Answer:
there are 59 nickels, 12 quarters, and 213 dimes
Explanation:
- let n = nickels
- let q = quarters
- let d = dimes
first step:
d = 3 (n + q) = 3n + 3q
d + n + q = 284
0.10d + 0.05n + 0.25q = 27.25
second step:
3n + 3q + n + q = 284
0.10 (3n + 3q) + 0.5n + 0.25q = 27.25
third step:
4n + 4q = 284
0.3n + 0.3q + 0.05n + 0.25q = 27.25
fourth step:
n + q = 71
0.35n + 0.55q = 27.25
fifth step:
replace q = 71 - n
0.35n + 0.55(71 - n) = 27.25
sixth step:
0.35n + 39.05 - 0.55n = 27.25
seventh step:
11.8 = 0.2n
eighth step:
n = 59
q = 71 - 59 = 12
d = 284 - n - q = 284 - 59 - 12 = 213
Answer:
The three scenarios describe a competitive market.
Explanation:
1) In the competitive market buyers and sellers are price takers, this means that there are many producers and consumers and none of them are able to intervene in price and market. Price is given, ie price is determined by interaction in the market. 2) The products are identical. That is, no company will make a profit due to differentiated products. In perfect competition, companies produce identical products, and the consumer is indifferent to the product characteristics of each company. 3) There is free entry and exit of companies and factors of production, ie there is no cost to enter and exit any sector. This means that factors can migrate from one sector to another without incurring costs, meaning there are no barriers to entry and exit from any sector.
Thus, from items 1 and 2, consumers and buyers are price takers, that is, they cannot influence the price determined by the market. Item 3 is about achieving zero profit or normal long-term profit. This is because the free entry and exit of companies avoids extraordinary profits by encouraging companies to migrate to sectors that earn higher profits in the short term. Thus, in perfect competition, compa
Answer:
The price elasticity of demand for the students is:
inelastic.
Explanation:
The price elasticity of demand for the students is inelastic because there is no change in the quantity demanded by students that changes the price at which pizza is sold to the students. If one student buys the pizza, the price charged remains $10 and if 1,000 students buy the pizza, the price remains $10 per unit. Therefore, students' demand for the pizza is said to be static irrespective of price because the price is fixed.
Answer:
1) FV =7012.76
2) FV =26408
3) FV ==61565.31
4) FV =18416.24
Explanation:
The formula used for calculation of future value for given present investment is given as
FV = PV ( 1 + I )ⁿ
1) for PV = 5000, n = 5 year, I = 7%
FV = 5000*(1.07)^5
FV =7012.76
2) for PV = 7200, n = 15 year, I = 9%
FV= 7250*(1.09)^15
FV =26408
3) for PV = 9000, n = 33 year, I = 6%
FV= 9000*(1.06)^33
FV ==61565.31
4) for PV = 12000, n = 8 year, I = 5.5%
FV = 12000*(1.055)^8
FV =18416.24
