Answer:
The future value is $6,894.21
Explanation:
Giving the following information:
Dominic Joseph deposits $5,000 in a new savings account. The account pays 5.5 percent interest compounded annually.
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
PV= 5,000
i= 0.055
n=6
FV= 5,000*(1.055)^6= $6,894.21
chill, hope you make good friends
Answer:
A) R(x) = 120x - 0.5x^2
B) P(x) = - 0.75x^2 + 120x - 2500
C) 80
D) 2300
E) 80
Explanation:
Given the following :
Price of suit 'x' :
p = 120 - 0.5x
Cost of producing 'x' suits :
C(x)=2500 + 0.25 x^2
A) calculate total revenue 'R(x)'
Total Revenue = price × total quantity sold, If total quantity sold = 'x'
R(x) = (120 - 0.5x) * x
R(x) = 120x - 0.5x^2
B) Total profit, 'p(x)'
Profit = Total revenue - Cost of production
P(x) = R(x) - C(x)
P(x) = (120x - 0.5x^2) - (2500 + 0.25x^2)
P(x) = 120x - 0.5x^2 - 2500 - 0.25x^2
P(x) = - 0.5x^2 - 0.25x^2 + 120x - 2500
P(x) = - 0.75x^2 + 120x - 2500
C) To maximize profit
Find the marginal profit 'p' (x)'
First derivative of p(x)
d/dx (p(x)) = - 2(0.75)x + 120
P'(x) = - 1.5x + 120
-1.5x + 120 = 0
-1.5x = - 120
x = 120 / 1.5
x = 80
D) maximum profit
P(x) = - 0.75x^2 + 120x - 2500
P(80) = - 0.75(80)^2 + 120(80) - 2500
= -0.75(6400) + 9600 - 2500
= -4800 + 9600 - 2500
= 2300
E) price per suit in other to maximize profit
P = 120 - 0.5x
P = 120 - 0.5(80)
P = 120 - 40
P = $80
D) Haven't been presented to the bank for payment but have been subtracted in the checkbook
Answer:
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- <u><em>Law of demand</em></u>
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Explanation:
Indeed, the <em>law of demand </em>is that the price and quantity demanded are inversely related. <em>Ceteris paribus</em>, the economist say. It is a latin expression that means "<em>other things equal</em>".
As the resources are, per definition, scarce, the consumers, ecomomic agents who buy the products, need to allocate the money among the different goods and services that the market puts at their disposal.
And they allocate the resources in a intelligent way: they "calculate" the utility of each product considering the cost. If the price increase, the ratio of utility to cost decreases and the consumer will diminish the quantity demanded for that good. If the price decrases, the utility to cost ratio increases and the quantity demanded will increase.
