Answer:
Instructions are listed below
Explanation:
Giving the following information:
At the end of each year, she invests the accumulated savings ($1,825) in a brokerage account with an expected annual return of 8%. She will invest for 45 years.
A) We need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
FV= {1825[(1.08^45)-1]}/0.08= $705,372.75
B) n= 25
FV= {1825[(1.08^25)-1]}/0.08= $133,418.34
C) FV= 705,372.75 A=?
We need to isolate A:
A= (FV*i)/{[(1+i)^n]-1}
A=(705,372.75*0.08)/[(1.08^25)-1]
A= $9,648.64
Answer:
When the price of good y increases by 10% it will result in the quantity demanded of x to increase by (0.6*10) =6%. The current quantity demanded of good x is 10 so a 6% increase will mean the quantity demanded of x will be (1.06*10)= 10.6
Explanation:
The cross elasticity of goods x and y is 0.6, which means that a one percent increase in price of good y will increase the demand for good x by 0.6%, this means that x and y are substitute goods, as when the price of y increases people tend to buy more of x.
When the price of good y increases by 10% it will result in the quantity demanded of x to increase by (0.6*10) =6%. The current quantity demanded of good x is 10 so a 6% increase will mean the quantity demanded of x will be (1.06*10)= 10.6
Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars
Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.
Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.
If Δx is very small:
f'(x) . Δx ≅ f(x+Δx) - f(x)
Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:
dy = f'(x) dx
which means that the differential dy is approximately equal to the change Δy, if Δx is very small.
For the question, R(x) = y(x) = 14,000ln(0.01x+1)
f'(x) = ![\frac{d[14,000.ln(0.01x+1)]}{dx}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5B14%2C000.ln%280.01x%2B1%29%5D%7D%7Bdx%7D)
Using the chain rule, the derivative will be:
f'(x) = 14,000.
dy = 14,000..dx
dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:
dy = 14,000
dy = 
dy = 66.67
The change in revenue is $66.67 dollars.
Answer:
The answer is: C) A falling interest rate will lead to a movement along the demand curve for loanable funds
Explanation:
When you think about a loan, the interest rate is what you pay for getting the loan. So we can assume the interest rate is the price of the loan.
If the interest rates decrease, it is equivalent to a price decrease. Whenever the price of a good or service decreases, the quantity demanded for that good or service increases.
At the Saint Francis Hospital, an adult education director
uses What-if analysis to evaluate the interactions of
variables that contribute to the profitability of various potential seminars. A
What-If Analysis is the process of altering the values in cells to see how
those changes will affect the outcome of formulas on the worksheet.
