = 7.06%
Step One
Find the cost of one bottle
12 bottles cost 9.25 pounds.
1 bottle costs x
12 / 1 = 9.25/x Cross multiply
12*x = 1 * 9.25 Divide by 12
x = 9.25 / 12
x = 0.77
Remark
0.77 pounds sterling = 77 pennies
Step Two
find the profit on the sale of one bottle
100 - 77 = 23 pennies
Step Three
Find the % profit on one bottle.
% Profit = (profit on one bottle / Cost of 1 bottle.) * 100%
% Profit = (23 / 77) * 100
% Profit = 29.87% <<<<<<<< Answer.
