Answer:
a. $4.48¢
b. 9,967 people
ci. Multiplier: F = 25 × (1.09)^t
cii. Percent increase = 9.15%
Step-by-step explanation:
a. The equation we are going to use to calculate the future cost of bread in 5 years:
P = F/(1+r)^t
Where P is current cost, F = future cost(what we are required to calculate), r = percentage increase per year, t = time (years).
Where P = 2.75
r = 5/100 or 0.05
t = 10
F = ?
Substituting appropriately, we have:
2.75/1 = F/(1+0.05)^10
We then cross multiply
F = 2.75 × (1+0.05)^10
F = 2.75 × (1.05)^10
F = 2.75 × 1.62889
F = $4.48¢
Therefore, the bread will cost $4.48 in 10 years.
b. Here population is 42,000 people now. There's predicted 25% decrease in population every year for the next 5years. We are to calculate the expected population in 5 years. The equation that can be used to calculate the expected population:
P = F/(1 - r)^t
F = future population
P = present population
r = percentage of decrement
t = period.
Here P = 42,000
r = 25/100 = 0.25
t = 5
F = ?
Substituting accordingly:
42000 = F/(1 - 0.25)^5
Cross multiply
F = 42000 × [(1 - 0.25)^5]
F = 42000 × 0.2373
F = 9,967
The population in the next 5 years will decrease to 9,967 people.
c. Share of orange stock = $25 in the year 2000
The same share = $60 in 2010, we are required to determine the multiplier and percent increase.
Since the future value = $60, the present value = $25, the time = 2010 - 2000 = 10 years. Then we can use the formula:-
F = P × (1 + r)^t
60 = 25 × (1 + r)^10
(1 + r)^10 = 60/25
(1 + r)^10 = 2.4
1 + r = 10√2.4
1 + r = 1.0915
r = 1.0915 - 1
r = 0.0915
r = 9.15%
Therefore the multiplier is:
F = 25 × (1.09)^t
The percent increase = 9.15%
. For us that will look like this: 
. First we will simplify as much as possible that very long numerator there. It simplifies to 
. What you do now is use long division of polynomials, which, unfortunately, is impossible to show in this forum. However, get familiar with the long division process if you are not already, and you will find that your polynomial g(x) is 
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