Answer:
(i) $133.12
(ii) $297.6
(iii) $300.8
(iv) $301.6
Explanation:
From the compounding formula;
Future value = Present value 
where r is the rate, m is the number of payment per year, and n is the number of years.
Interest = future value - present value
Given that present value = $800, r = 8%, n = 4 years.
(i) annually,
m = 1, so that;
Future value = 800
= $933.12
Interest = $933.12 - $800
= $133.12
(ii) quarterly,
m = 3, so that;
Future value = 800
= 800(1.372)
= $1097.6
Interest = $1097.6 - $800
= $297.6
(iii) monthly,
m = 12, so that;
Future value = 800
= 800(1.376)
= $1100.8
Interest = $1100.8 - $800
= $300.8
(iv) weekly,
m = 54, so that;
Future value = 800
= 800(1.377)
= $1101.6
Interest = $1101.6 - $800
= $301.6
Answer:
PV= $9,626.49
Explanation:
Giving the following information:
Cash flow= $1,500
Interest rate= 9%
Number of years= 10
First, we will determine the future value, using the following formulas:
FV= {A*[(1+i)^n-1]}/i
A= cash flow
FV= {1,500*[(1.09^10) - 1]} / 0.09
FV= $22,789.395
Now, the present value:
PV=FV/(1+i)^n
PV= 22,789.395/(1.09^10)
PV= $9,626.49
Coupon rate is the yearly interest earned by a loan and it can be calculated with

where i is the annual interest and p is the par value of the bond or the initial loan amount.
For this particular case, since the semiannual payment is $28.50, then the annual payment is 2 x 28.50 = $57.00.
Thus, we have

From this, the coupon rate is 0.057 x 100% = 5.7%.
Answer: 5.7%
Answer:
Christiaan Huygens
Explanation:
Christiaan Huygens was a Dutch physicist with many credits and inventions some of which is the pendulum clock and production of many telescopes. He is also credited as the father of theoretical physics being the first to make use of formula in physics. His wave theory of light was controversially not widely regarded because of Isaac Newton's earlier theory on corpuscular theory of light.
He published his work on the wave theory of light in the book called Treatise on Light in 1690 which was then seen as the opposite of what Newton (who was already wildly famous) had proposed.