Chandra created a budget matrix based on her regular and expected expenses for the year. Expense Jan. Feb. Mar. Apr. May June Ju
2 answers:
Answer:
Chandra's Average Monthly Expenses are;
1) For Both Jan and Feb are $269
2) For the remaining 10 months each are $244
Step-by-step explanation:
From Chandra's matrix all monthly expenses are all same that is,
Cell phone $71, Rent $1,025, Gym $75, Internet $25, Auto insurance $425, Gas $ 120, Food $145. which are all the expenses carried out every month for 12 months.
That means Chandra carries out a total of 7 expenses for the month of January and February while she carried a total of 6 expenses for the remaining 10 month which was noted from the matrix that Auto insurance was carried out only in the month of January and February.
Therefore, you start by adding up each month total expenses, which are ;
January = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886
February = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886
March = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
April = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
May = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
June = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
July= $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
August = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
September = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
October = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
November = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
December = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461
Therefore Chandra's Average Monthly Expenses are:
1) January & February = =
= 269.4286 to the nearest cent
≅ $269
2) For the remaining 10 month are = =
= 243.5 to the nearest cent
≅ $244
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Answer:
City @ 2017 = 8,920,800
Suburbs @ 2017 = 1, 897, 200
Step-by-step explanation:
Solution:
- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:
0.94*p_c + 0.04*p_s = p_c'
0.06*p_c + 0.96*p_s = p_s'
- Assuming 6% moved while remaining 94% remained settled at the time of migrations.
- The matrix representation is as follows:
- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:
- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:
- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.
- Where,
- The population in 2017 x_2 would be:
<u>Given</u>:
Given that the side of the regular polygon is 16 feet.
We need to determine the area of the polygon.
<u>Area of the polygon:</u>
The area of the polygon can be determined using the formula,
where n is the number of sides,
s is the side length.
Substituting n = 3 and s = 16, we get;
Simplifying, we get;
Dividing, we get;
Rounding off to the nearest tenth, we have;
Thus, the area of the regular polygon is 110.9 square units.