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Annuities Solve the following problems. Show your complete solutions. 1. In order to save for her high school graduation, Juan decided to save P200 at the end of each month. If the bank pays 0.250% compounded monthly, how much will her money be at the end of 6 years? 2. Suppose Mrs. Reyes would like to save P3,000 every month in a fund that gives 9% compounded monthly. How much is the amount of future value of her savings after 6 months? 3. Mr. Dela Cruz wants to buy a simple ordinary annuity of P100,000 per year for 5 years. He wants to enter a contract with SM Company and deposit a certain amount so that later, the company will pay him P100,000 per year for 5 years. Suppose the SM Company offered offered 2.2% compounded annually, find the amount Mr. Dela Cruz should deposit to the company. 4. Find the future value and the present value of annuity for P300,000 investment at 2% quarterly for 5 years.
The mean score of a college entrance test is 500, the standard deviation is 75 and the scores are normally distributed.
(a) Identify the null hypothesis and the alternative hypothesis. (b) Determine the test statistic. (c) Determine the p-value.
An automobile manufacturer claims the variance in the fuel consumption for its vehicles is less than the variance of similar type vehicles from another competitor.
Heights Of 10-year old boys, Weve established that heights of 10-year old boys vary according to Normal distribution with =138 centimeters and = 7 centimeters. What proportion is between 150 and 140 centimeters
A random sample of 144 with a mean of 300 and a standard deviation of 100 is taken from a population of 5000. Find an interval estimate for µ such that we are 90% confident that the interval includes µ.
A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others.
Assume that the standard deviation of monthly rents paid by students in a particular town is $40. A random sample of 100 students was taken to estimate the mean monthly rent paid by the whole student population. What is the probability that the sam..
A recent Gallup Poll found that of 800 randomly selected drivers surveyed, 70% thought they were better-than-average drivers.
7% of his eggs are underweight, and that 14% weigh over 72 grams. If a normal model is appropriate, what would the standard deviation of his egg weights be?
1. What should the newspaper do? Use appropriate test and state the assumption(s). 2. What is the P-value for the test you have conducted in part a?
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify.
Measurements were taken on the length of call (defined as the difference, in seconds, between the time the person answers the phone and the time he or she hangs up). Analyze the data and compare the three independent groups of callers.
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