Math Answers

To save money for a new house, you want to begin contributing money to a savings account. Your plan is to make equal contributions to the account for eight years. Each contribution will be R18490,00. The contributions will come at the end of every three month period, starting three months from now. The savings account pays 9% interest per annum, compounded quarterly. How much money do you expect to have in the account at the end of the eight years?

A certain book manufacturing company presents the time it takes for sheets from a press to be folded, gathered,

sewn, tipped on end sheets, and bound. The following data represent samples of books of two book production

companies and the processing time for these jobs. The processing time refers to the time in days starting from

the time the books come off the press to the time they are packed in cartons. Assume the data values came from

normally distributed populations with unequal variances and use 5% level of significance.

Company 1 5.42 5.32 16.25 10.45 21.5

Company 2 9.46 11.36 16.62 12.6 15.5 18.7 10.75 14.2

Is there sufficient evidence to conclude that Company 1 is more efficient than Company 2 if the processing

time is a measure of efficiency?

Gillbert got a new job in a shoe store. The number of pairs of shoes he was able to sell for three days are 2, 4, and 5. Assume that samples of size 2 are randomly selected with replacement from this population of three values.

a. List down the 9 different possible samples.

b. Find the mean of each sample.

c. Find the mean of the sampling distribution of means.

d. Identify the probability of each sample.

e. Find the population mean.

f. Compare the population mean with the mean of the sampling distribution of means.

1. y²dx-(xy+y²)dy=0

Let substitution v=y/x ; y=vx ; dy= vdx+xdv

2. x²dy+(2xy-y²)dx=0

Let substitution v=y/x ; y=vx ; dy= vdx+xdv

Waterisbeingpouredattherateof2⇡m3/min.intoaninvertedconicaltankthat is 12-meter deep with a radius of 6 meters at the top. If the water level is rising at the rate of 61 m/min and there is a leak at the bottom of the tank, how fast is the water leaking when the water is 6-meter deep?

The diameter of a Ferris wheel is 10 meters. From a platform 2 meters above the ground, you board the Ferris wheel at the bottom. Determine an equation for a rider's height in relation to time if it takes 35 seconds to reach the summit. Sketch the graph.

A random sample of size 4 is taken with replacement from a population with mean 12 and variance 8.Determine the mean ,variance,and standard deviation.

Determine the form of a particular solution for each differential equation. No need to solve for the general solution of the differential equation.

1. y'' − 3y' + 2y = xe^x + 1

Find the integral surface of the PDE:

x²p + y²q +z² =0

which passes through the hyperbola

xy =x+y, z=1.

miller biker supply is one of manila as large as bakery needs supplier my life usually sell on credit and on the usual term intake 60 day for a customer received to be collected through in a demand nature of minor product it only takes miller 25 days to sell it supplies after being purchased from the supplier .On the other hand miller make use of a 30 days period before it pays its obligation to its supplier

A.compute the operating cycle

B.compute the cash conversion cycle