Below is to complete the question;
<span>How much money should Timothy and Tiffany deposit annually for 20 years in order to provide an income of $30,000 per year for the next 10 years? Assume the interest rate is a constant 4%.
</span>
<span>Use the annual rate formula.
You are given Future, F=$30,000
You are given interest, i=4% or 0.04
You are given time, n=10 years for future equation and n=20 years for annual equation.
Plug those numbers in the formulas your teacher gave you.</span>
Use the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 4500
PMTthe actual end-of-year payment?
R interest rate 0.12
N 4 equal annual installments
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT=4,500÷((1−(1+0.12)^(−4))÷(0.12))
PMT=1,481.55
Given the table below describing the total and marginal benefit Elvis
gets from fried peanut butter and banana sandwiches.
![\begin{tabular} {|p {3.5cm}|p {2.0cm}|p {2.6cm}|} \multicolumn {3} {|c|} {Elvis' Fried Peanut Butter and Banana Sandwich Benefit}\\[2ex] Fried PBB Sandwiches&Total Benefit (dollars)&Marginal Benefit (dollars)\\[1ex] 1&&42\\ 2&&24\\ 3&75&\\ 4&81&\\ 5&&-3 \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cp%20%7B3.5cm%7D%7Cp%20%7B2.0cm%7D%7Cp%20%7B2.6cm%7D%7C%7D%0A%5Cmulticolumn%20%7B3%7D%20%7B%7Cc%7C%7D%20%7BElvis%27%20Fried%20Peanut%20Butter%20and%20Banana%20Sandwich%20Benefit%7D%5C%5C%5B2ex%5D%0AFried%20PBB%20Sandwiches%26Total%20Benefit%20%28dollars%29%26Marginal%20Benefit%20%28dollars%29%5C%5C%5B1ex%5D%0A1%26%2642%5C%5C%0A2%26%2624%5C%5C%0A3%2675%26%5C%5C%20%09%0A4%2681%26%5C%5C%20%09%0A5%26%26-3%0A%5Cend%7Btabular%7D)
<span>The marginal benefit of the 4th fried peanut butter and banana sandwich is given by $81 - $75 = $6.</span>
Answer:
a. fallacy that association is causation
Explanation:
Alicia is making an association between chocolate and acne but, there is no proof on Alicia statement There should be a positive correlation between the chocolate eaten by Alicia and the acne to stablish a cause-effect between each variable else, we are doing a simplistic analysis.
Answer:
a. 2 years
b. 1 year
c. 12 times
Explanation:
Interest period is the duration of the deposit. It is the length of time the money would remain in deposit. This is 2 years according to the question
Compounding period = number of times interest would be paid. In the question, this is a year. So interest would be paid every year
The compounding frequency - it is the number of times the deposit would be compounded. It is 12 months
The future value of the deposit can be determined using this formula :
FV = P (1 + r/m)^nm
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding