Answer:
a-1) Pv = 52549
a-2) Pv = 56822
b-1) Fv = 77570
b-2 Fv = 83878
Explanation:
b-1) Future value:
S= Sum of amount of annuity=?
n=number of fixed periods=5 years
R=Fixed regular payments=13200
i=Compound interest rate= .081 (suppose annualy)
we know that ordinary annuity:
S= R [(1+i)∧n-1)]/i
= 13200[(1+.081)∧5-1]/.081
=13200(1.476-1)/.081
= 13200 * 5.8765
S = 77570
a.1)Present value of ordinary annuity:
Formula: Present value = C* [(1-(1+i)∧-n)]/i
=13200 * [(1-(1+.081)∧-5]/.081
=13200 * (1-.6774)/.081
=13200 * (.3225/.081)
=52549
a.2)Present value of ordinary Due:
Formula : Present value = C * [(1-(1+i)∧-n)]/i * (1+i)
= 13200 * [(1- (1+.081)∧-5)/.081 * (1+.081)
= 13200 * 3.9822 * 1.081
= 56822
b-2) Future value=?
we know that: S= R [(1+i)∧n+1)-1]/i ] -R
= 13200[ [ (1+.081)∧ 5+1 ]-1/.081] - 13200
= 13200 (.5957/.081) -13200
= (13200 * 7.3544)-13200
= 97078 - 13200
= 83878
Answer:
2
Explanation:
As a result of the weather, the demand for chocolate increases. the demand curve shifts to the right. there is an increase in equilibrium price and quantity
As a result of the channels closing, the supply of imported cocoa falls. As a result, supply decreases. the supply curve shifts to the left
We may understand criminal behavior and thus be able to prevent crime.
I think he felt that skin was attributable to climate and did not affect one's intelligence, character and personality so he was not a racist. While areas of the world like Latinamerica and Africa for example have many people with brown or black skin, they are every much as capable as people from more northern climates with white skin. The fact that, for example the Latin american areas had advanced civilizations like the Incas and Aztecs, the former with 1000's of kilometers of roads tying their empires together and the Aztecs with their monumental temples and both with advanced agriculture based on astronomical observations shows this is the case.