Math Answers

A person estimates that he can afford a mortgage payment of $1,200 per month. He can obtain a 30-year mortgage at an interest rate of 11.25 percent. What is the largest mortgage loan he can afford?

A person wants to buy a life insurance policy that would yield a large enough sum of money to provide semiannual payments for 20 years of $25,000 to surviving members of the family. The payments would begin 6 months from the time of death. It is assumed that interest could be earned on the sum received from the policy at a rate of 8 percent per year compounded semiannually. What amount of insurance should be taken out as to ensure the desired annuity? How much interest will be earned on the policy benefits over the 20 year period?

Given $250,000 today, determine the equivalent series of 24 semiannual payments that could be generated beginning six months from today. Assume interest of 9 percent per year compounded semiannually.

Show that the function u(x,y)=tan^-1(y/x) is a solution of the two dimensional Laplace's equation.

Polynomials p(x)=4x*x*x-2x*x+px+5 and q(x)=x*x*x+6x*x+p, leave the remainders a and b respectively, when divided by (x-2). Find the value of people, if a+b =0

1. The following data are the measures of the diameters of 36 rivet heads in millimetres.
170.69 171.96 173.23 170.18 172.21 170.18 168.15 171.45 169.16
169.16 168.66 171.70 170.94 172.72 170.69 171.70 171.70 169.67
169.16 168.15 170.69 171.70 170.18 172.21 171.70 169.42 170.18
170.69 171.20 172.97 172.47 170.21 169.16 171.70 171.70 170.69
(i) Complete the table below.
Diameters Midpoint Frequency Cumulative Frequency
168.15  x 168.90
168.90  x 169.65
169.65  x 170.40
170.40  x 171.15
171.15  x 171.90
171.90  x 172.65
172.65  x 173.40
(ii) Based on the answer in (i), find the mean, median and mode. Then identify the shape
of the data and state your reason.
(iii) Based on the answer in (i), construct a histogram and a frequency polygon of the
measurement of the diameter of rivet heads on a same graph paper and axes. Then
identify the shape of the histogram.
(iv) Is the shape of distribution determined in (ii) can be supported by the shape of the
histogram? State your reason.

Question #33200.The sum of the squares of two digits of a positive integral number is 65 and the number is 9 times the sum of its digits. Find the number.
In the solution of Question #33200 you said the possible range is 1 to 8.. I don't understand this possible range.. And in other solutions there is written the number is 10x+y. How does the number is 10x+y.? Please solve this query for me. I'll be waiting for your kind response

Use the following information to answer the next 2 questions:
A realtor's website provides information on area homes that are for sale.
1. Identify the variable as either categorical or quantitative: List price (amount, in thousands of dollars for which the house is being sold) (1 point) 

2. Identify the variable as either categorical or quantitative: School district (the school district in which the home is located) (1 point) 

3. What are the cases in the realtor’s dataset? (1 point) 


Suppose that 10 years ago you bought a home for $110,000, paying 10% as a down payment, and financing the rest at 9% interest for 30 years.
How much did you pay as a down payment?
How much was your existing loan for?
What is your current monthly payment on your existing mortgage?
How much total interest will you pay over the life of the existing loan?