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In Exercises 1 to 2, calculate the finance charge for a credit card that has the given average daily

balance and interest rate. Show your solutions.


1. Average daily balance: P118.72; monthly interest rate: 1.25%


2. Average daily balance: P10,154.87; monthly interest rate: 1.5%


If the variance of the population is 5, what is the variance of the sampling distribution of the means of size 3 drawn from this population?

Let 𝐴=   1 1 1 3

               2 0 4 6

               1 1 3 7


a. What size is A?

b. What is the third column of A?

 c. What is the second row of A?

d. What is the element of A in the (3,2)th position?

e. What is A’?



A particle moves along the parabola y2 = 4x with a constant horizontal component velocity of 2 m/s. Find the vertical component of the velocity at the point (1, 2).


Calculate the modulus and the principle value of the argument of the following complex no -3+j4

A sample of 160 people has a mean age of 27 with a population standard deviation of 5. Test the hypothesis that the population mean is 26.7 at =0.05

{1,-1,2,-2} is a compact set. True or false with full explanation

the average cholesterol of a certain canned goods is 180 milligrams, and the standard deviation is 12 milligrams. assume that the variable is normally distributed. if a sample of 16 canned goods is selected, what is the probability that the mean of the sample will be greater than 172 milligrams

the average number of pages in a novel is 276 witha standard deviation of 18 pages. is a sample of 40 novels is randomly chosen, what is the probability that the average number of pages in these books is between 268 and 281?

Express 2i/1+i in the form a+bi, where



a,b∈R.


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